TSTP Solution File: ALG131+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG131+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 : n025.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 16:36:34 EDT 2023
% Result : Unsatisfiable 24.69s 4.04s
% Output : Proof 245.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ALG131+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.07 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.07/0.26 % Computer : n025.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Aug 28 04:39:39 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.10/0.52 ________ _____
% 0.10/0.52 ___ __ \_________(_)________________________________
% 0.10/0.52 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.10/0.52 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.10/0.52 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.10/0.52
% 0.10/0.52 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.10/0.52 (2023-06-19)
% 0.10/0.52
% 0.10/0.52 (c) Philipp Rümmer, 2009-2023
% 0.10/0.52 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.10/0.52 Amanda Stjerna.
% 0.10/0.52 Free software under BSD-3-Clause.
% 0.10/0.52
% 0.10/0.52 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.10/0.52
% 0.10/0.52 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.10/0.53 Running up to 7 provers in parallel.
% 0.10/0.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.10/0.54 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.10/0.54 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.10/0.54 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.10/0.54 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.10/0.54 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.10/0.54 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 4.50/1.29 Prover 4: Preprocessing ...
% 4.50/1.29 Prover 1: Preprocessing ...
% 4.50/1.33 Prover 0: Preprocessing ...
% 4.50/1.33 Prover 6: Preprocessing ...
% 4.50/1.34 Prover 3: Preprocessing ...
% 4.50/1.34 Prover 2: Preprocessing ...
% 4.50/1.34 Prover 5: Preprocessing ...
% 7.80/1.73 Prover 3: Constructing countermodel ...
% 7.80/1.73 Prover 2: Constructing countermodel ...
% 8.08/1.75 Prover 1: Constructing countermodel ...
% 8.08/1.76 Prover 4: Constructing countermodel ...
% 8.08/1.76 Prover 6: Constructing countermodel ...
% 8.08/1.77 Prover 0: Constructing countermodel ...
% 9.14/2.04 Prover 5: Constructing countermodel ...
% 24.69/4.04 Prover 3: proved (3497ms)
% 24.69/4.04
% 24.69/4.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.69/4.04
% 24.69/4.04 Prover 2: stopped
% 24.69/4.04 Prover 6: stopped
% 24.69/4.05 Prover 0: stopped
% 24.69/4.06 Prover 5: stopped
% 24.69/4.06 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 24.69/4.07 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 24.69/4.07 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 24.69/4.07 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 24.69/4.07 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.92/4.33 Prover 8: Preprocessing ...
% 26.92/4.34 Prover 10: Preprocessing ...
% 27.54/4.36 Prover 11: Preprocessing ...
% 27.54/4.36 Prover 7: Preprocessing ...
% 27.54/4.36 Prover 13: Preprocessing ...
% 28.18/4.44 Prover 8: Constructing countermodel ...
% 28.79/4.53 Prover 11: Constructing countermodel ...
% 28.79/4.55 Prover 7: Constructing countermodel ...
% 28.79/4.55 Prover 13: Constructing countermodel ...
% 29.35/4.59 Prover 10: Constructing countermodel ...
% 66.05/9.45 Prover 13: stopped
% 66.05/9.45 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 67.47/9.55 Prover 16: Preprocessing ...
% 68.58/9.71 Prover 16: Constructing countermodel ...
% 111.31/15.29 Prover 16: stopped
% 111.31/15.29 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 111.99/15.37 Prover 19: Preprocessing ...
% 112.83/15.50 Prover 19: Constructing countermodel ...
% 115.92/15.89 Prover 1: stopped
% 137.13/19.04 Prover 19: stopped
% 178.00/26.70 Prover 7: stopped
% 183.38/27.87 Prover 4: stopped
% 220.66/39.34 Prover 11: Found proof (size 25309248)
% 220.66/39.34 Prover 11: proved (35270ms)
% 220.66/39.35 Prover 10: stopped
% 220.66/39.35 Prover 8: stopped
% 220.66/39.35
% 220.66/39.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 220.66/39.35
% 225.12/41.12 % SZS output start Proof for theBenchmark
% 225.59/41.52 Assumptions after simplification:
% 225.59/41.52 ---------------------------------
% 225.59/41.52
% 225.59/41.53 (ax1)
% 226.29/41.65 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.65 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 226.29/41.65 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 226.29/41.65 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 226.29/41.65 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 226.29/41.65 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 226.29/41.65 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 226.29/41.65 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 226.29/41.65 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 226.29/41.65 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 226.29/41.65 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 226.29/41.65 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 226.29/41.65 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 226.29/41.65 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 226.29/41.65 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 226.29/41.65 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 226.29/41.65 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 226.29/41.65 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 226.29/41.65 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 226.29/41.65
% 226.29/41.65 (ax10)
% 226.29/41.66 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.66 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 226.29/41.66 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 &
% 226.29/41.66 $i(v1))))
% 226.29/41.66
% 226.29/41.66 (ax11)
% 226.29/41.66 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.66 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 226.29/41.66 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 &
% 226.29/41.66 $i(v1))))
% 226.29/41.66
% 226.29/41.66 (ax12)
% 226.29/41.66 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.66 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 226.29/41.66 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 &
% 226.29/41.67 $i(v1))))
% 226.29/41.67
% 226.29/41.67 (ax13)
% 226.29/41.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 226.29/41.67 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 &
% 226.29/41.67 $i(v1))))
% 226.29/41.67
% 226.29/41.67 (ax14)
% 226.29/41.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.67 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 &
% 226.29/41.67 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 &
% 226.29/41.67 $i(v1))))
% 226.29/41.67
% 226.29/41.67 (ax15)
% 226.29/41.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.67 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 226.29/41.67 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 &
% 226.29/41.67 $i(v1))))
% 226.29/41.67
% 226.29/41.67 (ax16)
% 226.29/41.67 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.67 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 &
% 226.29/41.67 op(e2, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 &
% 226.29/41.67 $i(v1))))
% 226.29/41.67
% 226.29/41.67 (ax17)
% 226.29/41.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.68 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 &
% 226.29/41.68 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 &
% 226.29/41.68 $i(v1))))
% 226.29/41.68
% 226.29/41.68 (ax18)
% 226.29/41.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.68 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 226.29/41.68 op(e3, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 &
% 226.29/41.68 $i(v1))))
% 226.29/41.68
% 226.29/41.68 (ax19)
% 226.29/41.68 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.68 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 226.29/41.68 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 &
% 226.29/41.68 $i(v1))))
% 226.29/41.68
% 226.29/41.68 (ax2)
% 226.29/41.72 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.72 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 226.29/41.72 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 226.29/41.72 $i] : ? [v14: $i] : ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 =
% 226.29/41.72 e3 & op(e3, e2) = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3,
% 226.29/41.72 e0) = e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 226.29/41.72 e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v15
% 226.29/41.72 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11 = e2 &
% 226.29/41.72 op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 = e2 & op(e3,
% 226.29/41.72 e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 & op(e1, e3) = e2)
% 226.29/41.72 | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 & op(e3, e3) = e1) | (v14 = e1
% 226.29/41.72 & op(e3, e2) = e1) | (v11 = e1 & op(e3, e1) = e1) | (v6 = e1 & op(e3,
% 226.29/41.72 e0) = e1)) & ((v15 = e1 & op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) =
% 226.29/41.72 e1) | (v9 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15
% 226.29/41.72 = e0 & op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 226.29/41.72 op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 & op(e3,
% 226.29/41.72 e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 & op(e1, e3) = e0)
% 226.29/41.72 | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 & op(e3, e2) = e3) | (v12 = e3
% 226.29/41.72 & op(e2, e2) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v2 = e3 & op(e0, e2)
% 226.29/41.72 = e3)) & ((v14 = e2 & op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 226.29/41.72 (v8 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 226.29/41.72 op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 & op(e1, e2)
% 226.29/41.72 = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 & op(e3, e2) = e0) |
% 226.29/41.72 (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 226.29/41.72 op(e0, e2) = e0)) & ((v13 = e3 & op(e2, e3) = e3) | (v12 = e3 & op(e2,
% 226.29/41.72 e2) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) =
% 226.29/41.72 e3)) & ((v13 = e2 & op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) |
% 226.29/41.72 (v10 = e2 & op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 226.29/41.72 op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 & op(e2, e1)
% 226.29/41.72 = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 & op(e2, e3) = e0) |
% 226.29/41.72 (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v5 = e0 &
% 226.29/41.72 op(e2, e0) = e0)) & ((v11 = e3 & op(e3, e1) = e3) | (v10 = e3 & op(e2,
% 226.29/41.72 e1) = e3) | (v7 = e3 & op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3))
% 226.29/41.72 & ((v11 = e2 & op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 226.29/41.72 op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 & op(e3,
% 226.29/41.72 e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 & op(e1, e1) = e1)
% 226.29/41.72 | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 & op(e3, e1) = e0) | (v10 = e0
% 226.29/41.72 & op(e2, e1) = e0) | (v7 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1)
% 226.29/41.72 = e0)) & ((v9 = e3 & op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) |
% 226.29/41.72 (v7 = e3 & op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 226.29/41.72 op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 & op(e1, e1) =
% 226.29/41.72 e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 & op(e1, e3) = e1) | (v8
% 226.29/41.72 = e1 & op(e1, e2) = e1) | (v7 = e1 & op(e1, e1) = e1) | (v4 = e1 &
% 226.29/41.72 op(e1, e0) = e1)) & ((v9 = e0 & op(e1, e3) = e0) | (v8 = e0 & op(e1, e2)
% 226.29/41.72 = e0) | (v7 = e0 & op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) &
% 226.29/41.72 ((v6 = e3 & op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 226.29/41.72 op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 & op(e3, e0)
% 226.29/41.72 = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 & op(e1, e0) = e2) | (v0
% 226.29/41.72 = e2 & op(e0, e0) = e2)) & ((v6 = e1 & op(e3, e0) = e1) | (v5 = e1 &
% 226.29/41.72 op(e2, e0) = e1) | (v4 = e1 & op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) =
% 226.29/41.72 e1)) & ((v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 226.29/41.72 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 226.29/41.72 op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 & op(e0, e1) =
% 226.29/41.72 e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 & op(e0, e3) = e1) | (v2
% 226.29/41.72 = e1 & op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 226.29/41.72 op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v6 = e0 & op(e3,
% 226.29/41.72 e0) = e0) | (v5 = e0 & op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) =
% 226.29/41.72 e0)) & ((v3 = e0 & op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) |
% 226.29/41.72 (v1 = e0 & op(e0, e1) = e0)))))
% 226.29/41.72
% 226.29/41.72 (ax20)
% 226.29/41.72 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.29/41.72 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 &
% 226.29/41.72 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 &
% 226.29/41.72 $i(v1))))
% 226.73/41.72
% 226.73/41.72 (ax21)
% 226.73/41.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 226.73/41.73 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 &
% 226.73/41.73 $i(v1))))
% 226.73/41.73
% 226.73/41.73 (ax22)
% 226.73/41.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.73 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 &
% 226.73/41.73 op(e1, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 &
% 226.73/41.73 $i(v1))))
% 226.73/41.73
% 226.73/41.73 (ax23)
% 226.73/41.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.73 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 &
% 226.73/41.73 op(e0, e3) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 &
% 226.73/41.73 $i(v1))))
% 226.73/41.73
% 226.73/41.73 (ax24)
% 226.73/41.73 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.73 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 226.73/41.73 op(e2, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 &
% 226.73/41.73 $i(v1))))
% 226.73/41.73
% 226.73/41.73 (ax25)
% 226.73/41.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.74 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 226.73/41.74 op(e1, e0) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 &
% 226.73/41.74 $i(v1))))
% 226.73/41.74
% 226.73/41.74 (ax26)
% 226.73/41.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.74 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 &
% 226.73/41.74 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 &
% 226.73/41.74 $i(v1))))
% 226.73/41.74
% 226.73/41.74 (ax27)
% 226.73/41.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.74 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 226.73/41.74 op(e0, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 &
% 226.73/41.74 $i(v1))))
% 226.73/41.74
% 226.73/41.74 (ax28)
% 226.73/41.74 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.74 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 &
% 226.73/41.74 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 &
% 226.73/41.74 $i(v1))))
% 226.73/41.74
% 226.73/41.74 (ax29)
% 226.73/41.75 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.75 (op(e0, e0) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 &
% 226.73/41.75 op(e0, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 &
% 226.73/41.75 $i(v1))))
% 226.73/41.75
% 226.73/41.75 (ax3)
% 226.73/41.76 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.76 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 226.73/41.76 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 226.73/41.76 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 226.73/41.76 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 226.73/41.76 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 226.73/41.76 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 226.73/41.76 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 226.73/41.76 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 226.73/41.76 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 226.73/41.76 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 226.73/41.76 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 226.73/41.76 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 226.73/41.76 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 226.73/41.76 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 226.73/41.76 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 226.73/41.76 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 226.73/41.76 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 226.73/41.76 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 226.73/41.76 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.73/41.76
% 226.73/41.76 (ax4)
% 226.73/41.76 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 226.73/41.76 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 226.73/41.76
% 226.73/41.76 (ax5)
% 226.73/41.78 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.73/41.78 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 226.73/41.78 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 226.73/41.78 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 226.73/41.78 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 226.73/41.78 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 226.73/41.78 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op(e3, e3) = v30 &
% 226.73/41.78 op(e2, e2) = v20 & op(e1, e1) = v10 & op(e0, e0) = v0 & $i(v30) & $i(v20) &
% 226.73/41.78 $i(v10) & $i(v0) & ((v31 = e3 & op(e3, v30) = e3) | (v29 = e2 & op(e2, v28)
% 226.73/41.78 = e2 & op(e2, e3) = v28 & $i(v28)) | (v27 = e1 & op(e1, v26) = e1 &
% 226.73/41.78 op(e1, e3) = v26 & $i(v26)) | (v25 = e0 & op(e0, v24) = e0 & op(e0, e3)
% 226.73/41.78 = v24 & $i(v24))) & ((v28 = e3 & v22 = e3 & ~ (v30 = e2) & ~ (v20 =
% 226.73/41.78 e2) & ~ (v10 = e2) & ~ (v0 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 226.73/41.78 e3) | (v28 = e2 & v22 = e2 & ~ (v30 = e3) & ~ (v20 = e3) & ~ (v10 =
% 226.73/41.78 e3) & ~ (v0 = e3) & op(e3, e2) = e2 & op(e2, e3) = e2) | (v26 = e3 &
% 226.73/41.78 v14 = e3 & ~ (v30 = e1) & ~ (v20 = e1) & ~ (v10 = e1) & ~ (v0 = e1)
% 226.73/41.78 & op(e3, e1) = e3 & op(e1, e3) = e3) | (v26 = e1 & v14 = e1 & ~ (v30 =
% 226.73/41.78 e3) & ~ (v20 = e3) & ~ (v10 = e3) & ~ (v0 = e3) & op(e3, e1) = e1 &
% 226.73/41.78 op(e1, e3) = e1) | (v24 = e3 & v6 = e3 & ~ (v30 = e0) & ~ (v20 = e0) &
% 226.73/41.78 ~ (v10 = e0) & ~ (v0 = e0) & op(e3, e0) = e3 & op(e0, e3) = e3) | (v24
% 226.73/41.78 = e0 & v6 = e0 & ~ (v30 = e3) & ~ (v20 = e3) & ~ (v10 = e3) & ~ (v0
% 226.73/41.78 = e3) & op(e3, e0) = e0 & op(e0, e3) = e0) | (v18 = e2 & v12 = e2 & ~
% 226.73/41.78 (v30 = e1) & ~ (v20 = e1) & ~ (v10 = e1) & ~ (v0 = e1) & op(e2, e1) =
% 226.73/41.78 e2 & op(e1, e2) = e2) | (v18 = e1 & v12 = e1 & ~ (v30 = e2) & ~ (v20 =
% 226.73/41.78 e2) & ~ (v10 = e2) & ~ (v0 = e2) & op(e2, e1) = e1 & op(e1, e2) =
% 226.73/41.78 e1) | (v16 = e2 & v4 = e2 & ~ (v30 = e0) & ~ (v20 = e0) & ~ (v10 =
% 226.73/41.78 e0) & ~ (v0 = e0) & op(e2, e0) = e2 & op(e0, e2) = e2) | (v16 = e0 &
% 226.73/41.78 v4 = e0 & ~ (v30 = e2) & ~ (v20 = e2) & ~ (v10 = e2) & ~ (v0 = e2) &
% 226.73/41.78 op(e2, e0) = e0 & op(e0, e2) = e0) | (v8 = e1 & v2 = e1 & ~ (v30 = e0)
% 226.73/41.78 & ~ (v20 = e0) & ~ (v10 = e0) & ~ (v0 = e0) & op(e1, e0) = e1 &
% 226.73/41.78 op(e0, e1) = e1) | (v8 = e0 & v2 = e0 & ~ (v30 = e1) & ~ (v20 = e1) &
% 226.73/41.78 ~ (v10 = e1) & ~ (v0 = e1) & op(e1, e0) = e0 & op(e0, e1) = e0)) &
% 226.73/41.78 ((v23 = e3 & op(e3, v22) = e3 & op(e3, e2) = v22 & $i(v22)) | (v21 = e2 &
% 226.73/41.78 op(e2, v20) = e2) | (v19 = e1 & op(e1, v18) = e1 & op(e1, e2) = v18 &
% 226.73/41.78 $i(v18)) | (v17 = e0 & op(e0, v16) = e0 & op(e0, e2) = v16 & $i(v16))) &
% 226.73/41.78 ((v15 = e3 & op(e3, v14) = e3 & op(e3, e1) = v14 & $i(v14)) | (v13 = e2 &
% 226.73/41.78 op(e2, v12) = e2 & op(e2, e1) = v12 & $i(v12)) | (v11 = e1 & op(e1, v10)
% 226.73/41.78 = e1) | (v9 = e0 & op(e0, v8) = e0 & op(e0, e1) = v8 & $i(v8))) & ((v7 =
% 226.73/41.78 e3 & op(e3, v6) = e3 & op(e3, e0) = v6 & $i(v6)) | (v5 = e2 & op(e2, v4)
% 226.73/41.78 = e2 & op(e2, e0) = v4 & $i(v4)) | (v3 = e1 & op(e1, v2) = e1 & op(e1,
% 226.73/41.78 e0) = v2 & $i(v2)) | (v1 = e0 & op(e0, v0) = e0)))
% 226.73/41.78
% 226.73/41.78 (ax6)
% 227.03/41.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.03/41.79 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 227.03/41.79 op(e3, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 &
% 227.03/41.79 $i(v1))))
% 227.03/41.79
% 227.03/41.79 (ax7)
% 227.03/41.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.03/41.79 (op(e2, e2) = v0 & $i(v0) & ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 &
% 227.03/41.79 op(e2, e1) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 &
% 227.03/41.79 $i(v1))))
% 227.03/41.79
% 227.03/41.79 (ax8)
% 227.03/41.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.03/41.79 (op(e3, e3) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 &
% 227.03/41.79 op(e3, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 &
% 227.03/41.79 $i(v1))))
% 227.03/41.79
% 227.03/41.79 (ax9)
% 227.03/41.79 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 227.03/41.79 (op(e1, e1) = v0 & $i(v0) & ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 &
% 227.03/41.79 op(e1, e2) = v1 & $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 &
% 227.03/41.79 $i(v1))))
% 227.03/41.79
% 227.03/41.79 (function-axioms)
% 227.03/41.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 227.03/41.79 v2) = v1) | ~ (op(v3, v2) = v0))
% 227.03/41.79
% 227.03/41.79 Those formulas are unsatisfiable:
% 227.03/41.79 ---------------------------------
% 227.03/41.79
% 227.03/41.79 Begin of proof
% 227.03/41.80 |
% 227.03/41.80 | ALPHA: (ax1) implies:
% 227.03/41.81 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 227.03/41.81 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 227.03/41.81 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 227.03/41.81 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 227.03/41.81 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 227.03/41.81 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 227.03/41.81 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 227.03/41.81 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 227.03/41.81 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 227.03/41.81 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 227.03/41.81 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 227.03/41.81 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 227.03/41.81 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 227.03/41.81 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 227.03/41.81 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 227.03/41.81 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 227.03/41.81 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 227.03/41.81 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 227.03/41.81 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 227.03/41.81 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 227.03/41.81 | = e0))
% 227.03/41.81 |
% 227.03/41.81 | ALPHA: (ax2) implies:
% 227.03/41.83 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 227.03/41.83 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 227.03/41.83 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 227.03/41.83 | ? [v15: $i] : (((v15 = e3 & op(e3, e3) = e3) | (v14 = e3 & op(e3, e2)
% 227.03/41.83 | = e3) | (v11 = e3 & op(e3, e1) = e3) | (v6 = e3 & op(e3, e0) =
% 227.03/41.83 | e3)) & ((v15 = e3 & op(e3, e3) = e3) | (v13 = e3 & op(e2, e3) =
% 227.03/41.83 | e3) | (v9 = e3 & op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3))
% 227.03/41.83 | & ((v15 = e2 & op(e3, e3) = e2) | (v14 = e2 & op(e3, e2) = e2) | (v11
% 227.03/41.83 | = e2 & op(e3, e1) = e2) | (v6 = e2 & op(e3, e0) = e2)) & ((v15 =
% 227.03/41.83 | e2 & op(e3, e3) = e2) | (v13 = e2 & op(e2, e3) = e2) | (v9 = e2 &
% 227.03/41.83 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v15 = e1 &
% 227.03/41.83 | op(e3, e3) = e1) | (v14 = e1 & op(e3, e2) = e1) | (v11 = e1 &
% 227.03/41.83 | op(e3, e1) = e1) | (v6 = e1 & op(e3, e0) = e1)) & ((v15 = e1 &
% 227.03/41.83 | op(e3, e3) = e1) | (v13 = e1 & op(e2, e3) = e1) | (v9 = e1 &
% 227.03/41.84 | op(e1, e3) = e1) | (v3 = e1 & op(e0, e3) = e1)) & ((v15 = e0 &
% 227.03/41.84 | op(e3, e3) = e0) | (v14 = e0 & op(e3, e2) = e0) | (v11 = e0 &
% 227.03/41.84 | op(e3, e1) = e0) | (v6 = e0 & op(e3, e0) = e0)) & ((v15 = e0 &
% 227.03/41.84 | op(e3, e3) = e0) | (v13 = e0 & op(e2, e3) = e0) | (v9 = e0 &
% 227.03/41.84 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v14 = e3 &
% 227.03/41.84 | op(e3, e2) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v8 = e3 &
% 227.03/41.84 | op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v14 = e2 &
% 227.03/41.84 | op(e3, e2) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v8 = e2 &
% 227.03/41.84 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v14 = e1 &
% 227.03/41.84 | op(e3, e2) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v8 = e1 &
% 227.03/41.84 | op(e1, e2) = e1) | (v2 = e1 & op(e0, e2) = e1)) & ((v14 = e0 &
% 227.03/41.84 | op(e3, e2) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v8 = e0 &
% 227.03/41.84 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v13 = e3 &
% 227.03/41.84 | op(e2, e3) = e3) | (v12 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 227.03/41.84 | op(e2, e1) = e3) | (v5 = e3 & op(e2, e0) = e3)) & ((v13 = e2 &
% 227.03/41.84 | op(e2, e3) = e2) | (v12 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 227.03/41.84 | op(e2, e1) = e2) | (v5 = e2 & op(e2, e0) = e2)) & ((v13 = e1 &
% 227.03/41.84 | op(e2, e3) = e1) | (v12 = e1 & op(e2, e2) = e1) | (v10 = e1 &
% 227.03/41.84 | op(e2, e1) = e1) | (v5 = e1 & op(e2, e0) = e1)) & ((v13 = e0 &
% 227.03/41.84 | op(e2, e3) = e0) | (v12 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 227.03/41.84 | op(e2, e1) = e0) | (v5 = e0 & op(e2, e0) = e0)) & ((v11 = e3 &
% 227.03/41.84 | op(e3, e1) = e3) | (v10 = e3 & op(e2, e1) = e3) | (v7 = e3 &
% 227.03/41.84 | op(e1, e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v11 = e2 &
% 227.03/41.84 | op(e3, e1) = e2) | (v10 = e2 & op(e2, e1) = e2) | (v7 = e2 &
% 227.03/41.84 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v11 = e1 &
% 227.03/41.84 | op(e3, e1) = e1) | (v10 = e1 & op(e2, e1) = e1) | (v7 = e1 &
% 227.03/41.84 | op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) & ((v11 = e0 &
% 227.03/41.84 | op(e3, e1) = e0) | (v10 = e0 & op(e2, e1) = e0) | (v7 = e0 &
% 227.03/41.84 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v9 = e3 &
% 227.03/41.84 | op(e1, e3) = e3) | (v8 = e3 & op(e1, e2) = e3) | (v7 = e3 &
% 227.03/41.84 | op(e1, e1) = e3) | (v4 = e3 & op(e1, e0) = e3)) & ((v9 = e2 &
% 227.03/41.84 | op(e1, e3) = e2) | (v8 = e2 & op(e1, e2) = e2) | (v7 = e2 &
% 227.03/41.84 | op(e1, e1) = e2) | (v4 = e2 & op(e1, e0) = e2)) & ((v9 = e1 &
% 227.03/41.84 | op(e1, e3) = e1) | (v8 = e1 & op(e1, e2) = e1) | (v7 = e1 &
% 227.03/41.84 | op(e1, e1) = e1) | (v4 = e1 & op(e1, e0) = e1)) & ((v9 = e0 &
% 227.03/41.84 | op(e1, e3) = e0) | (v8 = e0 & op(e1, e2) = e0) | (v7 = e0 &
% 227.03/41.84 | op(e1, e1) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v6 = e3 &
% 227.03/41.84 | op(e3, e0) = e3) | (v5 = e3 & op(e2, e0) = e3) | (v4 = e3 &
% 227.03/41.84 | op(e1, e0) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v6 = e2 &
% 227.03/41.84 | op(e3, e0) = e2) | (v5 = e2 & op(e2, e0) = e2) | (v4 = e2 &
% 227.03/41.84 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v6 = e1 &
% 227.03/41.84 | op(e3, e0) = e1) | (v5 = e1 & op(e2, e0) = e1) | (v4 = e1 &
% 227.03/41.84 | op(e1, e0) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v3 = e3 &
% 227.03/41.84 | op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1 = e3 &
% 227.03/41.84 | op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v3 = e2 &
% 227.03/41.84 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 227.03/41.84 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v3 = e1 &
% 227.03/41.84 | op(e0, e3) = e1) | (v2 = e1 & op(e0, e2) = e1) | (v1 = e1 &
% 227.03/41.84 | op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v0 = e0 &
% 227.03/41.84 | op(e0, e0) = e0) | (((v6 = e0 & op(e3, e0) = e0) | (v5 = e0 &
% 227.03/41.84 | op(e2, e0) = e0) | (v4 = e0 & op(e1, e0) = e0)) & ((v3 = e0 &
% 227.03/41.84 | op(e0, e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 &
% 227.03/41.84 | op(e0, e1) = e0)))))
% 227.03/41.84 |
% 227.03/41.84 | ALPHA: (ax3) implies:
% 227.03/41.85 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 227.03/41.85 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 227.03/41.85 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 227.03/41.85 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 227.03/41.85 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 227.03/41.85 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 227.03/41.85 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 227.03/41.85 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 227.03/41.85 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 227.03/41.85 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 227.03/41.85 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 227.03/41.85 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 227.03/41.85 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 227.03/41.85 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 227.03/41.85 | v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) = v11 & op(e3,
% 227.03/41.85 | e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) = v10 &
% 227.03/41.85 | op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) =
% 227.03/41.85 | v9 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0,
% 227.03/41.85 | e2) = v8 & op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) &
% 227.03/41.85 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 227.03/41.85 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 227.03/41.85 |
% 227.03/41.85 | ALPHA: (ax4) implies:
% 227.03/41.85 | (4) ~ (e1 = e0)
% 227.03/41.85 | (5) ~ (e2 = e0)
% 227.03/41.85 | (6) ~ (e2 = e1)
% 227.03/41.85 | (7) ~ (e3 = e0)
% 227.03/41.85 | (8) ~ (e3 = e1)
% 227.03/41.85 | (9) ~ (e3 = e2)
% 227.03/41.85 |
% 227.03/41.85 | ALPHA: (ax5) implies:
% 227.34/41.87 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 227.34/41.87 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 227.34/41.87 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 227.34/41.87 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 227.34/41.87 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 227.34/41.87 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 227.34/41.87 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op(e3, e3) = v30
% 227.34/41.87 | & op(e2, e2) = v20 & op(e1, e1) = v10 & op(e0, e0) = v0 & $i(v30) &
% 227.34/41.87 | $i(v20) & $i(v10) & $i(v0) & ((v31 = e3 & op(e3, v30) = e3) | (v29 =
% 227.34/41.87 | e2 & op(e2, v28) = e2 & op(e2, e3) = v28 & $i(v28)) | (v27 = e1
% 227.34/41.87 | & op(e1, v26) = e1 & op(e1, e3) = v26 & $i(v26)) | (v25 = e0 &
% 227.34/41.87 | op(e0, v24) = e0 & op(e0, e3) = v24 & $i(v24))) & ((v28 = e3 &
% 227.34/41.87 | v22 = e3 & ~ (v30 = e2) & ~ (v20 = e2) & ~ (v10 = e2) & ~
% 227.34/41.87 | (v0 = e2) & op(e3, e2) = e3 & op(e2, e3) = e3) | (v28 = e2 & v22
% 227.34/41.87 | = e2 & ~ (v30 = e3) & ~ (v20 = e3) & ~ (v10 = e3) & ~ (v0 =
% 227.34/41.87 | e3) & op(e3, e2) = e2 & op(e2, e3) = e2) | (v26 = e3 & v14 =
% 227.34/41.87 | e3 & ~ (v30 = e1) & ~ (v20 = e1) & ~ (v10 = e1) & ~ (v0 =
% 227.34/41.87 | e1) & op(e3, e1) = e3 & op(e1, e3) = e3) | (v26 = e1 & v14 =
% 227.34/41.87 | e1 & ~ (v30 = e3) & ~ (v20 = e3) & ~ (v10 = e3) & ~ (v0 =
% 227.34/41.87 | e3) & op(e3, e1) = e1 & op(e1, e3) = e1) | (v24 = e3 & v6 = e3
% 227.34/41.87 | & ~ (v30 = e0) & ~ (v20 = e0) & ~ (v10 = e0) & ~ (v0 = e0) &
% 227.34/41.87 | op(e3, e0) = e3 & op(e0, e3) = e3) | (v24 = e0 & v6 = e0 & ~
% 227.34/41.87 | (v30 = e3) & ~ (v20 = e3) & ~ (v10 = e3) & ~ (v0 = e3) &
% 227.34/41.87 | op(e3, e0) = e0 & op(e0, e3) = e0) | (v18 = e2 & v12 = e2 & ~
% 227.34/41.87 | (v30 = e1) & ~ (v20 = e1) & ~ (v10 = e1) & ~ (v0 = e1) &
% 227.34/41.87 | op(e2, e1) = e2 & op(e1, e2) = e2) | (v18 = e1 & v12 = e1 & ~
% 227.34/41.87 | (v30 = e2) & ~ (v20 = e2) & ~ (v10 = e2) & ~ (v0 = e2) &
% 227.34/41.87 | op(e2, e1) = e1 & op(e1, e2) = e1) | (v16 = e2 & v4 = e2 & ~
% 227.34/41.87 | (v30 = e0) & ~ (v20 = e0) & ~ (v10 = e0) & ~ (v0 = e0) &
% 227.34/41.87 | op(e2, e0) = e2 & op(e0, e2) = e2) | (v16 = e0 & v4 = e0 & ~
% 227.34/41.87 | (v30 = e2) & ~ (v20 = e2) & ~ (v10 = e2) & ~ (v0 = e2) &
% 227.34/41.87 | op(e2, e0) = e0 & op(e0, e2) = e0) | (v8 = e1 & v2 = e1 & ~
% 227.34/41.87 | (v30 = e0) & ~ (v20 = e0) & ~ (v10 = e0) & ~ (v0 = e0) &
% 227.34/41.87 | op(e1, e0) = e1 & op(e0, e1) = e1) | (v8 = e0 & v2 = e0 & ~
% 227.34/41.87 | (v30 = e1) & ~ (v20 = e1) & ~ (v10 = e1) & ~ (v0 = e1) &
% 227.34/41.87 | op(e1, e0) = e0 & op(e0, e1) = e0)) & ((v23 = e3 & op(e3, v22) =
% 227.34/41.87 | e3 & op(e3, e2) = v22 & $i(v22)) | (v21 = e2 & op(e2, v20) = e2)
% 227.34/41.87 | | (v19 = e1 & op(e1, v18) = e1 & op(e1, e2) = v18 & $i(v18)) |
% 227.34/41.87 | (v17 = e0 & op(e0, v16) = e0 & op(e0, e2) = v16 & $i(v16))) &
% 227.34/41.87 | ((v15 = e3 & op(e3, v14) = e3 & op(e3, e1) = v14 & $i(v14)) | (v13 =
% 227.34/41.87 | e2 & op(e2, v12) = e2 & op(e2, e1) = v12 & $i(v12)) | (v11 = e1
% 227.34/41.87 | & op(e1, v10) = e1) | (v9 = e0 & op(e0, v8) = e0 & op(e0, e1) =
% 227.34/41.87 | v8 & $i(v8))) & ((v7 = e3 & op(e3, v6) = e3 & op(e3, e0) = v6 &
% 227.34/41.87 | $i(v6)) | (v5 = e2 & op(e2, v4) = e2 & op(e2, e0) = v4 & $i(v4))
% 227.34/41.87 | | (v3 = e1 & op(e1, v2) = e1 & op(e1, e0) = v2 & $i(v2)) | (v1 =
% 227.34/41.87 | e0 & op(e0, v0) = e0)))
% 227.34/41.87 |
% 227.34/41.87 | ALPHA: (ax6) implies:
% 227.34/41.87 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.87 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 227.34/41.87 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e1) = v1 & $i(v1))))
% 227.34/41.87 |
% 227.34/41.87 | ALPHA: (ax7) implies:
% 227.34/41.87 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.87 | ( ~ (v0 = e1) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 227.34/41.87 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e1) = v1 & $i(v1))))
% 227.34/41.87 |
% 227.34/41.87 | ALPHA: (ax8) implies:
% 227.34/41.87 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.87 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 227.34/41.87 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e2) = v1 & $i(v1))))
% 227.34/41.87 |
% 227.34/41.87 | ALPHA: (ax9) implies:
% 227.34/41.87 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.87 | ( ~ (v0 = e2) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 227.34/41.87 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e2) = v1 & $i(v1))))
% 227.34/41.87 |
% 227.34/41.87 | ALPHA: (ax10) implies:
% 227.34/41.88 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e3) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax11) implies:
% 227.34/41.88 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e3) | ( ~ (v2 = e0) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e3) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax12) implies:
% 227.34/41.88 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e3, e0) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax13) implies:
% 227.34/41.88 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e0) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e2, e0) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax14) implies:
% 227.34/41.88 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e3) = v2 & op(e3, e2) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e2) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax15) implies:
% 227.34/41.88 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.88 | ( ~ (v0 = e2) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 227.34/41.88 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e2) = v1 & $i(v1))))
% 227.34/41.88 |
% 227.34/41.88 | ALPHA: (ax16) implies:
% 227.34/41.89 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e2) = v2 & op(e2, e3) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e3) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax17) implies:
% 227.34/41.89 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e3) | ( ~ (v2 = e1) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e3) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax18) implies:
% 227.34/41.89 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e0) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e3, e0) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax19) implies:
% 227.34/41.89 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e0) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e1, e0) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax20) implies:
% 227.34/41.89 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e3, e3) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e3) = v2 & op(e3, e1) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e3, e1) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax21) implies:
% 227.34/41.89 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.89 | ( ~ (v0 = e1) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 227.34/41.89 | $i(v2) & $i(v1)) | ( ~ (v1 = e3) & op(e0, e1) = v1 & $i(v1))))
% 227.34/41.89 |
% 227.34/41.89 | ALPHA: (ax22) implies:
% 227.34/41.90 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e1) = v2 & op(e1, e3) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e3) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax23) implies:
% 227.34/41.90 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e3) | ( ~ (v2 = e2) & op(v1, e0) = v2 & op(e0, e3) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e3) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax24) implies:
% 227.34/41.90 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e0) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e2, e0) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax25) implies:
% 227.34/41.90 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e0) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e0) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e1, e0) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax26) implies:
% 227.34/41.90 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e2, e2) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e2) = v2 & op(e2, e1) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e2, e1) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax27) implies:
% 227.34/41.90 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e1) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e1) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e2) & op(e0, e1) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax28) implies:
% 227.34/41.90 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e1, e1) = v0 & $i(v0) &
% 227.34/41.90 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e1) = v2 & op(e1, e2) = v1 &
% 227.34/41.90 | $i(v2) & $i(v1)) | ( ~ (v1 = e0) & op(e1, e2) = v1 & $i(v1))))
% 227.34/41.90 |
% 227.34/41.90 | ALPHA: (ax29) implies:
% 227.34/41.91 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (op(e0, e0) = v0 & $i(v0) &
% 227.34/41.91 | ( ~ (v0 = e2) | ( ~ (v2 = e3) & op(v1, e0) = v2 & op(e0, e2) = v1 &
% 227.34/41.91 | $i(v2) & $i(v1)) | ( ~ (v1 = e1) & op(e0, e2) = v1 & $i(v1))))
% 227.34/41.91 |
% 227.34/41.91 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 227.34/41.91 | (35) op(e0, e0) = all_4_2 & $i(all_4_2) & ( ~ (all_4_2 = e2) | ( ~ (all_4_0
% 227.34/41.91 | = e1) & op(all_4_1, e0) = all_4_0 & op(e0, e2) = all_4_1 &
% 227.34/41.91 | $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e3) & op(e0, e2) =
% 227.34/41.91 | all_4_1 & $i(all_4_1)))
% 227.34/41.91 |
% 227.34/41.91 | ALPHA: (35) implies:
% 227.34/41.91 | (36) op(e0, e0) = all_4_2
% 227.34/41.91 | (37) ~ (all_4_2 = e2) | ( ~ (all_4_0 = e1) & op(all_4_1, e0) = all_4_0 &
% 227.34/41.91 | op(e0, e2) = all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 =
% 227.34/41.91 | e3) & op(e0, e2) = all_4_1 & $i(all_4_1))
% 227.34/41.91 |
% 227.34/41.91 | DELTA: instantiating (27) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 227.34/41.91 | (38) op(e1, e1) = all_6_2 & $i(all_6_2) & ( ~ (all_6_2 = e3) | ( ~ (all_6_0
% 227.34/41.91 | = e2) & op(all_6_1, e1) = all_6_0 & op(e1, e3) = all_6_1 &
% 227.34/41.91 | $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e0) & op(e1, e3) =
% 227.34/41.91 | all_6_1 & $i(all_6_1)))
% 227.34/41.91 |
% 227.34/41.91 | ALPHA: (38) implies:
% 227.34/41.91 | (39) op(e1, e1) = all_6_2
% 227.34/41.91 | (40) ~ (all_6_2 = e3) | ( ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 227.34/41.91 | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 =
% 227.34/41.91 | e0) & op(e1, e3) = all_6_1 & $i(all_6_1))
% 227.34/41.91 |
% 227.34/41.91 | DELTA: instantiating (21) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 227.34/41.91 | (41) op(e2, e2) = all_8_2 & $i(all_8_2) & ( ~ (all_8_2 = e3) | ( ~ (all_8_0
% 227.34/41.91 | = e1) & op(all_8_1, e2) = all_8_0 & op(e2, e3) = all_8_1 &
% 227.34/41.91 | $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e0) & op(e2, e3) =
% 227.34/41.91 | all_8_1 & $i(all_8_1)))
% 227.34/41.91 |
% 227.34/41.91 | ALPHA: (41) implies:
% 227.34/41.91 | (42) op(e2, e2) = all_8_2
% 227.34/41.91 | (43) ~ (all_8_2 = e3) | ( ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 227.34/41.91 | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 =
% 227.34/41.91 | e0) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 227.34/41.91 |
% 227.34/41.91 | DELTA: instantiating (11) with fresh symbols all_10_0, all_10_1, all_10_2
% 227.34/41.91 | gives:
% 227.34/41.91 | (44) op(e3, e3) = all_10_2 & $i(all_10_2) & ( ~ (all_10_2 = e1) | ( ~
% 227.34/41.91 | (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 & op(e3, e1) =
% 227.34/41.91 | all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~ (all_10_1 = e2) &
% 227.34/41.91 | op(e3, e1) = all_10_1 & $i(all_10_1)))
% 227.34/41.91 |
% 227.34/41.91 | ALPHA: (44) implies:
% 227.34/41.91 | (45) op(e3, e3) = all_10_2
% 227.34/41.91 | (46) ~ (all_10_2 = e1) | ( ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0
% 227.34/41.91 | & op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 227.34/41.91 | (all_10_1 = e2) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 227.34/41.91 |
% 227.34/41.91 | DELTA: instantiating (22) with fresh symbols all_12_0, all_12_1, all_12_2
% 227.34/41.91 | gives:
% 227.34/41.92 | (47) op(e0, e0) = all_12_2 & $i(all_12_2) & ( ~ (all_12_2 = e3) | ( ~
% 227.34/41.92 | (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 & op(e0, e3) =
% 227.34/41.92 | all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~ (all_12_1 = e2) &
% 227.34/41.92 | op(e0, e3) = all_12_1 & $i(all_12_1)))
% 227.34/41.92 |
% 227.34/41.92 | ALPHA: (47) implies:
% 227.34/41.92 | (48) op(e0, e0) = all_12_2
% 227.34/41.92 | (49) ~ (all_12_2 = e3) | ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0
% 227.34/41.92 | & op(e0, e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 227.34/41.92 | (all_12_1 = e2) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 227.34/41.92 |
% 227.34/41.92 | DELTA: instantiating (29) with fresh symbols all_14_0, all_14_1, all_14_2
% 227.34/41.92 | gives:
% 227.34/41.92 | (50) op(e2, e2) = all_14_2 & $i(all_14_2) & ( ~ (all_14_2 = e0) | ( ~
% 227.34/41.92 | (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 & op(e2, e0) =
% 227.34/41.92 | all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~ (all_14_1 = e1) &
% 227.34/41.92 | op(e2, e0) = all_14_1 & $i(all_14_1)))
% 227.34/41.92 |
% 227.34/41.92 | ALPHA: (50) implies:
% 227.34/41.92 | (51) op(e2, e2) = all_14_2
% 227.34/41.92 | (52) ~ (all_14_2 = e0) | ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0
% 227.34/41.92 | & op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) | ( ~
% 227.34/41.92 | (all_14_1 = e1) & op(e2, e0) = all_14_1 & $i(all_14_1))
% 227.34/41.92 |
% 227.34/41.92 | DELTA: instantiating (23) with fresh symbols all_16_0, all_16_1, all_16_2
% 227.34/41.92 | gives:
% 227.34/41.92 | (53) op(e3, e3) = all_16_2 & $i(all_16_2) & ( ~ (all_16_2 = e0) | ( ~
% 227.34/41.92 | (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 & op(e3, e0) =
% 227.34/41.92 | all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~ (all_16_1 = e1) &
% 227.34/41.92 | op(e3, e0) = all_16_1 & $i(all_16_1)))
% 227.34/41.92 |
% 227.34/41.92 | ALPHA: (53) implies:
% 227.34/41.92 | (54) op(e3, e3) = all_16_2
% 227.34/41.92 | (55) ~ (all_16_2 = e0) | ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 227.34/41.92 | & op(e3, e0) = all_16_1 & $i(all_16_0) & $i(all_16_1)) | ( ~
% 227.34/41.92 | (all_16_1 = e1) & op(e3, e0) = all_16_1 & $i(all_16_1))
% 227.34/41.92 |
% 227.34/41.92 | DELTA: instantiating (24) with fresh symbols all_18_0, all_18_1, all_18_2
% 227.34/41.92 | gives:
% 227.34/41.92 | (56) op(e1, e1) = all_18_2 & $i(all_18_2) & ( ~ (all_18_2 = e0) | ( ~
% 227.34/41.92 | (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 & op(e1, e0) =
% 227.34/41.92 | all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~ (all_18_1 = e3) &
% 227.34/41.92 | op(e1, e0) = all_18_1 & $i(all_18_1)))
% 227.34/41.92 |
% 227.34/41.92 | ALPHA: (56) implies:
% 227.34/41.92 | (57) op(e1, e1) = all_18_2
% 227.34/41.92 | (58) ~ (all_18_2 = e0) | ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0
% 227.34/41.92 | & op(e1, e0) = all_18_1 & $i(all_18_0) & $i(all_18_1)) | ( ~
% 227.34/41.92 | (all_18_1 = e3) & op(e1, e0) = all_18_1 & $i(all_18_1))
% 227.34/41.92 |
% 227.34/41.92 | DELTA: instantiating (26) with fresh symbols all_20_0, all_20_1, all_20_2
% 227.34/41.92 | gives:
% 227.34/41.92 | (59) op(e0, e0) = all_20_2 & $i(all_20_2) & ( ~ (all_20_2 = e1) | ( ~
% 227.34/41.92 | (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 & op(e0, e1) =
% 227.34/41.92 | all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~ (all_20_1 = e3) &
% 227.34/41.92 | op(e0, e1) = all_20_1 & $i(all_20_1)))
% 227.34/41.92 |
% 227.34/41.92 | ALPHA: (59) implies:
% 227.34/41.92 | (60) op(e0, e0) = all_20_2
% 227.34/41.92 | (61) ~ (all_20_2 = e1) | ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 227.34/41.92 | & op(e0, e1) = all_20_1 & $i(all_20_0) & $i(all_20_1)) | ( ~
% 227.34/41.92 | (all_20_1 = e3) & op(e0, e1) = all_20_1 & $i(all_20_1))
% 227.34/41.92 |
% 227.34/41.92 | DELTA: instantiating (31) with fresh symbols all_22_0, all_22_1, all_22_2
% 227.34/41.92 | gives:
% 227.34/41.93 | (62) op(e2, e2) = all_22_2 & $i(all_22_2) & ( ~ (all_22_2 = e1) | ( ~
% 227.34/41.93 | (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 & op(e2, e1) =
% 227.34/41.93 | all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~ (all_22_1 = e0) &
% 227.34/41.93 | op(e2, e1) = all_22_1 & $i(all_22_1)))
% 227.34/41.93 |
% 227.34/41.93 | ALPHA: (62) implies:
% 227.34/41.93 | (63) op(e2, e2) = all_22_2
% 227.34/41.93 | (64) ~ (all_22_2 = e1) | ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 227.34/41.93 | & op(e2, e1) = all_22_1 & $i(all_22_0) & $i(all_22_1)) | ( ~
% 227.34/41.93 | (all_22_1 = e0) & op(e2, e1) = all_22_1 & $i(all_22_1))
% 227.34/41.93 |
% 227.34/41.93 | DELTA: instantiating (13) with fresh symbols all_24_0, all_24_1, all_24_2
% 227.34/41.93 | gives:
% 227.34/41.93 | (65) op(e3, e3) = all_24_2 & $i(all_24_2) & ( ~ (all_24_2 = e2) | ( ~
% 227.34/41.93 | (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 & op(e3, e2) =
% 227.34/41.93 | all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~ (all_24_1 = e1) &
% 227.34/41.93 | op(e3, e2) = all_24_1 & $i(all_24_1)))
% 227.34/41.93 |
% 227.34/41.93 | ALPHA: (65) implies:
% 227.34/41.93 | (66) op(e3, e3) = all_24_2
% 227.34/41.93 | (67) ~ (all_24_2 = e2) | ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 227.34/41.93 | & op(e3, e2) = all_24_1 & $i(all_24_0) & $i(all_24_1)) | ( ~
% 227.34/41.93 | (all_24_1 = e1) & op(e3, e2) = all_24_1 & $i(all_24_1))
% 227.34/41.93 |
% 227.34/41.93 | DELTA: instantiating (28) with fresh symbols all_26_0, all_26_1, all_26_2
% 227.34/41.93 | gives:
% 227.34/41.93 | (68) op(e0, e0) = all_26_2 & $i(all_26_2) & ( ~ (all_26_2 = e3) | ( ~
% 227.34/41.93 | (all_26_0 = e2) & op(all_26_1, e0) = all_26_0 & op(e0, e3) =
% 227.34/41.93 | all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~ (all_26_1 = e1) &
% 227.34/41.93 | op(e0, e3) = all_26_1 & $i(all_26_1)))
% 227.34/41.93 |
% 227.34/41.93 | ALPHA: (68) implies:
% 227.34/41.93 | (69) op(e0, e0) = all_26_2
% 227.34/41.93 | (70) ~ (all_26_2 = e3) | ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 227.34/41.93 | & op(e0, e3) = all_26_1 & $i(all_26_0) & $i(all_26_1)) | ( ~
% 227.34/41.93 | (all_26_1 = e1) & op(e0, e3) = all_26_1 & $i(all_26_1))
% 227.34/41.93 |
% 227.34/41.93 | DELTA: instantiating (30) with fresh symbols all_28_0, all_28_1, all_28_2
% 227.34/41.93 | gives:
% 227.34/41.93 | (71) op(e1, e1) = all_28_2 & $i(all_28_2) & ( ~ (all_28_2 = e0) | ( ~
% 227.34/41.93 | (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 & op(e1, e0) =
% 227.34/41.93 | all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~ (all_28_1 = e2) &
% 227.34/41.93 | op(e1, e0) = all_28_1 & $i(all_28_1)))
% 227.34/41.93 |
% 227.34/41.93 | ALPHA: (71) implies:
% 227.34/41.93 | (72) op(e1, e1) = all_28_2
% 227.34/41.93 | (73) ~ (all_28_2 = e0) | ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 227.34/41.93 | & op(e1, e0) = all_28_1 & $i(all_28_0) & $i(all_28_1)) | ( ~
% 227.34/41.93 | (all_28_1 = e2) & op(e1, e0) = all_28_1 & $i(all_28_1))
% 227.34/41.93 |
% 227.34/41.93 | DELTA: instantiating (12) with fresh symbols all_30_0, all_30_1, all_30_2
% 227.34/41.93 | gives:
% 227.34/41.93 | (74) op(e2, e2) = all_30_2 & $i(all_30_2) & ( ~ (all_30_2 = e1) | ( ~
% 227.34/41.93 | (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 & op(e2, e1) =
% 227.34/41.93 | all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~ (all_30_1 = e3) &
% 227.34/41.93 | op(e2, e1) = all_30_1 & $i(all_30_1)))
% 227.34/41.93 |
% 227.34/41.93 | ALPHA: (74) implies:
% 227.34/41.93 | (75) op(e2, e2) = all_30_2
% 227.34/41.93 | (76) ~ (all_30_2 = e1) | ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 227.34/41.93 | & op(e2, e1) = all_30_1 & $i(all_30_0) & $i(all_30_1)) | ( ~
% 227.34/41.93 | (all_30_1 = e3) & op(e2, e1) = all_30_1 & $i(all_30_1))
% 227.34/41.93 |
% 227.34/41.93 | DELTA: instantiating (19) with fresh symbols all_32_0, all_32_1, all_32_2
% 227.34/41.93 | gives:
% 227.34/41.94 | (77) op(e3, e3) = all_32_2 & $i(all_32_2) & ( ~ (all_32_2 = e2) | ( ~
% 227.34/41.94 | (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 & op(e3, e2) =
% 227.34/41.94 | all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~ (all_32_1 = e0) &
% 227.34/41.94 | op(e3, e2) = all_32_1 & $i(all_32_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (77) implies:
% 227.34/41.94 | (78) op(e3, e3) = all_32_2
% 227.34/41.94 | (79) ~ (all_32_2 = e2) | ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 227.34/41.94 | & op(e3, e2) = all_32_1 & $i(all_32_0) & $i(all_32_1)) | ( ~
% 227.34/41.94 | (all_32_1 = e0) & op(e3, e2) = all_32_1 & $i(all_32_1))
% 227.34/41.94 |
% 227.34/41.94 | DELTA: instantiating (32) with fresh symbols all_34_0, all_34_1, all_34_2
% 227.34/41.94 | gives:
% 227.34/41.94 | (80) op(e0, e0) = all_34_2 & $i(all_34_2) & ( ~ (all_34_2 = e1) | ( ~
% 227.34/41.94 | (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 & op(e0, e1) =
% 227.34/41.94 | all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~ (all_34_1 = e2) &
% 227.34/41.94 | op(e0, e1) = all_34_1 & $i(all_34_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (80) implies:
% 227.34/41.94 | (81) op(e0, e0) = all_34_2
% 227.34/41.94 | (82) ~ (all_34_2 = e1) | ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 227.34/41.94 | & op(e0, e1) = all_34_1 & $i(all_34_0) & $i(all_34_1)) | ( ~
% 227.34/41.94 | (all_34_1 = e2) & op(e0, e1) = all_34_1 & $i(all_34_1))
% 227.34/41.94 |
% 227.34/41.94 | DELTA: instantiating (33) with fresh symbols all_36_0, all_36_1, all_36_2
% 227.34/41.94 | gives:
% 227.34/41.94 | (83) op(e1, e1) = all_36_2 & $i(all_36_2) & ( ~ (all_36_2 = e2) | ( ~
% 227.34/41.94 | (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 & op(e1, e2) =
% 227.34/41.94 | all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~ (all_36_1 = e0) &
% 227.34/41.94 | op(e1, e2) = all_36_1 & $i(all_36_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (83) implies:
% 227.34/41.94 | (84) op(e1, e1) = all_36_2
% 227.34/41.94 | (85) ~ (all_36_2 = e2) | ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 227.34/41.94 | & op(e1, e2) = all_36_1 & $i(all_36_0) & $i(all_36_1)) | ( ~
% 227.34/41.94 | (all_36_1 = e0) & op(e1, e2) = all_36_1 & $i(all_36_1))
% 227.34/41.94 |
% 227.34/41.94 | DELTA: instantiating (25) with fresh symbols all_38_0, all_38_1, all_38_2
% 227.34/41.94 | gives:
% 227.34/41.94 | (86) op(e3, e3) = all_38_2 & $i(all_38_2) & ( ~ (all_38_2 = e1) | ( ~
% 227.34/41.94 | (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 & op(e3, e1) =
% 227.34/41.94 | all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~ (all_38_1 = e0) &
% 227.34/41.94 | op(e3, e1) = all_38_1 & $i(all_38_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (86) implies:
% 227.34/41.94 | (87) op(e3, e3) = all_38_2
% 227.34/41.94 | (88) ~ (all_38_2 = e1) | ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 227.34/41.94 | & op(e3, e1) = all_38_1 & $i(all_38_0) & $i(all_38_1)) | ( ~
% 227.34/41.94 | (all_38_1 = e0) & op(e3, e1) = all_38_1 & $i(all_38_1))
% 227.34/41.94 |
% 227.34/41.94 | DELTA: instantiating (14) with fresh symbols all_40_0, all_40_1, all_40_2
% 227.34/41.94 | gives:
% 227.34/41.94 | (89) op(e1, e1) = all_40_2 & $i(all_40_2) & ( ~ (all_40_2 = e2) | ( ~
% 227.34/41.94 | (all_40_0 = e0) & op(all_40_1, e1) = all_40_0 & op(e1, e2) =
% 227.34/41.94 | all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~ (all_40_1 = e3) &
% 227.34/41.94 | op(e1, e2) = all_40_1 & $i(all_40_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (89) implies:
% 227.34/41.94 | (90) op(e1, e1) = all_40_2
% 227.34/41.94 | (91) ~ (all_40_2 = e2) | ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 227.34/41.94 | & op(e1, e2) = all_40_1 & $i(all_40_0) & $i(all_40_1)) | ( ~
% 227.34/41.94 | (all_40_1 = e3) & op(e1, e2) = all_40_1 & $i(all_40_1))
% 227.34/41.94 |
% 227.34/41.94 | DELTA: instantiating (15) with fresh symbols all_42_0, all_42_1, all_42_2
% 227.34/41.94 | gives:
% 227.34/41.94 | (92) op(e2, e2) = all_42_2 & $i(all_42_2) & ( ~ (all_42_2 = e3) | ( ~
% 227.34/41.94 | (all_42_0 = e0) & op(all_42_1, e2) = all_42_0 & op(e2, e3) =
% 227.34/41.94 | all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~ (all_42_1 = e1) &
% 227.34/41.94 | op(e2, e3) = all_42_1 & $i(all_42_1)))
% 227.34/41.94 |
% 227.34/41.94 | ALPHA: (92) implies:
% 227.34/41.95 | (93) op(e2, e2) = all_42_2
% 227.34/41.95 | (94) ~ (all_42_2 = e3) | ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 227.34/41.95 | & op(e2, e3) = all_42_1 & $i(all_42_0) & $i(all_42_1)) | ( ~
% 227.34/41.95 | (all_42_1 = e1) & op(e2, e3) = all_42_1 & $i(all_42_1))
% 227.34/41.95 |
% 227.34/41.95 | DELTA: instantiating (34) with fresh symbols all_44_0, all_44_1, all_44_2
% 227.34/41.95 | gives:
% 227.34/41.95 | (95) op(e0, e0) = all_44_2 & $i(all_44_2) & ( ~ (all_44_2 = e2) | ( ~
% 227.34/41.95 | (all_44_0 = e3) & op(all_44_1, e0) = all_44_0 & op(e0, e2) =
% 227.34/41.95 | all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~ (all_44_1 = e1) &
% 227.34/41.95 | op(e0, e2) = all_44_1 & $i(all_44_1)))
% 227.34/41.95 |
% 227.34/41.95 | ALPHA: (95) implies:
% 227.34/41.95 | (96) op(e0, e0) = all_44_2
% 227.34/41.95 | (97) ~ (all_44_2 = e2) | ( ~ (all_44_0 = e3) & op(all_44_1, e0) = all_44_0
% 227.34/41.95 | & op(e0, e2) = all_44_1 & $i(all_44_0) & $i(all_44_1)) | ( ~
% 227.34/41.95 | (all_44_1 = e1) & op(e0, e2) = all_44_1 & $i(all_44_1))
% 227.34/41.95 |
% 227.34/41.95 | DELTA: instantiating (16) with fresh symbols all_46_0, all_46_1, all_46_2
% 227.34/41.95 | gives:
% 227.34/41.95 | (98) op(e1, e1) = all_46_2 & $i(all_46_2) & ( ~ (all_46_2 = e3) | ( ~
% 227.34/41.95 | (all_46_0 = e0) & op(all_46_1, e1) = all_46_0 & op(e1, e3) =
% 227.34/41.95 | all_46_1 & $i(all_46_0) & $i(all_46_1)) | ( ~ (all_46_1 = e2) &
% 227.34/41.95 | op(e1, e3) = all_46_1 & $i(all_46_1)))
% 227.34/41.95 |
% 227.34/41.95 | ALPHA: (98) implies:
% 227.34/41.95 | (99) op(e1, e1) = all_46_2
% 227.34/41.95 | (100) ~ (all_46_2 = e3) | ( ~ (all_46_0 = e0) & op(all_46_1, e1) =
% 227.34/41.95 | all_46_0 & op(e1, e3) = all_46_1 & $i(all_46_0) & $i(all_46_1)) | (
% 227.34/41.95 | ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 & $i(all_46_1))
% 227.34/41.95 |
% 227.34/41.95 | DELTA: instantiating (18) with fresh symbols all_48_0, all_48_1, all_48_2
% 227.34/41.95 | gives:
% 227.34/41.95 | (101) op(e2, e2) = all_48_2 & $i(all_48_2) & ( ~ (all_48_2 = e0) | ( ~
% 227.34/41.95 | (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 & op(e2, e0) =
% 227.34/41.95 | all_48_1 & $i(all_48_0) & $i(all_48_1)) | ( ~ (all_48_1 = e3) &
% 227.34/41.95 | op(e2, e0) = all_48_1 & $i(all_48_1)))
% 227.34/41.95 |
% 227.34/41.95 | ALPHA: (101) implies:
% 227.34/41.95 | (102) op(e2, e2) = all_48_2
% 227.34/41.95 | (103) ~ (all_48_2 = e0) | ( ~ (all_48_0 = e1) & op(all_48_1, e2) =
% 227.34/41.95 | all_48_0 & op(e2, e0) = all_48_1 & $i(all_48_0) & $i(all_48_1)) | (
% 227.34/41.95 | ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 & $i(all_48_1))
% 227.34/41.95 |
% 227.34/41.95 | DELTA: instantiating (17) with fresh symbols all_50_0, all_50_1, all_50_2
% 227.34/41.95 | gives:
% 227.34/41.95 | (104) op(e3, e3) = all_50_2 & $i(all_50_2) & ( ~ (all_50_2 = e0) | ( ~
% 227.34/41.95 | (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 & op(e3, e0) =
% 227.34/41.95 | all_50_1 & $i(all_50_0) & $i(all_50_1)) | ( ~ (all_50_1 = e2) &
% 227.34/41.95 | op(e3, e0) = all_50_1 & $i(all_50_1)))
% 227.34/41.95 |
% 227.34/41.95 | ALPHA: (104) implies:
% 227.34/41.95 | (105) op(e3, e3) = all_50_2
% 227.34/41.95 | (106) ~ (all_50_2 = e0) | ( ~ (all_50_0 = e1) & op(all_50_1, e3) =
% 227.34/41.95 | all_50_0 & op(e3, e0) = all_50_1 & $i(all_50_0) & $i(all_50_1)) | (
% 227.34/41.95 | ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 & $i(all_50_1))
% 227.34/41.95 |
% 227.34/41.95 | DELTA: instantiating (3) with fresh symbols all_52_0, all_52_1, all_52_2,
% 227.34/41.95 | all_52_3, all_52_4, all_52_5, all_52_6, all_52_7, all_52_8, all_52_9,
% 227.34/41.95 | all_52_10, all_52_11, all_52_12, all_52_13, all_52_14, all_52_15 gives:
% 227.34/41.96 | (107) ~ (all_52_0 = all_52_1) & ~ (all_52_0 = all_52_2) & ~ (all_52_0 =
% 227.34/41.96 | all_52_3) & ~ (all_52_0 = all_52_4) & ~ (all_52_0 = all_52_8) &
% 227.34/41.96 | ~ (all_52_0 = all_52_12) & ~ (all_52_1 = all_52_2) & ~ (all_52_1 =
% 227.34/41.96 | all_52_3) & ~ (all_52_1 = all_52_5) & ~ (all_52_1 = all_52_9) &
% 227.34/41.96 | ~ (all_52_1 = all_52_13) & ~ (all_52_2 = all_52_3) & ~ (all_52_2 =
% 227.34/41.96 | all_52_6) & ~ (all_52_2 = all_52_10) & ~ (all_52_2 = all_52_14) &
% 227.34/41.96 | ~ (all_52_3 = all_52_7) & ~ (all_52_3 = all_52_11) & ~ (all_52_3 =
% 227.34/41.96 | all_52_15) & ~ (all_52_4 = all_52_5) & ~ (all_52_4 = all_52_6) &
% 227.34/41.96 | ~ (all_52_4 = all_52_7) & ~ (all_52_4 = all_52_8) & ~ (all_52_4 =
% 227.34/41.96 | all_52_12) & ~ (all_52_5 = all_52_6) & ~ (all_52_5 = all_52_7) &
% 227.34/41.96 | ~ (all_52_5 = all_52_9) & ~ (all_52_5 = all_52_13) & ~ (all_52_6 =
% 227.34/41.96 | all_52_7) & ~ (all_52_6 = all_52_10) & ~ (all_52_6 = all_52_14) &
% 227.34/41.96 | ~ (all_52_7 = all_52_11) & ~ (all_52_7 = all_52_15) & ~ (all_52_8
% 227.34/41.96 | = all_52_9) & ~ (all_52_8 = all_52_10) & ~ (all_52_8 = all_52_11)
% 227.34/41.96 | & ~ (all_52_8 = all_52_12) & ~ (all_52_9 = all_52_10) & ~
% 227.34/41.96 | (all_52_9 = all_52_11) & ~ (all_52_9 = all_52_13) & ~ (all_52_10 =
% 227.34/41.96 | all_52_11) & ~ (all_52_10 = all_52_14) & ~ (all_52_11 =
% 227.34/41.96 | all_52_15) & ~ (all_52_12 = all_52_13) & ~ (all_52_12 =
% 227.34/41.96 | all_52_14) & ~ (all_52_12 = all_52_15) & ~ (all_52_13 =
% 227.34/41.96 | all_52_14) & ~ (all_52_13 = all_52_15) & ~ (all_52_14 =
% 227.34/41.96 | all_52_15) & op(e3, e3) = all_52_0 & op(e3, e2) = all_52_4 & op(e3,
% 227.34/41.96 | e1) = all_52_8 & op(e3, e0) = all_52_12 & op(e2, e3) = all_52_1 &
% 227.34/41.96 | op(e2, e2) = all_52_5 & op(e2, e1) = all_52_9 & op(e2, e0) =
% 227.34/41.96 | all_52_13 & op(e1, e3) = all_52_2 & op(e1, e2) = all_52_6 & op(e1,
% 227.34/41.96 | e1) = all_52_10 & op(e1, e0) = all_52_14 & op(e0, e3) = all_52_3 &
% 227.34/41.96 | op(e0, e2) = all_52_7 & op(e0, e1) = all_52_11 & op(e0, e0) =
% 227.34/41.96 | all_52_15 & $i(all_52_0) & $i(all_52_1) & $i(all_52_2) & $i(all_52_3)
% 227.34/41.96 | & $i(all_52_4) & $i(all_52_5) & $i(all_52_6) & $i(all_52_7) &
% 227.34/41.96 | $i(all_52_8) & $i(all_52_9) & $i(all_52_10) & $i(all_52_11) &
% 227.34/41.96 | $i(all_52_12) & $i(all_52_13) & $i(all_52_14) & $i(all_52_15)
% 227.34/41.96 |
% 227.34/41.96 | ALPHA: (107) implies:
% 227.34/41.96 | (108) ~ (all_52_14 = all_52_15)
% 227.34/41.96 | (109) ~ (all_52_13 = all_52_15)
% 227.34/41.96 | (110) ~ (all_52_13 = all_52_14)
% 227.34/41.96 | (111) ~ (all_52_12 = all_52_15)
% 227.34/41.96 | (112) ~ (all_52_12 = all_52_14)
% 227.34/41.96 | (113) ~ (all_52_12 = all_52_13)
% 227.34/41.96 | (114) ~ (all_52_11 = all_52_15)
% 227.34/41.96 | (115) ~ (all_52_10 = all_52_14)
% 227.34/41.96 | (116) ~ (all_52_10 = all_52_11)
% 227.34/41.96 | (117) ~ (all_52_9 = all_52_13)
% 227.34/41.96 | (118) ~ (all_52_9 = all_52_11)
% 227.34/41.96 | (119) ~ (all_52_9 = all_52_10)
% 227.34/41.96 | (120) ~ (all_52_8 = all_52_12)
% 227.34/41.96 | (121) ~ (all_52_8 = all_52_11)
% 227.34/41.96 | (122) ~ (all_52_8 = all_52_10)
% 227.34/41.96 | (123) ~ (all_52_8 = all_52_9)
% 227.34/41.96 | (124) ~ (all_52_7 = all_52_15)
% 227.34/41.96 | (125) ~ (all_52_7 = all_52_11)
% 227.34/41.96 | (126) ~ (all_52_6 = all_52_14)
% 227.34/41.96 | (127) ~ (all_52_6 = all_52_10)
% 227.34/41.96 | (128) ~ (all_52_6 = all_52_7)
% 227.34/41.96 | (129) ~ (all_52_5 = all_52_13)
% 227.34/41.96 | (130) ~ (all_52_5 = all_52_9)
% 227.34/41.96 | (131) ~ (all_52_5 = all_52_7)
% 227.34/41.96 | (132) ~ (all_52_5 = all_52_6)
% 227.34/41.96 | (133) ~ (all_52_4 = all_52_12)
% 227.34/41.96 | (134) ~ (all_52_4 = all_52_8)
% 227.34/41.96 | (135) ~ (all_52_4 = all_52_7)
% 227.34/41.96 | (136) ~ (all_52_4 = all_52_6)
% 227.34/41.96 | (137) ~ (all_52_4 = all_52_5)
% 227.34/41.96 | (138) ~ (all_52_3 = all_52_15)
% 227.34/41.96 | (139) ~ (all_52_3 = all_52_11)
% 227.34/41.96 | (140) ~ (all_52_3 = all_52_7)
% 227.34/41.96 | (141) ~ (all_52_2 = all_52_14)
% 227.34/41.96 | (142) ~ (all_52_2 = all_52_10)
% 227.34/41.96 | (143) ~ (all_52_2 = all_52_6)
% 227.34/41.96 | (144) ~ (all_52_2 = all_52_3)
% 227.34/41.96 | (145) ~ (all_52_1 = all_52_13)
% 227.34/41.96 | (146) ~ (all_52_1 = all_52_9)
% 227.34/41.96 | (147) ~ (all_52_1 = all_52_5)
% 227.34/41.96 | (148) ~ (all_52_1 = all_52_3)
% 227.34/41.96 | (149) ~ (all_52_1 = all_52_2)
% 227.34/41.96 | (150) ~ (all_52_0 = all_52_12)
% 227.34/41.96 | (151) ~ (all_52_0 = all_52_8)
% 227.34/41.96 | (152) ~ (all_52_0 = all_52_4)
% 227.34/41.97 | (153) ~ (all_52_0 = all_52_3)
% 227.34/41.97 | (154) ~ (all_52_0 = all_52_2)
% 227.34/41.97 | (155) ~ (all_52_0 = all_52_1)
% 227.34/41.97 | (156) op(e0, e0) = all_52_15
% 227.34/41.97 | (157) op(e0, e1) = all_52_11
% 227.34/41.97 | (158) op(e0, e2) = all_52_7
% 227.34/41.97 | (159) op(e0, e3) = all_52_3
% 227.34/41.97 | (160) op(e1, e0) = all_52_14
% 227.34/41.97 | (161) op(e1, e1) = all_52_10
% 227.34/41.97 | (162) op(e1, e2) = all_52_6
% 227.34/41.97 | (163) op(e1, e3) = all_52_2
% 227.34/41.97 | (164) op(e2, e0) = all_52_13
% 227.34/41.97 | (165) op(e2, e1) = all_52_9
% 227.34/41.97 | (166) op(e2, e2) = all_52_5
% 227.34/41.97 | (167) op(e2, e3) = all_52_1
% 227.34/41.97 | (168) op(e3, e0) = all_52_12
% 227.34/41.97 | (169) op(e3, e1) = all_52_8
% 227.34/41.97 | (170) op(e3, e2) = all_52_4
% 227.34/41.97 | (171) op(e3, e3) = all_52_0
% 227.34/41.97 |
% 227.34/41.97 | DELTA: instantiating (1) with fresh symbols all_54_0, all_54_1, all_54_2,
% 227.34/41.97 | all_54_3, all_54_4, all_54_5, all_54_6, all_54_7, all_54_8, all_54_9,
% 227.34/41.97 | all_54_10, all_54_11, all_54_12, all_54_13, all_54_14, all_54_15 gives:
% 227.34/41.97 | (172) op(e3, e3) = all_54_0 & op(e3, e2) = all_54_1 & op(e3, e1) = all_54_2
% 227.34/41.97 | & op(e3, e0) = all_54_3 & op(e2, e3) = all_54_4 & op(e2, e2) =
% 227.34/41.97 | all_54_5 & op(e2, e1) = all_54_6 & op(e2, e0) = all_54_7 & op(e1, e3)
% 227.34/41.97 | = all_54_8 & op(e1, e2) = all_54_9 & op(e1, e1) = all_54_10 & op(e1,
% 227.34/41.97 | e0) = all_54_11 & op(e0, e3) = all_54_12 & op(e0, e2) = all_54_13 &
% 227.34/41.97 | op(e0, e1) = all_54_14 & op(e0, e0) = all_54_15 & $i(all_54_0) &
% 227.34/41.97 | $i(all_54_1) & $i(all_54_2) & $i(all_54_3) & $i(all_54_4) &
% 227.34/41.97 | $i(all_54_5) & $i(all_54_6) & $i(all_54_7) & $i(all_54_8) &
% 227.34/41.97 | $i(all_54_9) & $i(all_54_10) & $i(all_54_11) & $i(all_54_12) &
% 227.34/41.97 | $i(all_54_13) & $i(all_54_14) & $i(all_54_15) & (all_54_0 = e3 |
% 227.34/41.97 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0) & (all_54_1 = e3 |
% 227.34/41.97 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0) & (all_54_2 = e3 |
% 227.34/41.97 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0) & (all_54_3 = e3 |
% 227.34/41.97 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0) & (all_54_4 = e3 |
% 227.34/41.97 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0) & (all_54_5 = e3 |
% 227.34/41.97 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0) & (all_54_6 = e3 |
% 227.34/41.97 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0) & (all_54_7 = e3 |
% 227.34/41.97 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0) & (all_54_8 = e3 |
% 227.34/41.97 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0) & (all_54_9 = e3 |
% 227.34/41.97 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0) & (all_54_10 = e3 |
% 227.34/41.97 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0) & (all_54_11 = e3
% 227.34/41.97 | | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0) & (all_54_12 =
% 227.34/41.97 | e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0) & (all_54_13
% 227.34/41.97 | = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0) &
% 227.34/41.97 | (all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0) &
% 227.34/41.97 | (all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0)
% 227.34/41.97 |
% 227.34/41.97 | ALPHA: (172) implies:
% 227.34/41.97 | (173) op(e0, e0) = all_54_15
% 227.34/41.97 | (174) op(e0, e1) = all_54_14
% 227.34/41.97 | (175) op(e0, e2) = all_54_13
% 227.34/41.98 | (176) op(e0, e3) = all_54_12
% 227.34/41.98 | (177) op(e1, e0) = all_54_11
% 227.34/41.98 | (178) op(e1, e1) = all_54_10
% 227.34/41.98 | (179) op(e1, e2) = all_54_9
% 227.34/41.98 | (180) op(e1, e3) = all_54_8
% 227.34/41.98 | (181) op(e2, e0) = all_54_7
% 227.34/41.98 | (182) op(e2, e1) = all_54_6
% 227.34/41.98 | (183) op(e2, e2) = all_54_5
% 227.34/41.98 | (184) op(e2, e3) = all_54_4
% 227.34/41.98 | (185) op(e3, e0) = all_54_3
% 227.34/41.98 | (186) op(e3, e1) = all_54_2
% 227.34/41.98 | (187) op(e3, e2) = all_54_1
% 227.34/41.98 | (188) op(e3, e3) = all_54_0
% 227.34/41.98 | (189) all_54_15 = e3 | all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 227.34/41.98 | (190) all_54_14 = e3 | all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 227.34/41.98 | (191) all_54_13 = e3 | all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 227.34/41.98 | (192) all_54_12 = e3 | all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 227.34/41.98 | (193) all_54_11 = e3 | all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 227.34/41.98 | (194) all_54_10 = e3 | all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 227.34/41.98 | (195) all_54_9 = e3 | all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 227.34/41.98 | (196) all_54_8 = e3 | all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 227.34/41.98 | (197) all_54_7 = e3 | all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 227.34/41.98 | (198) all_54_6 = e3 | all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 227.34/41.98 | (199) all_54_5 = e3 | all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 227.34/41.98 | (200) all_54_4 = e3 | all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 227.34/41.98 | (201) all_54_3 = e3 | all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 227.34/41.98 | (202) all_54_2 = e3 | all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 227.34/41.98 | (203) all_54_1 = e3 | all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 227.34/41.98 | (204) all_54_0 = e3 | all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 227.34/41.98 |
% 227.34/41.98 | DELTA: instantiating (10) with fresh symbols all_56_0, all_56_1, all_56_2,
% 227.34/41.98 | all_56_3, all_56_4, all_56_5, all_56_6, all_56_7, all_56_8, all_56_9,
% 227.34/41.98 | all_56_10, all_56_11, all_56_12, all_56_13, all_56_14, all_56_15,
% 227.34/41.98 | all_56_16, all_56_17, all_56_18, all_56_19, all_56_20, all_56_21,
% 227.34/41.98 | all_56_22, all_56_23, all_56_24, all_56_25, all_56_26, all_56_27,
% 227.34/41.98 | all_56_28, all_56_29, all_56_30, all_56_31 gives:
% 227.34/41.99 | (205) op(e3, e3) = all_56_1 & op(e2, e2) = all_56_11 & op(e1, e1) =
% 227.34/41.99 | all_56_21 & op(e0, e0) = all_56_31 & $i(all_56_1) & $i(all_56_11) &
% 227.34/41.99 | $i(all_56_21) & $i(all_56_31) & ((all_56_0 = e3 & op(e3, all_56_1) =
% 227.34/41.99 | e3) | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3) =
% 227.34/41.99 | all_56_3 & $i(all_56_3)) | (all_56_4 = e1 & op(e1, all_56_5) = e1
% 227.34/41.99 | & op(e1, e3) = all_56_5 & $i(all_56_5)) | (all_56_6 = e0 & op(e0,
% 227.34/41.99 | all_56_7) = e0 & op(e0, e3) = all_56_7 & $i(all_56_7))) &
% 227.34/41.99 | ((all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2) & ~ (all_56_11
% 227.34/41.99 | = e2) & ~ (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e3, e2)
% 227.34/41.99 | = e3 & op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 = e2 & ~
% 227.34/41.99 | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 227.34/41.99 | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5
% 227.34/41.99 | = e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1)
% 227.34/41.99 | & ~ (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e3, e1) = e3 &
% 227.34/41.99 | op(e1, e3) = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1
% 227.34/41.99 | = e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 227.34/41.99 | (all_56_31 = e3) & op(e3, e1) = e1 & op(e1, e3) = e1) | (all_56_7
% 227.34/41.99 | = e3 & all_56_25 = e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0)
% 227.34/41.99 | & ~ (all_56_21 = e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 227.34/41.99 | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1
% 227.34/41.99 | = e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 227.34/41.99 | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3) = e0) |
% 227.34/41.99 | (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 = e1) & ~
% 227.34/41.99 | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 227.34/41.99 | op(e2, e1) = e2 & op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19
% 227.34/41.99 | = e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 227.34/41.99 | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1, e2) = e1)
% 227.34/41.99 | | (all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 227.34/41.99 | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 227.34/41.99 | op(e2, e0) = e2 & op(e0, e2) = e2) | (all_56_15 = e0 & all_56_27
% 227.34/41.99 | = e0 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 227.34/41.99 | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0, e2) = e0)
% 227.34/41.99 | | (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 227.34/41.99 | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 227.34/41.99 | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29
% 227.34/41.99 | = e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 227.34/41.99 | e1) & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1) = e0))
% 227.34/41.99 | & ((all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2) = all_56_9 &
% 227.34/41.99 | $i(all_56_9)) | (all_56_10 = e2 & op(e2, all_56_11) = e2) |
% 227.34/41.99 | (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1, e2) = all_56_13 &
% 227.34/41.99 | $i(all_56_13)) | (all_56_14 = e0 & op(e0, all_56_15) = e0 &
% 227.34/41.99 | op(e0, e2) = all_56_15 & $i(all_56_15))) & ((all_56_16 = e3 &
% 227.34/41.99 | op(e3, all_56_17) = e3 & op(e3, e1) = all_56_17 & $i(all_56_17))
% 227.34/41.99 | | (all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2, e1) = all_56_19
% 227.34/41.99 | & $i(all_56_19)) | (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 227.34/41.99 | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0, e1) = all_56_23 &
% 227.34/41.99 | $i(all_56_23))) & ((all_56_24 = e3 & op(e3, all_56_25) = e3 &
% 227.34/41.99 | op(e3, e0) = all_56_25 & $i(all_56_25)) | (all_56_26 = e2 &
% 227.34/41.99 | op(e2, all_56_27) = e2 & op(e2, e0) = all_56_27 & $i(all_56_27))
% 227.34/41.99 | | (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1, e0) = all_56_29
% 227.34/41.99 | & $i(all_56_29)) | (all_56_30 = e0 & op(e0, all_56_31) = e0))
% 227.34/41.99 |
% 227.34/41.99 | ALPHA: (205) implies:
% 227.34/41.99 | (206) op(e0, e0) = all_56_31
% 227.34/41.99 | (207) op(e1, e1) = all_56_21
% 227.34/41.99 | (208) op(e2, e2) = all_56_11
% 227.34/41.99 | (209) op(e3, e3) = all_56_1
% 227.34/41.99 | (210) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3, e0) = all_56_25 &
% 227.34/41.99 | $i(all_56_25)) | (all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 227.34/41.99 | e0) = all_56_27 & $i(all_56_27)) | (all_56_28 = e1 & op(e1,
% 227.34/41.99 | all_56_29) = e1 & op(e1, e0) = all_56_29 & $i(all_56_29)) |
% 227.34/41.99 | (all_56_30 = e0 & op(e0, all_56_31) = e0)
% 227.34/42.00 | (211) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3, e1) = all_56_17 &
% 227.34/42.00 | $i(all_56_17)) | (all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 227.34/42.00 | e1) = all_56_19 & $i(all_56_19)) | (all_56_20 = e1 & op(e1,
% 227.34/42.00 | all_56_21) = e1) | (all_56_22 = e0 & op(e0, all_56_23) = e0 &
% 227.34/42.00 | op(e0, e1) = all_56_23 & $i(all_56_23))
% 227.34/42.00 | (212) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2) = all_56_9 &
% 227.34/42.00 | $i(all_56_9)) | (all_56_10 = e2 & op(e2, all_56_11) = e2) |
% 227.34/42.00 | (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1, e2) = all_56_13 &
% 227.34/42.00 | $i(all_56_13)) | (all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 227.34/42.00 | e2) = all_56_15 & $i(all_56_15))
% 227.34/42.00 | (213) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2) & ~ (all_56_11 =
% 227.34/42.00 | e2) & ~ (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3
% 227.34/42.00 | & op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1
% 227.34/42.00 | = e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~ (all_56_31
% 227.34/42.00 | = e3) & op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 = e3 &
% 227.34/42.00 | all_56_17 = e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 227.34/42.00 | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 227.34/42.00 | e3) = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 = e3)
% 227.34/42.00 | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 227.34/42.00 | op(e3, e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 227.34/42.00 | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 227.34/42.00 | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3) = e3) |
% 227.34/42.00 | (all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~ (all_56_11
% 227.34/42.00 | = e3) & ~ (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3, e0) =
% 227.34/42.00 | e0 & op(e0, e3) = e0) | (all_56_13 = e2 & all_56_19 = e2 & ~
% 227.34/42.00 | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 227.34/42.00 | (all_56_31 = e1) & op(e2, e1) = e2 & op(e1, e2) = e2) | (all_56_13
% 227.34/42.00 | = e1 & all_56_19 = e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 227.34/42.00 | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 227.34/42.00 | e2) = e1) | (all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 = e0)
% 227.34/42.00 | & ~ (all_56_11 = e0) & ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 227.34/42.00 | op(e2, e0) = e2 & op(e0, e2) = e2) | (all_56_15 = e0 & all_56_27 =
% 227.34/42.00 | e0 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 227.34/42.00 | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0, e2) = e0) |
% 227.34/42.00 | (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 = e0) & ~ (all_56_11
% 227.34/42.00 | = e0) & ~ (all_56_21 = e0) & ~ (all_56_31 = e0) & op(e1, e0) =
% 227.34/42.00 | e1 & op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 227.34/42.00 | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 227.34/42.00 | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1) = e0)
% 227.34/42.00 | (214) (all_56_0 = e3 & op(e3, all_56_1) = e3) | (all_56_2 = e2 & op(e2,
% 227.34/42.00 | all_56_3) = e2 & op(e2, e3) = all_56_3 & $i(all_56_3)) |
% 227.34/42.00 | (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3) = all_56_5 &
% 227.34/42.00 | $i(all_56_5)) | (all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 227.34/42.00 | = all_56_7 & $i(all_56_7))
% 227.34/42.00 |
% 227.34/42.00 | DELTA: instantiating (2) with fresh symbols all_58_0, all_58_1, all_58_2,
% 227.34/42.00 | all_58_3, all_58_4, all_58_5, all_58_6, all_58_7, all_58_8, all_58_9,
% 227.34/42.00 | all_58_10, all_58_11, all_58_12, all_58_13, all_58_14, all_58_15 gives:
% 227.34/42.02 | (215) ((all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) =
% 227.34/42.02 | e3) | (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3,
% 227.34/42.02 | e0) = e3)) & ((all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 =
% 227.34/42.02 | e3 & op(e2, e3) = e3) | (all_58_6 = e3 & op(e1, e3) = e3) |
% 227.34/42.02 | (all_58_12 = e3 & op(e0, e3) = e3)) & ((all_58_0 = e2 & op(e3, e3)
% 227.34/42.02 | = e2) | (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_4 = e2 &
% 227.34/42.02 | op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) = e2)) &
% 227.34/42.02 | ((all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) =
% 227.34/42.02 | e2) | (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 &
% 227.34/42.02 | op(e0, e3) = e2)) & ((all_58_0 = e1 & op(e3, e3) = e1) |
% 227.34/42.02 | (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_4 = e1 & op(e3, e1) =
% 227.34/42.02 | e1) | (all_58_9 = e1 & op(e3, e0) = e1)) & ((all_58_0 = e1 &
% 227.34/42.02 | op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_6
% 227.34/42.02 | = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) = e1)) &
% 227.34/42.02 | ((all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) =
% 227.34/42.02 | e0) | (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3,
% 227.34/42.02 | e0) = e0)) & ((all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 =
% 227.34/42.02 | e0 & op(e2, e3) = e0) | (all_58_6 = e0 & op(e1, e3) = e0) |
% 227.34/42.02 | (all_58_12 = e0 & op(e0, e3) = e0)) & ((all_58_1 = e3 & op(e3, e2)
% 227.34/42.02 | = e3) | (all_58_3 = e3 & op(e2, e2) = e3) | (all_58_7 = e3 &
% 227.34/42.02 | op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) = e3)) &
% 227.34/42.02 | ((all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) =
% 227.34/42.02 | e2) | (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 &
% 227.34/42.02 | op(e0, e2) = e2)) & ((all_58_1 = e1 & op(e3, e2) = e1) |
% 227.34/42.02 | (all_58_3 = e1 & op(e2, e2) = e1) | (all_58_7 = e1 & op(e1, e2) =
% 227.34/42.02 | e1) | (all_58_13 = e1 & op(e0, e2) = e1)) & ((all_58_1 = e0 &
% 227.34/42.02 | op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0) | (all_58_7
% 227.34/42.02 | = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) = e0)) &
% 227.34/42.02 | ((all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) =
% 227.34/42.02 | e3) | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 &
% 227.34/42.02 | op(e2, e0) = e3)) & ((all_58_2 = e2 & op(e2, e3) = e2) |
% 227.34/42.02 | (all_58_3 = e2 & op(e2, e2) = e2) | (all_58_5 = e2 & op(e2, e1) =
% 227.34/42.02 | e2) | (all_58_10 = e2 & op(e2, e0) = e2)) & ((all_58_2 = e1 &
% 227.34/42.02 | op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1) | (all_58_5
% 227.34/42.02 | = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) = e1)) &
% 227.34/42.02 | ((all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) =
% 227.34/42.02 | e0) | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 &
% 227.34/42.02 | op(e2, e0) = e0)) & ((all_58_4 = e3 & op(e3, e1) = e3) |
% 227.34/42.02 | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_8 = e3 & op(e1, e1) =
% 227.34/42.02 | e3) | (all_58_14 = e3 & op(e0, e1) = e3)) & ((all_58_4 = e2 &
% 227.34/42.02 | op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_8
% 227.34/42.02 | = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) = e2)) &
% 227.34/42.02 | ((all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) =
% 227.34/42.02 | e1) | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 &
% 227.34/42.02 | op(e0, e1) = e1)) & ((all_58_4 = e0 & op(e3, e1) = e0) |
% 227.34/42.02 | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_8 = e0 & op(e1, e1) =
% 227.34/42.02 | e0) | (all_58_14 = e0 & op(e0, e1) = e0)) & ((all_58_6 = e3 &
% 227.34/42.02 | op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_8
% 227.34/42.02 | = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) = e3)) &
% 227.34/42.02 | ((all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) =
% 227.34/42.02 | e2) | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 &
% 227.34/42.02 | op(e1, e0) = e2)) & ((all_58_6 = e1 & op(e1, e3) = e1) |
% 227.34/42.02 | (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_8 = e1 & op(e1, e1) =
% 227.34/42.02 | e1) | (all_58_11 = e1 & op(e1, e0) = e1)) & ((all_58_6 = e0 &
% 227.34/42.02 | op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_8
% 227.34/42.02 | = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) &
% 227.34/42.02 | ((all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 227.34/42.02 | e3) | (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 &
% 227.34/42.02 | op(e0, e0) = e3)) & ((all_58_9 = e2 & op(e3, e0) = e2) |
% 227.34/42.02 | (all_58_10 = e2 & op(e2, e0) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 227.34/42.02 | e2) | (all_58_15 = e2 & op(e0, e0) = e2)) & ((all_58_9 = e1 &
% 227.34/42.02 | op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) = e1) |
% 227.34/42.02 | (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0, e0) =
% 227.34/42.02 | e1)) & ((all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 &
% 227.34/42.02 | op(e0, e2) = e3) | (all_58_14 = e3 & op(e0, e1) = e3) |
% 227.34/42.02 | (all_58_15 = e3 & op(e0, e0) = e3)) & ((all_58_12 = e2 & op(e0, e3)
% 227.34/42.02 | = e2) | (all_58_13 = e2 & op(e0, e2) = e2) | (all_58_14 = e2 &
% 227.34/42.02 | op(e0, e1) = e2) | (all_58_15 = e2 & op(e0, e0) = e2)) &
% 227.34/42.02 | ((all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 227.34/42.02 | e1) | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 &
% 227.34/42.02 | op(e0, e0) = e1)) & ((all_58_15 = e0 & op(e0, e0) = e0) |
% 227.34/42.02 | (((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 = e0 & op(e2, e0)
% 227.34/42.02 | = e0) | (all_58_11 = e0 & op(e1, e0) = e0)) & ((all_58_12 =
% 227.34/42.02 | e0 & op(e0, e3) = e0) | (all_58_13 = e0 & op(e0, e2) = e0) |
% 227.34/42.02 | (all_58_14 = e0 & op(e0, e1) = e0))))
% 227.74/42.02 |
% 227.74/42.02 | ALPHA: (215) implies:
% 227.74/42.02 | (216) (all_58_15 = e0 & op(e0, e0) = e0) | (((all_58_9 = e0 & op(e3, e0) =
% 227.74/42.02 | e0) | (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 227.74/42.02 | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0, e3) = e0) |
% 227.74/42.02 | (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0, e1)
% 227.74/42.02 | = e0)))
% 227.74/42.02 | (217) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 227.74/42.02 | e1) | (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 = e1 & op(e0,
% 227.74/42.02 | e0) = e1)
% 227.74/42.02 | (218) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 227.74/42.02 | e2) | (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 = e2 & op(e0,
% 227.74/42.02 | e0) = e2)
% 227.74/42.02 | (219) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 = e3 & op(e0, e2) =
% 227.74/42.02 | e3) | (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 = e3 & op(e0,
% 227.74/42.02 | e0) = e3)
% 227.74/42.02 | (220) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 = e1 & op(e2, e0) =
% 227.74/42.02 | e1) | (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 = e1 & op(e0,
% 227.74/42.02 | e0) = e1)
% 227.74/42.02 | (221) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 227.74/42.02 | e2) | (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0,
% 227.74/42.02 | e0) = e2)
% 227.74/42.02 | (222) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 227.74/42.02 | e3) | (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 & op(e0,
% 227.74/42.02 | e0) = e3)
% 227.74/42.02 | (223) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0 & op(e1, e2) = e0)
% 227.74/42.02 | | (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 = e0 & op(e1, e0) =
% 227.74/42.02 | e0)
% 227.74/42.03 | (224) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1 & op(e1, e2) = e1)
% 227.74/42.03 | | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 = e1 & op(e1, e0) =
% 227.74/42.03 | e1)
% 227.74/42.03 | (225) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2 & op(e1, e2) = e2)
% 227.74/42.03 | | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 = e2 & op(e1, e0) =
% 227.74/42.03 | e2)
% 227.74/42.03 | (226) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3 & op(e1, e2) = e3)
% 227.74/42.03 | | (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 = e3 & op(e1, e0) =
% 227.74/42.03 | e3)
% 227.74/42.03 | (227) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0 & op(e2, e1) = e0)
% 227.74/42.03 | | (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 = e0 & op(e0, e1) =
% 227.74/42.03 | e0)
% 227.74/42.03 | (228) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1 & op(e2, e1) = e1)
% 227.74/42.03 | | (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 = e1 & op(e0, e1) =
% 227.74/42.03 | e1)
% 227.74/42.03 | (229) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2 & op(e2, e1) = e2)
% 227.74/42.03 | | (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 = e2 & op(e0, e1) =
% 227.74/42.03 | e2)
% 227.74/42.03 | (230) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2, e1) = e3)
% 227.74/42.03 | | (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0, e1) =
% 227.74/42.03 | e3)
% 227.74/42.03 | (231) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 227.74/42.03 | | (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 & op(e2, e0) =
% 227.74/42.03 | e0)
% 227.74/42.03 | (232) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1 & op(e2, e2) = e1)
% 227.74/42.03 | | (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 = e1 & op(e2, e0) =
% 227.74/42.03 | e1)
% 227.74/42.03 | (233) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2 & op(e2, e2) = e2)
% 227.74/42.03 | | (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 = e2 & op(e2, e0) =
% 227.74/42.03 | e2)
% 227.74/42.03 | (234) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2, e2) = e3)
% 227.74/42.03 | | (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 & op(e2, e0) =
% 227.74/42.03 | e3)
% 227.74/42.03 | (235) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 & op(e2, e2) = e0)
% 227.74/42.03 | | (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 227.74/42.03 | e0)
% 227.74/42.03 | (236) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1 & op(e2, e2) = e1)
% 227.74/42.03 | | (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 = e1 & op(e0, e2) =
% 227.74/42.03 | e1)
% 227.74/42.03 | (237) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2 & op(e2, e2) = e2)
% 227.74/42.03 | | (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 = e2 & op(e0, e2) =
% 227.74/42.03 | e2)
% 227.74/42.03 | (238) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3 & op(e2, e2) = e3)
% 227.74/42.03 | | (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 = e3 & op(e0, e2) =
% 227.74/42.03 | e3)
% 227.74/42.04 | (239) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0 & op(e2, e3) = e0)
% 227.74/42.04 | | (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 = e0 & op(e0, e3) =
% 227.74/42.04 | e0)
% 227.74/42.04 | (240) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0 & op(e3, e2) = e0)
% 227.74/42.04 | | (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0 & op(e3, e0) =
% 227.74/42.04 | e0)
% 227.74/42.04 | (241) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1 & op(e2, e3) = e1)
% 227.74/42.04 | | (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 = e1 & op(e0, e3) =
% 227.74/42.04 | e1)
% 227.74/42.04 | (242) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1 & op(e3, e2) = e1)
% 227.74/42.04 | | (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1 & op(e3, e0) =
% 227.74/42.04 | e1)
% 227.74/42.04 | (243) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2 & op(e2, e3) = e2)
% 227.74/42.04 | | (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 = e2 & op(e0, e3) =
% 227.74/42.04 | e2)
% 227.74/42.04 | (244) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2 & op(e3, e2) = e2)
% 227.74/42.04 | | (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2 & op(e3, e0) =
% 227.74/42.04 | e2)
% 227.74/42.04 | (245) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3 & op(e2, e3) = e3)
% 227.74/42.04 | | (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3 & op(e0, e3) =
% 227.74/42.04 | e3)
% 227.74/42.04 | (246) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3 & op(e3, e2) = e3)
% 227.74/42.04 | | (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3 & op(e3, e0) =
% 227.74/42.04 | e3)
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_12_2, all_20_2, e0, e0,
% 227.74/42.04 | simplifying with (48), (60) gives:
% 227.74/42.04 | (247) all_20_2 = all_12_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_26_2, all_34_2, e0, e0,
% 227.74/42.04 | simplifying with (69), (81) gives:
% 227.74/42.04 | (248) all_34_2 = all_26_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_20_2, all_34_2, e0, e0,
% 227.74/42.04 | simplifying with (60), (81) gives:
% 227.74/42.04 | (249) all_34_2 = all_20_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_34_2, all_44_2, e0, e0,
% 227.74/42.04 | simplifying with (81), (96) gives:
% 227.74/42.04 | (250) all_44_2 = all_34_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_44_2, all_52_15, e0, e0,
% 227.74/42.04 | simplifying with (96), (156) gives:
% 227.74/42.04 | (251) all_52_15 = all_44_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_52_15, all_54_15, e0,
% 227.74/42.04 | e0, simplifying with (156), (173) gives:
% 227.74/42.04 | (252) all_54_15 = all_52_15
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_54_15, all_56_31, e0,
% 227.74/42.04 | e0, simplifying with (173), (206) gives:
% 227.74/42.04 | (253) all_56_31 = all_54_15
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_56_31, e0, e0,
% 227.74/42.04 | simplifying with (36), (206) gives:
% 227.74/42.04 | (254) all_56_31 = all_4_2
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_52_11, all_54_14, e1,
% 227.74/42.04 | e0, simplifying with (157), (174) gives:
% 227.74/42.04 | (255) all_54_14 = all_52_11
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_52_7, all_54_13, e2, e0,
% 227.74/42.04 | simplifying with (158), (175) gives:
% 227.74/42.04 | (256) all_54_13 = all_52_7
% 227.74/42.04 |
% 227.74/42.04 | GROUND_INST: instantiating (function-axioms) with all_52_3, all_54_12, e3, e0,
% 227.74/42.04 | simplifying with (159), (176) gives:
% 227.74/42.05 | (257) all_54_12 = all_52_3
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_14, all_54_11, e0,
% 227.74/42.05 | e1, simplifying with (160), (177) gives:
% 227.74/42.05 | (258) all_54_11 = all_52_14
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_18_2, all_28_2, e1, e1,
% 227.74/42.05 | simplifying with (57), (72) gives:
% 227.74/42.05 | (259) all_28_2 = all_18_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_28_2, all_36_2, e1, e1,
% 227.74/42.05 | simplifying with (72), (84) gives:
% 227.74/42.05 | (260) all_36_2 = all_28_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_52_10, e1, e1,
% 227.74/42.05 | simplifying with (99), (161) gives:
% 227.74/42.05 | (261) all_52_10 = all_46_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_40_2, all_52_10, e1, e1,
% 227.74/42.05 | simplifying with (90), (161) gives:
% 227.74/42.05 | (262) all_52_10 = all_40_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_36_2, all_52_10, e1, e1,
% 227.74/42.05 | simplifying with (84), (161) gives:
% 227.74/42.05 | (263) all_52_10 = all_36_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_46_2, all_54_10, e1, e1,
% 227.74/42.05 | simplifying with (99), (178) gives:
% 227.74/42.05 | (264) all_54_10 = all_46_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_54_10, all_56_21, e1,
% 227.74/42.05 | e1, simplifying with (178), (207) gives:
% 227.74/42.05 | (265) all_56_21 = all_54_10
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_56_21, e1, e1,
% 227.74/42.05 | simplifying with (39), (207) gives:
% 227.74/42.05 | (266) all_56_21 = all_6_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_6, all_54_9, e2, e1,
% 227.74/42.05 | simplifying with (162), (179) gives:
% 227.74/42.05 | (267) all_54_9 = all_52_6
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_2, all_54_8, e3, e1,
% 227.74/42.05 | simplifying with (163), (180) gives:
% 227.74/42.05 | (268) all_54_8 = all_52_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_13, all_54_7, e0, e2,
% 227.74/42.05 | simplifying with (164), (181) gives:
% 227.74/42.05 | (269) all_54_7 = all_52_13
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_9, all_54_6, e1, e2,
% 227.74/42.05 | simplifying with (165), (182) gives:
% 227.74/42.05 | (270) all_54_6 = all_52_9
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_30_2, e2, e2,
% 227.74/42.05 | simplifying with (63), (75) gives:
% 227.74/42.05 | (271) all_30_2 = all_22_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_14_2, all_30_2, e2, e2,
% 227.74/42.05 | simplifying with (51), (75) gives:
% 227.74/42.05 | (272) all_30_2 = all_14_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_22_2, all_42_2, e2, e2,
% 227.74/42.05 | simplifying with (63), (93) gives:
% 227.74/42.05 | (273) all_42_2 = all_22_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_54_5, e2, e2,
% 227.74/42.05 | simplifying with (166), (183) gives:
% 227.74/42.05 | (274) all_54_5 = all_52_5
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_54_5, e2, e2,
% 227.74/42.05 | simplifying with (42), (183) gives:
% 227.74/42.05 | (275) all_54_5 = all_8_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_5, all_56_11, e2, e2,
% 227.74/42.05 | simplifying with (166), (208) gives:
% 227.74/42.05 | (276) all_56_11 = all_52_5
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_48_2, all_56_11, e2, e2,
% 227.74/42.05 | simplifying with (102), (208) gives:
% 227.74/42.05 | (277) all_56_11 = all_48_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_42_2, all_56_11, e2, e2,
% 227.74/42.05 | simplifying with (93), (208) gives:
% 227.74/42.05 | (278) all_56_11 = all_42_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_1, all_54_4, e3, e2,
% 227.74/42.05 | simplifying with (167), (184) gives:
% 227.74/42.05 | (279) all_54_4 = all_52_1
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_12, all_54_3, e0, e3,
% 227.74/42.05 | simplifying with (168), (185) gives:
% 227.74/42.05 | (280) all_54_3 = all_52_12
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_8, all_54_2, e1, e3,
% 227.74/42.05 | simplifying with (169), (186) gives:
% 227.74/42.05 | (281) all_54_2 = all_52_8
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_52_4, all_54_1, e2, e3,
% 227.74/42.05 | simplifying with (170), (187) gives:
% 227.74/42.05 | (282) all_54_1 = all_52_4
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_32_2, e3, e3,
% 227.74/42.05 | simplifying with (66), (78) gives:
% 227.74/42.05 | (283) all_32_2 = all_24_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_32_2, all_38_2, e3, e3,
% 227.74/42.05 | simplifying with (78), (87) gives:
% 227.74/42.05 | (284) all_38_2 = all_32_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_38_2, all_50_2, e3, e3,
% 227.74/42.05 | simplifying with (87), (105) gives:
% 227.74/42.05 | (285) all_50_2 = all_38_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_50_2, all_52_0, e3, e3,
% 227.74/42.05 | simplifying with (105), (171) gives:
% 227.74/42.05 | (286) all_52_0 = all_50_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_16_2, all_52_0, e3, e3,
% 227.74/42.05 | simplifying with (54), (171) gives:
% 227.74/42.05 | (287) all_52_0 = all_16_2
% 227.74/42.05 |
% 227.74/42.05 | GROUND_INST: instantiating (function-axioms) with all_24_2, all_54_0, e3, e3,
% 227.74/42.06 | simplifying with (66), (188) gives:
% 227.74/42.06 | (288) all_54_0 = all_24_2
% 227.74/42.06 |
% 227.74/42.06 | GROUND_INST: instantiating (function-axioms) with all_54_0, all_56_1, e3, e3,
% 227.74/42.06 | simplifying with (188), (209) gives:
% 227.74/42.06 | (289) all_56_1 = all_54_0
% 227.74/42.06 |
% 227.74/42.06 | GROUND_INST: instantiating (function-axioms) with all_10_2, all_56_1, e3, e3,
% 227.74/42.06 | simplifying with (45), (209) gives:
% 227.74/42.06 | (290) all_56_1 = all_10_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (289), (290) imply:
% 227.74/42.06 | (291) all_54_0 = all_10_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (291) implies:
% 227.74/42.06 | (292) all_54_0 = all_10_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (276), (277) imply:
% 227.74/42.06 | (293) all_52_5 = all_48_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (293) implies:
% 227.74/42.06 | (294) all_52_5 = all_48_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (277), (278) imply:
% 227.74/42.06 | (295) all_48_2 = all_42_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (265), (266) imply:
% 227.74/42.06 | (296) all_54_10 = all_6_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (296) implies:
% 227.74/42.06 | (297) all_54_10 = all_6_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (253), (254) imply:
% 227.74/42.06 | (298) all_54_15 = all_4_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (298) implies:
% 227.74/42.06 | (299) all_54_15 = all_4_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (288), (292) imply:
% 227.74/42.06 | (300) all_24_2 = all_10_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (300) implies:
% 227.74/42.06 | (301) all_24_2 = all_10_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (274), (275) imply:
% 227.74/42.06 | (302) all_52_5 = all_8_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (302) implies:
% 227.74/42.06 | (303) all_52_5 = all_8_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (264), (297) imply:
% 227.74/42.06 | (304) all_46_2 = all_6_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (304) implies:
% 227.74/42.06 | (305) all_46_2 = all_6_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (252), (299) imply:
% 227.74/42.06 | (306) all_52_15 = all_4_2
% 227.74/42.06 |
% 227.74/42.06 | SIMP: (306) implies:
% 227.74/42.06 | (307) all_52_15 = all_4_2
% 227.74/42.06 |
% 227.74/42.06 | COMBINE_EQS: (286), (287) imply:
% 227.74/42.06 | (308) all_50_2 = all_16_2
% 227.74/42.06 |
% 228.18/42.06 | SIMP: (308) implies:
% 228.18/42.06 | (309) all_50_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (294), (303) imply:
% 228.18/42.06 | (310) all_48_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (310) implies:
% 228.18/42.06 | (311) all_48_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (261), (262) imply:
% 228.18/42.06 | (312) all_46_2 = all_40_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (312) implies:
% 228.18/42.06 | (313) all_46_2 = all_40_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (262), (263) imply:
% 228.18/42.06 | (314) all_40_2 = all_36_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (251), (307) imply:
% 228.18/42.06 | (315) all_44_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (315) implies:
% 228.18/42.06 | (316) all_44_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (285), (309) imply:
% 228.18/42.06 | (317) all_38_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (317) implies:
% 228.18/42.06 | (318) all_38_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (295), (311) imply:
% 228.18/42.06 | (319) all_42_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (319) implies:
% 228.18/42.06 | (320) all_42_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (305), (313) imply:
% 228.18/42.06 | (321) all_40_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (321) implies:
% 228.18/42.06 | (322) all_40_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (250), (316) imply:
% 228.18/42.06 | (323) all_34_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (323) implies:
% 228.18/42.06 | (324) all_34_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (273), (320) imply:
% 228.18/42.06 | (325) all_22_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (325) implies:
% 228.18/42.06 | (326) all_22_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (314), (322) imply:
% 228.18/42.06 | (327) all_36_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (327) implies:
% 228.18/42.06 | (328) all_36_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (284), (318) imply:
% 228.18/42.06 | (329) all_32_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (329) implies:
% 228.18/42.06 | (330) all_32_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (260), (328) imply:
% 228.18/42.06 | (331) all_28_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (331) implies:
% 228.18/42.06 | (332) all_28_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (248), (249) imply:
% 228.18/42.06 | (333) all_26_2 = all_20_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (248), (324) imply:
% 228.18/42.06 | (334) all_26_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (283), (330) imply:
% 228.18/42.06 | (335) all_24_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (335) implies:
% 228.18/42.06 | (336) all_24_2 = all_16_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (271), (272) imply:
% 228.18/42.06 | (337) all_22_2 = all_14_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (337) implies:
% 228.18/42.06 | (338) all_22_2 = all_14_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (259), (332) imply:
% 228.18/42.06 | (339) all_18_2 = all_6_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (333), (334) imply:
% 228.18/42.06 | (340) all_20_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (340) implies:
% 228.18/42.06 | (341) all_20_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (301), (336) imply:
% 228.18/42.06 | (342) all_16_2 = all_10_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (326), (338) imply:
% 228.18/42.06 | (343) all_14_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (343) implies:
% 228.18/42.06 | (344) all_14_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (247), (341) imply:
% 228.18/42.06 | (345) all_12_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | SIMP: (345) implies:
% 228.18/42.06 | (346) all_12_2 = all_4_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (272), (344) imply:
% 228.18/42.06 | (347) all_30_2 = all_8_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (330), (342) imply:
% 228.18/42.06 | (348) all_32_2 = all_10_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (318), (342) imply:
% 228.18/42.06 | (349) all_38_2 = all_10_2
% 228.18/42.06 |
% 228.18/42.06 | COMBINE_EQS: (309), (342) imply:
% 228.18/42.07 | (350) all_50_2 = all_10_2
% 228.18/42.07 |
% 228.18/42.07 | COMBINE_EQS: (262), (322) imply:
% 228.18/42.07 | (351) all_52_10 = all_6_2
% 228.18/42.07 |
% 228.18/42.07 | COMBINE_EQS: (287), (342) imply:
% 228.18/42.07 | (352) all_52_0 = all_10_2
% 228.18/42.07 |
% 228.18/42.07 | COMBINE_EQS: (277), (311) imply:
% 228.18/42.07 | (353) all_56_11 = all_8_2
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (155), (352) imply:
% 228.18/42.07 | (354) ~ (all_52_1 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (354) implies:
% 228.18/42.07 | (355) ~ (all_52_1 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (154), (352) imply:
% 228.18/42.07 | (356) ~ (all_52_2 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (356) implies:
% 228.18/42.07 | (357) ~ (all_52_2 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (153), (352) imply:
% 228.18/42.07 | (358) ~ (all_52_3 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (358) implies:
% 228.18/42.07 | (359) ~ (all_52_3 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (152), (352) imply:
% 228.18/42.07 | (360) ~ (all_52_4 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (360) implies:
% 228.18/42.07 | (361) ~ (all_52_4 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (151), (352) imply:
% 228.18/42.07 | (362) ~ (all_52_8 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (362) implies:
% 228.18/42.07 | (363) ~ (all_52_8 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (150), (352) imply:
% 228.18/42.07 | (364) ~ (all_52_12 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (364) implies:
% 228.18/42.07 | (365) ~ (all_52_12 = all_10_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (147), (303) imply:
% 228.18/42.07 | (366) ~ (all_52_1 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (142), (351) imply:
% 228.18/42.07 | (367) ~ (all_52_2 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (138), (307) imply:
% 228.18/42.07 | (368) ~ (all_52_3 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (137), (303) imply:
% 228.18/42.07 | (369) ~ (all_52_4 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (132), (303) imply:
% 228.18/42.07 | (370) ~ (all_52_6 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (370) implies:
% 228.18/42.07 | (371) ~ (all_52_6 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (131), (303) imply:
% 228.18/42.07 | (372) ~ (all_52_7 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (372) implies:
% 228.18/42.07 | (373) ~ (all_52_7 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (130), (303) imply:
% 228.18/42.07 | (374) ~ (all_52_9 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (374) implies:
% 228.18/42.07 | (375) ~ (all_52_9 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (129), (303) imply:
% 228.18/42.07 | (376) ~ (all_52_13 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (376) implies:
% 228.18/42.07 | (377) ~ (all_52_13 = all_8_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (127), (351) imply:
% 228.18/42.07 | (378) ~ (all_52_6 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (124), (307) imply:
% 228.18/42.07 | (379) ~ (all_52_7 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (122), (351) imply:
% 228.18/42.07 | (380) ~ (all_52_8 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (119), (351) imply:
% 228.18/42.07 | (381) ~ (all_52_9 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (116), (351) imply:
% 228.18/42.07 | (382) ~ (all_52_11 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (382) implies:
% 228.18/42.07 | (383) ~ (all_52_11 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (115), (351) imply:
% 228.18/42.07 | (384) ~ (all_52_14 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | SIMP: (384) implies:
% 228.18/42.07 | (385) ~ (all_52_14 = all_6_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (114), (307) imply:
% 228.18/42.07 | (386) ~ (all_52_11 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (111), (307) imply:
% 228.18/42.07 | (387) ~ (all_52_12 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (109), (307) imply:
% 228.18/42.07 | (388) ~ (all_52_13 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | REDUCE: (108), (307) imply:
% 228.18/42.07 | (389) ~ (all_52_14 = all_4_2)
% 228.18/42.07 |
% 228.18/42.07 | BETA: splitting (37) gives:
% 228.18/42.07 |
% 228.18/42.07 | Case 1:
% 228.18/42.07 | |
% 228.18/42.07 | | (390) ~ (all_4_2 = e2)
% 228.18/42.07 | |
% 228.18/42.07 | | BETA: splitting (40) gives:
% 228.18/42.07 | |
% 228.18/42.07 | | Case 1:
% 228.18/42.07 | | |
% 228.18/42.07 | | | (391) ~ (all_6_2 = e3)
% 228.18/42.07 | | |
% 228.18/42.07 | | | BETA: splitting (43) gives:
% 228.18/42.07 | | |
% 228.18/42.07 | | | Case 1:
% 228.18/42.07 | | | |
% 228.18/42.07 | | | | (392) ~ (all_8_2 = e3)
% 228.18/42.07 | | | |
% 228.18/42.07 | | | | BETA: splitting (46) gives:
% 228.18/42.07 | | | |
% 228.18/42.07 | | | | Case 1:
% 228.18/42.07 | | | | |
% 228.18/42.07 | | | | | (393) ~ (all_10_2 = e1)
% 228.18/42.07 | | | | |
% 228.18/42.07 | | | | | BETA: splitting (49) gives:
% 228.18/42.07 | | | | |
% 228.18/42.07 | | | | | Case 1:
% 228.18/42.07 | | | | | |
% 228.18/42.07 | | | | | | (394) ~ (all_12_2 = e3)
% 228.18/42.07 | | | | | |
% 228.18/42.07 | | | | | | REDUCE: (346), (394) imply:
% 228.18/42.07 | | | | | | (395) ~ (all_4_2 = e3)
% 228.18/42.07 | | | | | |
% 228.18/42.07 | | | | | | BETA: splitting (52) gives:
% 228.18/42.07 | | | | | |
% 228.18/42.07 | | | | | | Case 1:
% 228.18/42.07 | | | | | | |
% 228.18/42.07 | | | | | | | (396) ~ (all_14_2 = e0)
% 228.18/42.07 | | | | | | |
% 228.18/42.07 | | | | | | | REDUCE: (344), (396) imply:
% 228.18/42.07 | | | | | | | (397) ~ (all_8_2 = e0)
% 228.18/42.07 | | | | | | |
% 228.18/42.07 | | | | | | | BETA: splitting (55) gives:
% 228.18/42.07 | | | | | | |
% 228.18/42.07 | | | | | | | Case 1:
% 228.18/42.07 | | | | | | | |
% 228.18/42.07 | | | | | | | | (398) ~ (all_16_2 = e0)
% 228.18/42.07 | | | | | | | |
% 228.18/42.07 | | | | | | | | REDUCE: (342), (398) imply:
% 228.18/42.07 | | | | | | | | (399) ~ (all_10_2 = e0)
% 228.18/42.07 | | | | | | | |
% 228.18/42.07 | | | | | | | | BETA: splitting (58) gives:
% 228.18/42.07 | | | | | | | |
% 228.18/42.07 | | | | | | | | Case 1:
% 228.18/42.07 | | | | | | | | |
% 228.18/42.07 | | | | | | | | | (400) ~ (all_18_2 = e0)
% 228.18/42.07 | | | | | | | | |
% 228.18/42.07 | | | | | | | | | REDUCE: (339), (400) imply:
% 228.18/42.07 | | | | | | | | | (401) ~ (all_6_2 = e0)
% 228.18/42.07 | | | | | | | | |
% 228.18/42.08 | | | | | | | | | BETA: splitting (61) gives:
% 228.18/42.08 | | | | | | | | |
% 228.18/42.08 | | | | | | | | | Case 1:
% 228.18/42.08 | | | | | | | | | |
% 228.18/42.08 | | | | | | | | | | (402) ~ (all_20_2 = e1)
% 228.18/42.08 | | | | | | | | | |
% 228.18/42.08 | | | | | | | | | | REDUCE: (341), (402) imply:
% 228.18/42.08 | | | | | | | | | | (403) ~ (all_4_2 = e1)
% 228.18/42.08 | | | | | | | | | |
% 228.18/42.08 | | | | | | | | | | BETA: splitting (189) gives:
% 228.18/42.08 | | | | | | | | | |
% 228.18/42.08 | | | | | | | | | | Case 1:
% 228.18/42.08 | | | | | | | | | | |
% 228.18/42.08 | | | | | | | | | | | (404) all_54_15 = e3
% 228.29/42.09 | | | | | | | | | | |
% 228.29/42.09 | | | | | | | | | | | REF_CLOSE: (299), (395), (404) are inconsistent by sub-proof
% 228.29/42.09 | | | | | | | | | | | #2340.
% 228.29/42.09 | | | | | | | | | | |
% 228.29/42.09 | | | | | | | | | | Case 2:
% 228.29/42.09 | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | (405) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 228.29/42.10 | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | BETA: splitting (405) gives:
% 228.29/42.10 | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | (406) all_54_15 = e2
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | REF_CLOSE: (299), (390), (406) are inconsistent by sub-proof
% 228.29/42.10 | | | | | | | | | | | | #2339.
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | Case 2:
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | (407) all_54_15 = e1 | all_54_15 = e0
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | BETA: splitting (407) gives:
% 228.29/42.10 | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | (408) all_54_15 = e1
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REF_CLOSE: (299), (403), (408) are inconsistent by sub-proof
% 228.29/42.10 | | | | | | | | | | | | | #2338.
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | Case 2:
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | (409) all_54_15 = e0
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | COMBINE_EQS: (299), (409) imply:
% 228.29/42.10 | | | | | | | | | | | | | (410) all_4_2 = e0
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | SIMP: (410) implies:
% 228.29/42.10 | | | | | | | | | | | | | (411) all_4_2 = e0
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | COMBINE_EQS: (254), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (412) all_56_31 = e0
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REDUCE: (368), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (413) ~ (all_52_3 = e0)
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REDUCE: (387), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (414) ~ (all_52_12 = e0)
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REDUCE: (388), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (415) ~ (all_52_13 = e0)
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REDUCE: (389), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (416) ~ (all_52_14 = e0)
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | REDUCE: (36), (411) imply:
% 228.29/42.10 | | | | | | | | | | | | | (417) op(e0, e0) = e0
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 228.29/42.10 | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | (418) ~ (all_22_2 = e1)
% 228.29/42.10 | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | REDUCE: (326), (418) imply:
% 228.29/42.10 | | | | | | | | | | | | | | (419) ~ (all_8_2 = e1)
% 228.29/42.10 | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 228.29/42.10 | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | (420) all_54_5 = e3
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (420) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | (421) all_8_2 = e3
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | REDUCE: (392), (421) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | (422) $false
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | CLOSE: (422) is inconsistent.
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | Case 2:
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | (423) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | BETA: splitting (423) gives:
% 228.29/42.10 | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | (424) all_54_5 = e2
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (424) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (425) all_8_2 = e2
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (425) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (426) all_56_11 = e2
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | REDUCE: (366), (425) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (427) ~ (all_52_1 = e2)
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | REDUCE: (373), (425) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (428) ~ (all_52_7 = e2)
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | REDUCE: (375), (425) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (429) ~ (all_52_9 = e2)
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | REDUCE: (377), (425) imply:
% 228.29/42.10 | | | | | | | | | | | | | | | | (430) ~ (all_52_13 = e2)
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 228.29/42.10 | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.10 | | | | | | | | | | | | | | | | |
% 228.29/42.10 | | | | | | | | | | | | | | | | | (431) ~ (all_24_2 = e2)
% 228.29/42.10 | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | REDUCE: (301), (431) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | (432) ~ (all_10_2 = e2)
% 228.29/42.11 | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 228.29/42.11 | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (433) all_54_0 = e3
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (433) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (434) all_10_2 = e3
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | SIMP: (434) implies:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (435) all_10_2 = e3
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (435) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (436) all_56_1 = e3
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | REDUCE: (355), (435) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (437) ~ (all_52_1 = e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | REDUCE: (357), (435) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (438) ~ (all_52_2 = e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | REDUCE: (359), (435) imply:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | (439) ~ (all_52_3 = e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.29/42.11 | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (440) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (440) gives:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (441) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | = e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (427), (437), (438), (441),
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | #2333.
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (442) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | = e0)
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (413), (436), (439), (442),
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | | #2329.
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | End of split
% 228.29/42.11 | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | Case 2:
% 228.29/42.11 | | | | | | | | | | | | | | | | | | |
% 228.29/42.11 | | | | | | | | | | | | | | | | | | | (443) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 228.29/42.12 | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (444) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | = e2)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (426), (428), (429), (444),
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | #2325.
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | Case 2:
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (445) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | = e0)
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (412), (415), (416), (445),
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | | #2321.
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | | End of split
% 228.29/42.12 | | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | End of split
% 228.29/42.12 | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | Case 2:
% 228.29/42.12 | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | (446) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 228.29/42.12 | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (432), (446) are inconsistent
% 228.29/42.12 | | | | | | | | | | | | | | | | | | by sub-proof #2319.
% 228.29/42.12 | | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | End of split
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | Case 2:
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | (447) all_24_2 = e2
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (447) imply:
% 228.29/42.12 | | | | | | | | | | | | | | | | | (448) all_10_2 = e2
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | SIMP: (448) implies:
% 228.29/42.12 | | | | | | | | | | | | | | | | | (449) all_10_2 = e2
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.12 | | | | | | | | | | | | | | | | | REDUCE: (359), (449) imply:
% 228.29/42.12 | | | | | | | | | | | | | | | | | (450) ~ (all_52_3 = e2)
% 228.29/42.12 | | | | | | | | | | | | | | | | |
% 228.29/42.13 | | | | | | | | | | | | | | | | | REDUCE: (365), (449) imply:
% 228.29/42.13 | | | | | | | | | | | | | | | | | (451) ~ (all_52_12 = e2)
% 228.29/42.13 | | | | | | | | | | | | | | | | |
% 228.29/42.13 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 228.29/42.13 | | | | | | | | | | | | | | | | |
% 228.29/42.13 | | | | | | | | | | | | | | | | | Case 1:
% 228.29/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | (452) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 228.45/42.13 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (430), (451), (452),
% 228.45/42.13 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.45/42.13 | | | | | | | | | | | | | | | | | | #2316.
% 228.45/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | Case 2:
% 228.45/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | (453) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 228.45/42.13 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | (454) all_58_11 = e2 & op(e1, e0) = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | ALPHA: (454) implies:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | (455) op(e1, e0) = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | (456) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (428), (450), (456),
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | #2314.
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | (457) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (457) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (458) all_58_14 = e2 & op(e0, e1) = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (459) op(e0, e1) = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (459) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (460) all_52_11 = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (455) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (461) all_52_14 = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (461) imply:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (462) ~ (all_6_2 = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | SIMP: (462) implies:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | (463) ~ (all_6_2 = e2)
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | (464) all_54_10 = e3
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (464) are inconsistent by sub-proof
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | #2313.
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | (465) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | (466) all_54_10 = e2
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (463), (466) are inconsistent by sub-proof
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | #2312.
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | (467) all_54_10 = e1 | all_54_10 = e0
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (467) gives:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (468) all_54_10 = e1
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (468) imply:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (469) all_6_2 = e1
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (469) implies:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (470) all_6_2 = e1
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (470) imply:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (471) all_56_21 = e1
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (470) imply:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (472) ~ (all_52_8 = e1)
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (470) imply:
% 228.45/42.13 | | | | | | | | | | | | | | | | | | | | | | | | (473) ~ (all_52_9 = e1)
% 228.45/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.45/42.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.45/42.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.45/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (474) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (475) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (426), (427), (471), (475),
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (476) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (412), (413), (472), (476),
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #2307.
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (477) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (478) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (478) gives:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (479) implies:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) op(e2, e1) = e2
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (429), (480), (function-axioms) are
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (428), (473), (481),
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2305.
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (482) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (483) implies:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) op(e2, e0) = e0
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (415), (484), (function-axioms) are
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (485) gives:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) op(e1, e0) = e1
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (297), (385), (401), (467), (487),
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2302.
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (488) implies:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) op(e1, e0) = e0
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (416), (489), (function-axioms) are
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | (490) all_54_10 = e0
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (401), (490) are inconsistent by sub-proof
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | | | | #2303.
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | (491) all_58_15 = e2 & op(e0, e0) = e2
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (491) implies:
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | (492) op(e0, e0) = e2
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (417), (492), (function-axioms) are
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.17 | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | (493) all_58_15 = e2 & op(e0, e0) = e2
% 228.49/42.17 | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | ALPHA: (493) implies:
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | (494) op(e0, e0) = e2
% 228.49/42.17 | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (417), (494), (function-axioms) are
% 228.49/42.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 228.49/42.17 | | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | Case 2:
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | (495) all_54_5 = e1 | all_54_5 = e0
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (419), (495) are inconsistent by
% 228.49/42.17 | | | | | | | | | | | | | | | | sub-proof #2300.
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | End of split
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | Case 2:
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | (496) all_22_2 = e1
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | COMBINE_EQS: (326), (496) imply:
% 228.49/42.17 | | | | | | | | | | | | | | (497) all_8_2 = e1
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | SIMP: (497) implies:
% 228.49/42.17 | | | | | | | | | | | | | | (498) all_8_2 = e1
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | COMBINE_EQS: (353), (498) imply:
% 228.49/42.17 | | | | | | | | | | | | | | (499) all_56_11 = e1
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | REDUCE: (373), (498) imply:
% 228.49/42.17 | | | | | | | | | | | | | | (500) ~ (all_52_7 = e1)
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | REDUCE: (375), (498) imply:
% 228.49/42.17 | | | | | | | | | | | | | | (501) ~ (all_52_9 = e1)
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | REDUCE: (377), (498) imply:
% 228.49/42.17 | | | | | | | | | | | | | | (502) ~ (all_52_13 = e1)
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 228.49/42.17 | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | Case 1:
% 228.49/42.17 | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | (503) ~ (all_24_2 = e2)
% 228.49/42.17 | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | REDUCE: (301), (503) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | (504) ~ (all_10_2 = e2)
% 228.49/42.17 | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 228.49/42.17 | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | Case 1:
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | (505) all_54_0 = e3
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (505) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | | (506) all_10_2 = e3
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | SIMP: (506) implies:
% 228.49/42.17 | | | | | | | | | | | | | | | | (507) all_10_2 = e3
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (507) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | | (508) all_56_1 = e3
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | REDUCE: (355), (507) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | | (509) ~ (all_52_1 = e3)
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | REDUCE: (357), (507) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | | (510) ~ (all_52_2 = e3)
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | REDUCE: (359), (507) imply:
% 228.49/42.17 | | | | | | | | | | | | | | | | (511) ~ (all_52_3 = e3)
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.49/42.17 | | | | | | | | | | | | | | | |
% 228.49/42.17 | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.17 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | (512) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.18 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.18 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.18 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.49/42.18 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.49/42.18 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.18 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | BETA: splitting (512) gives:
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (513) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.18 | | | | | | | | | | | | | | | | | | = e3)
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (508), (509), (510), (513),
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.18 | | | | | | | | | | | | | | | | | | #2299.
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (514) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 228.49/42.18 | | | | | | | | | | | | | | | | | | = e0)
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (413), (508), (511), (514),
% 228.49/42.18 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.18 | | | | | | | | | | | | | | | | | | #2329.
% 228.49/42.18 | | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | End of split
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | (515) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.49/42.18 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.49/42.18 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.49/42.18 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.49/42.18 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.49/42.18 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.49/42.18 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.49/42.18 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.49/42.18 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.49/42.18 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.49/42.18 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (118), (121), (133), (145),
% 228.49/42.18 | | | | | | | | | | | | | | | | | (157), (159), (160), (164), (165), (167), (169),
% 228.49/42.18 | | | | | | | | | | | | | | | | | (170), (194), (197), (201), (213), (266), (269),
% 228.49/42.18 | | | | | | | | | | | | | | | | | (280), (297), (381), (385), (391), (401), (412),
% 228.49/42.18 | | | | | | | | | | | | | | | | | (413), (414), (415), (416), (499), (501), (515),
% 228.49/42.18 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.18 | | | | | | | | | | | | | | | | | #2280.
% 228.49/42.18 | | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | End of split
% 228.49/42.18 | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | Case 2:
% 228.49/42.18 | | | | | | | | | | | | | | | |
% 228.49/42.18 | | | | | | | | | | | | | | | | (516) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 228.49/42.18 | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (504), (516) are inconsistent
% 228.49/42.19 | | | | | | | | | | | | | | | | by sub-proof #2319.
% 228.49/42.19 | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | End of split
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | Case 2:
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | (517) all_24_2 = e2
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (517) imply:
% 228.49/42.19 | | | | | | | | | | | | | | | (518) all_10_2 = e2
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (518) imply:
% 228.49/42.19 | | | | | | | | | | | | | | | (519) all_56_1 = e2
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | REDUCE: (355), (518) imply:
% 228.49/42.19 | | | | | | | | | | | | | | | (520) ~ (all_52_1 = e2)
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.49/42.19 | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | Case 1:
% 228.49/42.19 | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | (521) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.19 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.19 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.19 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.19 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.19 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.19 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.19 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.19 | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.49/42.19 | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.49/42.19 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.49/42.19 | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | BETA: splitting (521) gives:
% 228.49/42.19 | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | (522) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.49/42.19 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.19 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.19 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | | = e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (499), (519), (520), (522),
% 228.49/42.19 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.19 | | | | | | | | | | | | | | | | | #2279.
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | (523) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 228.49/42.19 | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.49/42.19 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.49/42.19 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 228.49/42.19 | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | | = e0)
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | BETA: splitting (523) gives:
% 228.49/42.19 | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | Case 1:
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (524) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.49/42.19 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 228.49/42.19 | | | | | | | | | | | | | | | | | | e3) = e1
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | ALPHA: (524) implies:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (525) ~ (all_56_21 = e3)
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (526) op(e1, e3) = e1
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (527) op(e3, e1) = e1
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 228.49/42.19 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (526) gives:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (528) all_52_2 = e1
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 228.49/42.19 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (527) gives:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (529) all_52_8 = e1
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | REDUCE: (144), (528) imply:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (530) ~ (all_52_3 = e1)
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | SIMP: (530) implies:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (531) ~ (all_52_3 = e1)
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | REDUCE: (120), (529) imply:
% 228.49/42.19 | | | | | | | | | | | | | | | | | | (532) ~ (all_52_12 = e1)
% 228.49/42.19 | | | | | | | | | | | | | | | | | |
% 228.49/42.19 | | | | | | | | | | | | | | | | | | SIMP: (532) implies:
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (533) ~ (all_52_12 = e1)
% 228.49/42.20 | | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (110), (112), (113), (118), (121), (133),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (145), (157), (158), (159), (160), (164), (165),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (197), (201),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (213), (217), (220), (266), (269), (280), (297),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (381), (385), (391), (401), (412), (413), (414),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (415), (416), (417), (499), (500), (502), (531),
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (533), (function-axioms) are inconsistent by
% 228.49/42.20 | | | | | | | | | | | | | | | | | | sub-proof #2273.
% 228.49/42.20 | | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | | Case 2:
% 228.49/42.20 | | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | | | (534) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 228.49/42.20 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 228.49/42.20 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 228.49/42.20 | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 228.49/42.20 | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.49/42.20 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.49/42.20 | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 228.49/42.20 | | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (412), (413), (534), (function-axioms) are
% 228.49/42.20 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2308.
% 228.49/42.20 | | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | Case 2:
% 228.49/42.20 | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | (535) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.49/42.20 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.49/42.20 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.49/42.20 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.49/42.20 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.49/42.20 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.49/42.20 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.49/42.20 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.49/42.20 | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.49/42.20 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.49/42.20 | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.49/42.20 | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.49/42.20 | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.49/42.20 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.49/42.20 | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (118), (121), (133), (145),
% 228.49/42.20 | | | | | | | | | | | | | | | | (157), (159), (160), (164), (165), (167), (169),
% 228.49/42.20 | | | | | | | | | | | | | | | | (170), (194), (197), (201), (213), (266), (269),
% 228.49/42.20 | | | | | | | | | | | | | | | | (280), (297), (381), (385), (391), (401), (412),
% 228.49/42.20 | | | | | | | | | | | | | | | | (413), (414), (415), (416), (499), (501), (535),
% 228.49/42.20 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.49/42.20 | | | | | | | | | | | | | | | | #2280.
% 228.49/42.20 | | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | End of split
% 228.49/42.20 | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | Case 2:
% 228.49/42.20 | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | (536) all_20_2 = e1
% 228.49/42.20 | | | | | | | | | | (537) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 228.49/42.20 | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 228.49/42.20 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 228.49/42.20 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 228.49/42.20 | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | COMBINE_EQS: (341), (536) imply:
% 228.49/42.20 | | | | | | | | | | (538) all_4_2 = e1
% 228.49/42.20 | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | SIMP: (538) implies:
% 228.49/42.20 | | | | | | | | | | (539) all_4_2 = e1
% 228.49/42.20 | | | | | | | | | |
% 228.49/42.20 | | | | | | | | | | COMBINE_EQS: (324), (539) imply:
% 228.49/42.21 | | | | | | | | | | (540) all_34_2 = e1
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | COMBINE_EQS: (254), (539) imply:
% 228.49/42.21 | | | | | | | | | | (541) all_56_31 = e1
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (368), (539) imply:
% 228.49/42.21 | | | | | | | | | | (542) ~ (all_52_3 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (379), (539) imply:
% 228.49/42.21 | | | | | | | | | | (543) ~ (all_52_7 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (386), (539) imply:
% 228.49/42.21 | | | | | | | | | | (544) ~ (all_52_11 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (387), (539) imply:
% 228.49/42.21 | | | | | | | | | | (545) ~ (all_52_12 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (388), (539) imply:
% 228.49/42.21 | | | | | | | | | | (546) ~ (all_52_13 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | REDUCE: (389), (539) imply:
% 228.49/42.21 | | | | | | | | | | (547) ~ (all_52_14 = e1)
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | BETA: splitting (217) gives:
% 228.49/42.21 | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | Case 1:
% 228.49/42.21 | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | (548) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 228.49/42.21 | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 228.49/42.21 | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | BETA: splitting (548) gives:
% 228.49/42.21 | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | Case 1:
% 228.49/42.21 | | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | | (549) all_58_12 = e1 & op(e0, e3) = e1
% 228.49/42.21 | | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | | REF_CLOSE: (159), (542), (549), (function-axioms) are
% 228.49/42.21 | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 228.49/42.21 | | | | | | | | | | | |
% 228.49/42.21 | | | | | | | | | | | Case 2:
% 228.49/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | (550) all_58_13 = e1 & op(e0, e2) = e1
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | REF_CLOSE: (158), (543), (550), (function-axioms) are
% 228.78/42.21 | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | End of split
% 228.78/42.21 | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | Case 2:
% 228.78/42.21 | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | (551) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 228.78/42.21 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 228.78/42.21 | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | BETA: splitting (551) gives:
% 228.78/42.21 | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | (552) all_58_14 = e1 & op(e0, e1) = e1
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | ALPHA: (552) implies:
% 228.78/42.21 | | | | | | | | | | | | (553) op(e0, e1) = e1
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | REF_CLOSE: (157), (544), (553), (function-axioms) are
% 228.78/42.21 | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | Case 2:
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | (554) all_58_15 = e1 & op(e0, e0) = e1
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | ALPHA: (554) implies:
% 228.78/42.21 | | | | | | | | | | | | (555) all_58_15 = e1
% 228.78/42.21 | | | | | | | | | | | | (556) op(e0, e0) = e1
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | BETA: splitting (64) gives:
% 228.78/42.21 | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | (557) ~ (all_22_2 = e1)
% 228.78/42.21 | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | REDUCE: (326), (557) imply:
% 228.78/42.21 | | | | | | | | | | | | | (558) ~ (all_8_2 = e1)
% 228.78/42.21 | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 228.78/42.21 | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | (559) all_54_5 = e3
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | COMBINE_EQS: (275), (559) imply:
% 228.78/42.21 | | | | | | | | | | | | | | (560) all_8_2 = e3
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | REDUCE: (392), (560) imply:
% 228.78/42.21 | | | | | | | | | | | | | | (561) $false
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | CLOSE: (561) is inconsistent.
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | Case 2:
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | (562) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | BETA: splitting (562) gives:
% 228.78/42.21 | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | (563) all_54_5 = e2
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (563) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (564) all_8_2 = e2
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (565) all_56_11 = e2
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | REDUCE: (366), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (566) ~ (all_52_1 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | REDUCE: (373), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (567) ~ (all_52_7 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | REDUCE: (375), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (568) ~ (all_52_9 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | REDUCE: (377), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (569) ~ (all_52_13 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | REDUCE: (42), (564) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | (570) op(e2, e2) = e2
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 228.78/42.21 | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | (571) ~ (all_24_2 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | REDUCE: (301), (571) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | (572) ~ (all_10_2 = e2)
% 228.78/42.21 | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 228.78/42.21 | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | (573) all_54_0 = e3
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (573) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (574) all_10_2 = e3
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | SIMP: (574) implies:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (575) all_10_2 = e3
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (575) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (576) all_56_1 = e3
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | REDUCE: (355), (575) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (577) ~ (all_52_1 = e3)
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | REDUCE: (357), (575) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (578) ~ (all_52_2 = e3)
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | REDUCE: (359), (575) imply:
% 228.78/42.21 | | | | | | | | | | | | | | | | | (579) ~ (all_52_3 = e3)
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.78/42.21 | | | | | | | | | | | | | | | | |
% 228.78/42.21 | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.21 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (580) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | BETA: splitting (580) gives:
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (581) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | = e3)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (566), (577), (578), (581),
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | #2333.
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (582) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | = e0)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (576), (579), (582), (function-axioms) are
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2270.
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (583) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.78/42.22 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.78/42.22 | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.78/42.22 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | BETA: splitting (583) gives:
% 228.78/42.22 | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (584) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | = e2)
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (565), (567), (568), (584),
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.22 | | | | | | | | | | | | | | | | | | | #2325.
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.22 | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.22 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (585) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | = e0)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (541), (547), (565), (585),
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | #2268.
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.23 | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | End of split
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | (586) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (572), (586) are inconsistent
% 228.78/42.23 | | | | | | | | | | | | | | | | | by sub-proof #2319.
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | End of split
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | Case 2:
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | (587) all_24_2 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | (588) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 228.78/42.23 | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 228.78/42.23 | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (587) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (589) all_10_2 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (590) all_32_2 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (591) all_56_1 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | REDUCE: (359), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (592) ~ (all_52_3 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | REDUCE: (361), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (593) ~ (all_52_4 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | REDUCE: (365), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (594) ~ (all_52_12 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | REDUCE: (45), (589) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | (595) op(e3, e3) = e2
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | (596) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (569), (594), (596),
% 228.78/42.23 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.23 | | | | | | | | | | | | | | | | | #2316.
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | (597) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | (598) all_58_11 = e2 & op(e1, e0) = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | (599) op(e1, e0) = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (600) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (567), (592), (600),
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | #2314.
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | (601) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (601) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (602) all_58_14 = e2 & op(e0, e1) = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | ALPHA: (602) implies:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (603) op(e0, e1) = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (603) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (604) all_52_11 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (599) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (605) all_52_14 = e2
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (605) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (606) ~ (all_52_2 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (605) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (607) ~ (all_6_2 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | SIMP: (607) implies:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | (608) ~ (all_6_2 = e2)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | (609) ~ (all_34_2 = e1)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (609) imply:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | (610) $false
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | CLOSE: (610) is inconsistent.
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | (611) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | | (612) all_54_10 = e3
% 228.78/42.23 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (612) are inconsistent by sub-proof
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | #2313.
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | (613) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (614) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (614) implies:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (615) op(e0, e1) = all_20_1
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (113), (117), (120), (133), (134), (140),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (158), (159),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (165), (167), (168), (169),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (170), (192), (196), (197), (198), (201), (213),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (214), (219), (232), (242), (257), (268), (269),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (270), (280), (297), (380), (381), (401), (537),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (541), (545), (546), (547), (555), (556), (568),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (569), (570), (588), (590), (591), (592), (593),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (594), (595), (603), (606), (608), (611), (613),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (615), (function-axioms) are inconsistent by
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2232.
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (616) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (616) implies:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (617) op(e0, e1) = all_20_1
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (113), (117), (120), (133), (134), (140),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (144), (145), (146), (148), (149), (158), (159),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (160), (163), (164), (165), (167), (168), (169),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (170), (192), (196), (197), (198), (201), (213),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (214), (219), (232), (242), (257), (268), (269),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (270), (280), (297), (380), (381), (401), (537),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (541), (545), (546), (547), (555), (556), (568),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (569), (570), (588), (590), (591), (592), (593),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (594), (595), (603), (606), (608), (611), (613),
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | (617), (function-axioms) are inconsistent by
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2232.
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | (618) all_58_15 = e2 & op(e0, e0) = e2
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | ALPHA: (618) implies:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | (619) all_58_15 = e2
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (555), (619) are inconsistent by sub-proof
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | | #2231.
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | (620) all_58_15 = e2 & op(e0, e0) = e2
% 228.78/42.24 | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | ALPHA: (620) implies:
% 228.78/42.24 | | | | | | | | | | | | | | | | | | (621) all_58_15 = e2
% 228.78/42.24 | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (555), (621) are inconsistent by sub-proof
% 228.78/42.24 | | | | | | | | | | | | | | | | | | #2231.
% 228.78/42.24 | | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | (622) all_54_5 = e1 | all_54_5 = e0
% 228.78/42.24 | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (558), (622) are inconsistent by
% 228.78/42.24 | | | | | | | | | | | | | | | sub-proof #2300.
% 228.78/42.24 | | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | End of split
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | Case 2:
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | (623) all_22_2 = e1
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | COMBINE_EQS: (326), (623) imply:
% 228.78/42.24 | | | | | | | | | | | | | (624) all_8_2 = e1
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | SIMP: (624) implies:
% 228.78/42.24 | | | | | | | | | | | | | (625) all_8_2 = e1
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | COMBINE_EQS: (353), (625) imply:
% 228.78/42.24 | | | | | | | | | | | | | (626) all_56_11 = e1
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | REDUCE: (366), (625) imply:
% 228.78/42.24 | | | | | | | | | | | | | (627) ~ (all_52_1 = e1)
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | REDUCE: (369), (625) imply:
% 228.78/42.24 | | | | | | | | | | | | | (628) ~ (all_52_4 = e1)
% 228.78/42.24 | | | | | | | | | | | | |
% 228.78/42.24 | | | | | | | | | | | | | REDUCE: (392), (625) imply:
% 228.78/42.25 | | | | | | | | | | | | | (629) ~ (e3 = e1)
% 228.78/42.25 | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | BETA: splitting (241) gives:
% 228.78/42.25 | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | (630) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 228.78/42.25 | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | BETA: splitting (630) gives:
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | (631) all_58_0 = e1 & op(e3, e3) = e1
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | REF_CLOSE: (45), (393), (631), (function-axioms) are
% 228.78/42.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #2230.
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | Case 2:
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | (632) all_58_2 = e1 & op(e2, e3) = e1
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | REF_CLOSE: (167), (627), (632), (function-axioms) are
% 228.78/42.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | End of split
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | Case 2:
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | (633) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 228.78/42.25 | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 228.78/42.25 | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | (634) all_58_6 = e1 & op(e1, e3) = e1
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | ALPHA: (634) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | (635) all_58_6 = e1
% 228.78/42.25 | | | | | | | | | | | | | | | (636) op(e1, e3) = e1
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 228.78/42.25 | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | (637) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (393), (628), (637),
% 228.78/42.25 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.25 | | | | | | | | | | | | | | | | #2227.
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | Case 2:
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | (638) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | BETA: splitting (638) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | (639) all_58_4 = e1 & op(e3, e1) = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | ALPHA: (639) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (640) op(e3, e1) = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 228.78/42.25 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (636) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (641) all_52_2 = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 228.78/42.25 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (640) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (642) all_52_8 = e1
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (144), (641) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (643) ~ (all_52_3 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (143), (641) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (644) ~ (all_52_6 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | SIMP: (644) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (645) ~ (all_52_6 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (141), (641) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (646) ~ (all_52_14 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (123), (642) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (647) ~ (all_52_9 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | SIMP: (647) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (648) ~ (all_52_9 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (121), (642) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (649) ~ (all_52_11 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (120), (642) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (650) ~ (all_52_12 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (363), (642) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (651) ~ (all_10_2 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | REDUCE: (380), (642) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (652) ~ (all_6_2 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | SIMP: (652) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | (653) ~ (all_6_2 = e1)
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | (654) all_54_10 = e3
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (654) are inconsistent by sub-proof
% 228.78/42.25 | | | | | | | | | | | | | | | | | | #2313.
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | (655) ~ (all_54_10 = e3)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | (656) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (657) all_54_10 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (657) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (658) all_6_2 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | SIMP: (658) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (659) all_6_2 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (660) all_36_2 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (661) all_40_2 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (662) all_56_21 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (378), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (663) ~ (all_52_6 = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (381), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (664) ~ (all_52_9 = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (383), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (665) ~ (all_52_11 = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (385), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (666) ~ (all_52_14 = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (391), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (667) ~ (e3 = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (659) imply:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | (668) op(e1, e1) = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | (669) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | (670) all_58_6 = e2 & op(e1, e3) = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (670) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | (671) op(e1, e3) = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (636), (671), (function-axioms) are
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | (672) all_58_7 = e2 & op(e1, e2) = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | (673) all_58_7 = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | | (674) op(e1, e2) = e2
% 228.78/42.25 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | (225), (226), (635), (668), (673), (674),
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | #2200.
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | End of split
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | (675) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | (676) all_58_8 = e2 & op(e1, e1) = e2
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | (677) all_58_8 = e2
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | (678) ~ (all_24_2 = e2)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (678) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | (679) ~ (all_10_2 = e2)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (680) all_54_0 = e3
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (680) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (681) all_10_2 = e3
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (681) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (682) all_56_1 = e3
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (681) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (683) ~ (all_52_1 = e3)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (681) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (684) ~ (all_52_3 = e3)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (681) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (685) ~ (all_52_12 = e3)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (681) imply:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | (686) op(e3, e3) = e3
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (687) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (167), (636), (682), (683), (684),
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (687), (function-axioms) are inconsistent by
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2199.
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (688) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | (689) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (689) gives:
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (690) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (690) implies:
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (691) op(e2, e1) = e2
% 228.78/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (297), (381), (401), (653), (656), (691),
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | #2198.
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (692) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (692) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) op(e2, e1) = e1
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (648), (694), (function-axioms) are
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) ~ (all_56_31 = e0)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) ~ (all_56_21 = e0)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) ~ (all_56_1 = e0)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) op(e0, e2) = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) op(e2, e0) = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (699) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) all_52_7 = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (700) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) all_52_13 = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (701) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) ~ (all_52_3 = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (702) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) ~ (all_52_12 = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (702) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) ~ (all_52_14 = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) all_54_3 = e3
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (706) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) all_52_12 = e3
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (707) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) $false
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (708) is inconsistent.
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) ~ (all_54_3 = e3)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (710) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) all_54_3 = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (711) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_52_12 = e2
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (712) imply:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) $false
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (713) is inconsistent.
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) ~ (all_54_3 = e2)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) all_54_3 = e1 | all_54_3 = e0
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (546), (627),
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648), (683), (716), (function-axioms) are
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2195.
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (717) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_58_5 = e3 & op(e2, e1) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (718) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) all_58_5 = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) all_58_0 = e2 & op(e3, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) op(e3, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (686), (722), (function-axioms) are
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) all_58_1 = e2 & op(e3, e2) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) all_58_1 = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) op(e3, e2) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) all_58_1 = e3 & op(e3, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (727) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) op(e3, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (725), (728), (function-axioms) are
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2193.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) all_58_3 = e3 & op(e2, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (546), (627),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648), (729), (function-axioms) are inconsistent
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (730) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_58_7 = e3 & op(e1, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (731) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) op(e1, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (733) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) all_58_0 = e2 & op(e3, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) op(e3, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (136), (162), (168),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (195), (240), (242), (246), (267), (685),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724), (732), (735), (function-axioms) are
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2178.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_58_2 = e2 & op(e2, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (736) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) op(e2, e3) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (145), (167), (193), (197),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (269), (280), (545), (546), (547), (666),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715), (737), (function-axioms) are inconsistent
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2172.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (159), (636), (703), (738), (function-axioms)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2171.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_58_13 = e3 & op(e0, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (739) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) op(e0, e2) = e3
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (699), (740), (function-axioms) are
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_58_4 = e2 & op(e3, e1) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_58_4 = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (668), (719), (743), (function-axioms) are
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2155.
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_58_9 = e2 & op(e3, e0) = e2
% 229.03/42.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (744) implies:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) op(e3, e0) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (280), (545), (704), (715), (745),
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2153.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_58_10 = e3 & op(e2, e0) = e3
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (746) implies:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) op(e2, e0) = e3
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (700), (747), (function-axioms) are
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | (748) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (541), (547), (662), (748),
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | #2151.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | (749) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (679), (749) are inconsistent
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2319.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (750) all_24_2 = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (751) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (750) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (752) all_10_2 = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | SIMP: (752) implies:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (753) all_10_2 = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (754) all_32_2 = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (755) all_56_1 = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (756) ~ (all_52_1 = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (757) ~ (all_52_3 = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (758) ~ (all_52_4 = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (759) ~ (all_52_12 = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (753) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | (760) op(e3, e3) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | (761) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | (762) all_58_9 = e2 & op(e3, e0) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (759), (762), (function-axioms) are
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2318.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | (763) all_58_10 = e2 & op(e2, e0) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (763) implies:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | (764) op(e2, e0) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | (765) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_58_12 = e2 & op(e0, e3) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (757), (766), (function-axioms) are
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2315.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_58_13 = e2 & op(e0, e2) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (767) implies:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | (768) op(e0, e2) = e2
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) ~ (all_32_2 = e2)
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (769) imply:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) $false
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (770) is inconsistent.
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.29 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) ~ (all_34_2 = e1)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (772) imply:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) $false
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (773) is inconsistent.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) ~ (all_36_2 = e2)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (660), (775) imply:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) $false
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (776) is inconsistent.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) ~ (all_40_2 = e2)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (778) imply:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) $false
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (779) is inconsistent.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_54_9 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (781) imply:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_52_6 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (782) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_52_6 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (783) imply:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) ~ (all_52_14 = e3)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) ~ (all_52_14 = e3)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (786) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) all_58_6 = e3 & op(e1, e3) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (787) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) op(e1, e3) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (636), (788), (function-axioms) are
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_58_7 = e3 & op(e1, e2) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (789) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_58_7 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) op(e1, e2) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_58_9 = e3 & op(e3, e0) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_58_9 = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) op(e3, e0) = e3
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (796) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_58_0 = e0 & op(e3, e3) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (797) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) op(e3, e3) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (760), (798), (function-axioms) are
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_58_1 = e0 & op(e3, e2) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (799) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) op(e3, e2) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (801) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) all_58_6 = e0 & op(e1, e3) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (635), (802) are inconsistent by sub-proof
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2205.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_58_7 = e0 & op(e1, e2) = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (803) implies:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_58_7 = e0
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (226), (636), (668), (785),
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804), (function-axioms) are inconsistent by
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2147.
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_58_8 = e0 & op(e1, e1) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (806) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) op(e1, e1) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (668), (807), (function-axioms) are
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_58_11 = e0 & op(e1, e0) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (808) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_58_11 = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) op(e1, e0) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) all_58_15 = e0 & op(e0, e0) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (811) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) op(e0, e0) = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (556), (812), (function-axioms) are
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (813) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (816) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) op(e1, e2) = all_36_1
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (818) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) ~ (all_24_0 = e0)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) op(e3, e2) = all_24_1
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) op(all_24_1, e3) = all_24_0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (123), (126),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (401), (541), (543), (546), (555),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (628), (664), (760), (764), (777), (780),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791), (795), (822), (function-axioms) are
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2104.
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (823) gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) op(e1, e0) = all_56_29
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) op(e1, all_56_29) = e1
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (810), (825)
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_56_29 = e0
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (827) imply:
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) op(e1, e0) = e1
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (764), (794), (815), (828),
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2101.
% 229.03/42.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) all_56_30 = e0 & op(e0, all_56_31) = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (829) implies:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) op(e0, all_56_31) = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (830) imply:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) op(e0, e1) = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (118), (139), (146), (157), (159),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (192), (198), (200), (211),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (218), (219), (226), (227), (232),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (257), (270), (279), (391), (537), (542),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544), (546), (627), (636), (640), (648), (662),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664), (665), (668), (755), (756), (757), (760),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764), (771), (774), (777), (780), (791), (800),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809), (814), (817), (819), (820), (821), (831),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2064.
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (832) implies:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) ~ (all_24_1 = e1)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) op(e3, e2) = all_24_1
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (123), (126),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (401), (541), (543), (546), (555),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (628), (664), (760), (764), (777), (780),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791), (795), (835), (function-axioms) are
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2104.
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (836) gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (837) implies:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) op(e1, e0) = all_56_29
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) op(e1, all_56_29) = e1
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (771) gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (840) implies:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) op(e3, e2) = all_32_1
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (780) gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (810), (838)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) all_56_29 = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (834), (841)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_32_1 = all_24_1
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_1,
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (800), (841) gives:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_32_1 = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (844) imply:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_24_1 = e0
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (845) imply:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) ~ (e1 = e0)
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (842) imply:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) op(e1, e0) = e1
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (764), (794), (815), (847),
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2101.
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 229.03/42.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (777), (791), (848), (function-axioms) are
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2144.
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (849) implies:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) ~ (all_32_1 = e0)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) op(e3, e2) = all_32_1
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (800), (834), (850), (851), (function-axioms) are
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2065.
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) all_56_30 = e0 & op(e0, all_56_31) = e0
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (852) implies:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) op(e0, all_56_31) = e0
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (853) imply:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) op(e0, e1) = e0
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (118), (139), (146), (157), (159),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (192), (198), (200), (211),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (218), (219), (226), (227), (232),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (257), (270), (279), (391), (537), (542),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546), (627), (636), (640), (648), (662), (664),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665), (668), (755), (756), (757), (760), (764),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771), (774), (777), (780), (791), (800), (809),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814), (817), (833), (834), (854),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2061.
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (855) implies:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) ~ (all_36_1 = e0)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) op(e1, e2) = all_36_1
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (751) gives:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (858) implies:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) ~ (all_24_0 = e0)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) op(e3, e2) = all_24_1
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) op(all_24_1, e3) = all_24_0
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (123), (126),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (401), (541), (543), (546), (555),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (628), (664), (760), (764), (777), (780),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791), (795), (856), (857), (862),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2060.
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (863) gives:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (764), (777), (780), (791), (794),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810), (815), (856), (857), (864),
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2059.
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_56_30 = e0 & op(e0, all_56_31) = e0
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (865) implies:
% 229.03/42.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) op(e0, all_56_31) = e0
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (866) imply:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) op(e0, e1) = e0
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (118), (139), (146), (157), (159),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (192), (198), (200), (211),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (218), (219), (226), (227), (232),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (257), (270), (279), (391), (537), (542),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544), (546), (627), (636), (640), (648), (662),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664), (665), (668), (755), (756), (757), (760),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764), (771), (774), (777), (780), (791), (800),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809), (814), (857), (859), (860), (861), (867),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2064.
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (868) implies:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) ~ (all_24_1 = e1)
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) op(e3, e2) = all_24_1
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (39), (123), (126),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (401), (541), (543), (546), (555),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627), (628), (664), (760), (764), (777), (780),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791), (795), (856), (857), (871),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2060.
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (764), (777), (780), (791), (794),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810), (815), (856), (857), (873),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2059.
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) all_56_30 = e0 & op(e0, all_56_31) = e0
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (874) implies:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) op(e0, all_56_31) = e0
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (875) imply:
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) op(e0, e1) = e0
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (39), (118), (139), (146), (157), (159),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (192), (198), (200), (211),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (214), (217), (218), (219), (226), (227), (232),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (257), (270), (279), (391), (537), (542),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546), (627), (636), (640), (648), (662), (664),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665), (668), (755), (756), (757), (760), (764),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771), (774), (777), (780), (791), (800), (809),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814), (857), (869), (870), (876),
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2061.
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (877) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) all_58_4 = e0 & op(e3, e1) = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (878) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) op(e3, e1) = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (640), (879), (function-axioms) are
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2089.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_58_9 = e0 & op(e3, e0) = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (880) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) all_58_9 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (794), (881) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) e3 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (882) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) e3 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (883) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_58_7 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (160), (226), (636), (668), (785),
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884), (function-axioms) are inconsistent by
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2147.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_58_10 = e3 & op(e2, e0) = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (885) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) op(e2, e0) = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (764), (886), (function-axioms) are
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (555), (785), (887), (function-axioms)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2058.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (668), (785), (888), (function-axioms)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2148.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (889) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) all_54_9 = e2
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (890) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_52_6 = e2
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (663), (891) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) $false
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (892) is inconsistent.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) all_54_9 = e1 | all_54_9 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (893) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_54_9 = e1
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (894) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) all_52_6 = e1
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (645), (895) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) $false
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (896) is inconsistent.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_54_9 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (897) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_52_6 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (898) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) ~ (all_52_4 = e0)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (898) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) ~ (all_52_14 = e0)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (900) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) ~ (all_52_14 = e0)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_54_11 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (902) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_52_14 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (903) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) ~ (all_52_12 = e3)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) all_54_3 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (904), (905) are inconsistent by sub-proof
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2057.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_54_1 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (907) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_52_4 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_52_4 = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (909) imply:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) op(e3, e2) = e3
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (906) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) all_54_3 = e2
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (759), (911) are inconsistent by sub-proof
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2290.
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) ~ (all_54_3 = e2)
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_54_3 = e1 | all_54_3 = e0
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (771) gives:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 229.03/42.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (914) implies:
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) op(e3, e2) = all_32_1
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (162), (165), (212), (267), (280),
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297), (381), (401), (545), (547), (626), (645),
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653), (656), (759), (760), (768), (893), (910),
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913), (915), (function-axioms) are inconsistent
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2052.
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (916) implies:
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) op(e3, e2) = all_32_1
% 229.03/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (162), (165), (212), (267), (280),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (297), (381), (401), (545), (547), (626), (645),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653), (656), (759), (760), (768), (893), (910),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913), (917), (function-axioms) are inconsistent
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2052.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (628), (758), (899), (918) are inconsistent
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2048.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (547), (666), (901), (919) are inconsistent
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2173.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | (920) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (920) gives:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_58_14 = e2 & op(e0, e1) = e2
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (921) implies:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_58_14 = e2
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_58_4 = e0 & op(e3, e1) = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (924) implies:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_58_4 = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) op(e3, e1) = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (228), (230), (668),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677), (922), (925), (926), (function-axioms) are
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2043.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) all_58_5 = e0 & op(e2, e1) = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (927) implies:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_58_5 = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) op(e2, e1) = e0
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (165), (228), (230),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668), (677), (922), (928), (929),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2037.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (668), (922), (930), (function-axioms) are
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2035.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_58_15 = e2 & op(e0, e0) = e2
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (931) implies:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_58_15 = e2
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (555), (932) are inconsistent by sub-proof
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | (933) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (226), (555),
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | (635), (636), (668), (933), (function-axioms) are
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2027.
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | (934) all_58_11 = e2 & op(e1, e0) = e2
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (934) implies:
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | | (935) all_58_11 = e2
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (223), (226), (635),
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | | (636), (668), (935), (function-axioms) are
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2028.
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | (936) all_54_10 = e1 | all_54_10 = e0
% 229.40/42.37 | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (401), (653), (936) are inconsistent by
% 229.40/42.37 | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 229.40/42.37 | | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | (937) all_58_9 = e1 & op(e3, e0) = e1
% 229.40/42.37 | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (545), (937), (function-axioms) are
% 229.40/42.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 229.40/42.37 | | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | (938) all_58_12 = e1 & op(e0, e3) = e1
% 229.40/42.37 | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | | REF_CLOSE: (159), (542), (938), (function-axioms) are
% 229.40/42.37 | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 229.40/42.37 | | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | End of split
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | (939) all_18_2 = e0
% 229.40/42.37 | | | | | | | | | (940) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 229.40/42.37 | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 229.40/42.37 | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0) =
% 229.40/42.37 | | | | | | | | | all_18_1 & $i(all_18_1))
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | COMBINE_EQS: (339), (939) imply:
% 229.40/42.37 | | | | | | | | | (941) all_6_2 = e0
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | COMBINE_EQS: (332), (941) imply:
% 229.40/42.37 | | | | | | | | | (942) all_28_2 = e0
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | COMBINE_EQS: (266), (941) imply:
% 229.40/42.37 | | | | | | | | | (943) all_56_21 = e0
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (367), (941) imply:
% 229.40/42.37 | | | | | | | | | (944) ~ (all_52_2 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (378), (941) imply:
% 229.40/42.37 | | | | | | | | | (945) ~ (all_52_6 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (380), (941) imply:
% 229.40/42.37 | | | | | | | | | (946) ~ (all_52_8 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (381), (941) imply:
% 229.40/42.37 | | | | | | | | | (947) ~ (all_52_9 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (383), (941) imply:
% 229.40/42.37 | | | | | | | | | (948) ~ (all_52_11 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (385), (941) imply:
% 229.40/42.37 | | | | | | | | | (949) ~ (all_52_14 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (391), (941) imply:
% 229.40/42.37 | | | | | | | | | (950) ~ (e3 = e0)
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | REDUCE: (39), (941) imply:
% 229.40/42.37 | | | | | | | | | (951) op(e1, e1) = e0
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | BETA: splitting (61) gives:
% 229.40/42.37 | | | | | | | | |
% 229.40/42.37 | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | (952) ~ (all_20_2 = e1)
% 229.40/42.37 | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | REDUCE: (341), (952) imply:
% 229.40/42.37 | | | | | | | | | | (953) ~ (all_4_2 = e1)
% 229.40/42.37 | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | BETA: splitting (189) gives:
% 229.40/42.37 | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | (954) all_54_15 = e3
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | COMBINE_EQS: (299), (954) imply:
% 229.40/42.37 | | | | | | | | | | | (955) all_4_2 = e3
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | REDUCE: (395), (955) imply:
% 229.40/42.37 | | | | | | | | | | | (956) $false
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | CLOSE: (956) is inconsistent.
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | (957) ~ (all_54_15 = e3)
% 229.40/42.37 | | | | | | | | | | | (958) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | BETA: splitting (958) gives:
% 229.40/42.37 | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | (959) all_54_15 = e2
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | COMBINE_EQS: (299), (959) imply:
% 229.40/42.37 | | | | | | | | | | | | (960) all_4_2 = e2
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | REDUCE: (390), (960) imply:
% 229.40/42.37 | | | | | | | | | | | | (961) $false
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | CLOSE: (961) is inconsistent.
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | (962) ~ (all_54_15 = e2)
% 229.40/42.37 | | | | | | | | | | | | (963) all_54_15 = e1 | all_54_15 = e0
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | BETA: splitting (963) gives:
% 229.40/42.37 | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | (964) all_54_15 = e1
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | COMBINE_EQS: (299), (964) imply:
% 229.40/42.37 | | | | | | | | | | | | | (965) all_4_2 = e1
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (953), (965) imply:
% 229.40/42.37 | | | | | | | | | | | | | (966) $false
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | CLOSE: (966) is inconsistent.
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | Case 2:
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | (967) all_54_15 = e0
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | COMBINE_EQS: (299), (967) imply:
% 229.40/42.37 | | | | | | | | | | | | | (968) all_4_2 = e0
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | COMBINE_EQS: (254), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (969) all_56_31 = e0
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (379), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (970) ~ (all_52_7 = e0)
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (388), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (971) ~ (all_52_13 = e0)
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (390), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (972) ~ (e2 = e0)
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (953), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (973) ~ (e1 = e0)
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | REDUCE: (36), (968) imply:
% 229.40/42.37 | | | | | | | | | | | | | (974) op(e0, e0) = e0
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | BETA: splitting (235) gives:
% 229.40/42.37 | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | (975) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 229.40/42.37 | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 229.40/42.37 | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | BETA: splitting (975) gives:
% 229.40/42.37 | | | | | | | | | | | | | |
% 229.40/42.37 | | | | | | | | | | | | | | Case 1:
% 229.40/42.37 | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | (976) all_58_1 = e0 & op(e3, e2) = e0
% 229.40/42.38 | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | ALPHA: (976) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | (977) all_58_1 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | (978) op(e3, e2) = e0
% 229.40/42.38 | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 229.40/42.38 | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | (979) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | BETA: splitting (979) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | (980) all_58_2 = e0 & op(e2, e3) = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | ALPHA: (980) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (981) all_58_2 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | | (982) op(e2, e3) = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 229.40/42.38 | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (982) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (983) all_52_1 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 229.40/42.38 | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (978) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (984) all_52_4 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (149), (983) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (985) ~ (all_52_2 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (148), (983) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (986) ~ (all_52_3 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | SIMP: (986) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (987) ~ (all_52_3 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (145), (983) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (988) ~ (all_52_13 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (136), (984) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (989) ~ (all_52_6 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (135), (984) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (990) ~ (all_52_7 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (133), (984) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (991) ~ (all_52_12 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | SIMP: (991) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (992) ~ (all_52_12 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (361), (984) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (993) ~ (all_10_2 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | REDUCE: (369), (984) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | (994) ~ (all_8_2 = e0)
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | (995) ~ (all_22_2 = e1)
% 229.40/42.38 | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | REDUCE: (326), (995) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | (996) ~ (all_8_2 = e1)
% 229.40/42.38 | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | (997) all_54_5 = e3
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (997) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | (998) all_8_2 = e3
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | REDUCE: (392), (998) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | (999) $false
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | CLOSE: (999) is inconsistent.
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | (1000) ~ (all_54_5 = e3)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | (1001) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1002) all_54_5 = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1002) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1003) all_8_2 = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1004) all_56_11 = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1005) ~ (all_52_7 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1006) ~ (all_52_9 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1007) ~ (all_52_13 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1008) ~ (e3 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (1003) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | (1009) op(e2, e2) = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | (1010) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | (1011) all_58_1 = e2 & op(e3, e2) = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1011) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | (1012) op(e3, e2) = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (978), (1012), (function-axioms) are
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2026.
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | (1013) all_58_3 = e2 & op(e2, e2) = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1013) implies:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | (1014) all_58_3 = e2
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | (1015) ~ (all_24_2 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (1015) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | (1016) ~ (all_10_2 = e2)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_54_0 = e3
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (1017) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_10_2 = e3
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1018) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_56_1 = e3
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (1018) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (1020) ~ (all_52_2 = e3)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1018) imply:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | (1021) ~ (all_52_3 = e3)
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.40/42.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.40/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (1022) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.40/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1023) gives:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1024) implies:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) op(e3, e2) = e3
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (978), (1025), (function-axioms) are
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2099.
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (163), (978), (1020), (1026),
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2025.
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (987), (1019), (1021), (1027),
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | | #2329.
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1028) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1028) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (1004), (1005), (1006), (1029),
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #2325.
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (949), (969), (971), (1030),
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (1016), (1031) are
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1032) all_24_2 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1033) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1032) imply:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1034) all_10_2 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1034) imply:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1035) all_32_2 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1034) imply:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1036) all_56_1 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1034) imply:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1037) ~ (all_52_3 = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1034) imply:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | (1038) ~ (all_52_12 = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | (1039) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1039) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_58_6 = e2 & op(e1, e3) = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1040) implies:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_58_6 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | (1042) op(e1, e3) = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1007), (1038), (1043),
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #2316.
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_58_11 = e2 & op(e1, e0) = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1045) implies:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_58_11 = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) op(e1, e0) = e2
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_58_6 = e3 & op(e1, e3) = e3
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1049) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_58_6 = e3
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1041), (1050) are inconsistent by sub-proof
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_58_7 = e3 & op(e1, e2) = e3
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1051) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) op(e1, e2) = e3
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1053) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_58_6 = e1 & op(e1, e3) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1054) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) op(e1, e3) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1042), (1055), (function-axioms) are
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_58_7 = e1 & op(e1, e2) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1056) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) op(e1, e2) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1052), (1057), (function-axioms) are
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2094.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_58_8 = e1 & op(e1, e1) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1059) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) op(e1, e1) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (223), (944), (945),
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949), (1060), (function-axioms) are inconsistent
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2020.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_58_11 = e1 & op(e1, e0) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1061) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) op(e1, e0) = e1
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1047), (1062), (function-axioms) are
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2019.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (951), (1046), (1063), (function-axioms)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2017.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_58_15 = e2 & op(e0, e0) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1064) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) op(e0, e0) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (974), (1065), (function-axioms) are
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_58_7 = e2 & op(e1, e2) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1066) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_58_7 = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1068) op(e1, e2) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (236),
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (977), (978), (1009), (1014),
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1067), (1068), (function-axioms) are inconsistent
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2012.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | (1069) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1069) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_58_8 = e2 & op(e1, e1) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1070) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1071) op(e1, e1) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (951), (1071), (function-axioms) are
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_58_11 = e2 & op(e1, e0) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1072) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | (1073) op(e1, e0) = e2
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_32_2 = e2)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1035), (1074) imply:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) $false
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1077) implies:
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) ~ (all_32_0 = e1)
% 229.53/42.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) op(e3, e2) = all_32_1
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) op(all_32_1, e3) = all_32_0
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1005), (1037), (1081),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2314.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_58_14 = e2 & op(e0, e1) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1083) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) op(e0, e1) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (1084) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_52_11 = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1073) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_52_14 = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_1,
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (978), (1079) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) all_32_1 = e0
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1086) imply:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) ~ (all_52_2 = e2)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1080), (1087) imply:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) op(e0, e3) = all_32_0
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1033) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1090) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) op(e3, e2) = all_24_1
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (144), (159), (163), (164), (191), (192),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (214), (256), (257), (268), (944), (951),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970), (978), (982), (987), (1005), (1007),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036), (1037), (1078), (1088), (1089), (1091),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1092) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) op(e3, e2) = all_24_1
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (144), (159), (163), (164), (191), (192),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (196), (214), (256), (257), (268), (944), (951),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970), (978), (982), (987), (1005), (1007),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036), (1037), (1078), (1088), (1089), (1093),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2003.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_58_15 = e2 & op(e0, e0) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1094) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) op(e0, e0) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (974), (1095), (function-axioms) are
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (978), (1033), (1096), (function-axioms) are
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2002.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | (1097) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1097) gives:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (1098) all_58_7 = e2 & op(e1, e2) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1098) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (1099) all_58_7 = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (1100) op(e1, e2) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (236), (238), (977),
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (978), (1009), (1099), (1100), (function-axioms)
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2001.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (1101) all_58_13 = e2 & op(e0, e2) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | (1102) op(e0, e2) = e2
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1005), (1102), (function-axioms) are
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | (1103) all_54_5 = e1 | all_54_5 = e0
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (996), (1103) are inconsistent by
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | | sub-proof #2300.
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | End of split
% 229.53/42.42 | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | Case 2:
% 229.53/42.42 | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | (1104) all_22_2 = e1
% 229.53/42.42 | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1104) imply:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | (1105) all_8_2 = e1
% 229.53/42.42 | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1105) imply:
% 229.53/42.42 | | | | | | | | | | | | | | | | | | (1106) all_56_11 = e1
% 229.53/42.42 | | | | | | | | | | | | | | | | | |
% 229.53/42.42 | | | | | | | | | | | | | | | | | | REDUCE: (373), (1105) imply:
% 229.53/42.43 | | | | | | | | | | | | | | | | | | (1107) ~ (all_52_7 = e1)
% 229.53/42.43 | | | | | | | | | | | | | | | | | |
% 229.53/42.43 | | | | | | | | | | | | | | | | | | REDUCE: (375), (1105) imply:
% 229.53/42.43 | | | | | | | | | | | | | | | | | | (1108) ~ (all_52_9 = e1)
% 229.53/42.43 | | | | | | | | | | | | | | | | | |
% 229.53/42.43 | | | | | | | | | | | | | | | | | | REDUCE: (377), (1105) imply:
% 229.53/42.43 | | | | | | | | | | | | | | | | | | (1109) ~ (all_52_13 = e1)
% 229.53/42.43 | | | | | | | | | | | | | | | | | |
% 229.53/42.43 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.53/42.43 | | | | | | | | | | | | | | | | | |
% 229.53/42.43 | | | | | | | | | | | | | | | | | | Case 1:
% 229.53/42.43 | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (1110) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (1111) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (978), (1106), (1111), (function-axioms)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2000.
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (1112) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | = e0)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1113) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1113) implies:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1114) ~ (all_56_31 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1115) ~ (all_56_11 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1116) ~ (all_56_1 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1117) op(e1, e3) = e1
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1118) op(e3, e1) = e1
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (290), (1116) imply:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1119) ~ (all_10_2 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1106), (1115) imply:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | (1120) ~ (e3 = e1)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | (1121) all_54_0 = e3
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (1121) imply:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | (1122) all_10_2 = e3
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (1122) imply:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | (1123) $false
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1123) is inconsistent.
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | (1124) ~ (all_54_0 = e3)
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | (1125) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1125) gives:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | | (1126) all_54_0 = e2
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (1126) imply:
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | | (1127) all_10_2 = e2
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.43 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1127) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | (1128) all_24_2 = e2
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (1127) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | (1129) all_32_2 = e2
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (1127) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | (1130) ~ (all_52_8 = e2)
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (1127) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | (1131) ~ (all_52_12 = e2)
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (1127) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | (1132) ~ (e3 = e2)
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | | (1133) ~ (all_24_2 = e2)
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1128), (1133) imply:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | | (1134) $false
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1134) is inconsistent.
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.69/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | (1135) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | (1136) ~ (all_32_2 = e2)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1129), (1136) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | (1137) $false
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1137) is inconsistent.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | (1138) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1139) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_58_1 = e1 & op(e3, e2) = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (977), (1140) are inconsistent by sub-proof
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2015.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_58_3 = e1 & op(e2, e2) = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) all_58_3 = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) op(e2, e2) = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1138) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1117) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) all_52_2 = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1118) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_52_8 = e1
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1144) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) ~ (all_52_14 = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1146) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) ~ (all_52_14 = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1145) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) ~ (all_52_12 = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1148) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) ~ (all_52_12 = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1130), (1145) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) ~ (e2 = e1)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) all_54_3 = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (1151) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_52_12 = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1152) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) ~ (all_52_13 = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1153) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) ~ (all_52_13 = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1152) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) ~ (all_52_14 = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1155) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) ~ (all_52_14 = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1157) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) all_58_2 = e3 & op(e2, e3) = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1158) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) all_58_2 = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (981), (1159) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) e3 = e0
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1160) imply:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) $false
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1161) is inconsistent.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_58_3 = e3 & op(e2, e2) = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_58_3 = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1142), (1163) are inconsistent by sub-proof
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1999.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1164) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_58_5 = e3 & op(e2, e1) = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1165) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) op(e2, e1) = e3
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1167) gives:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_58_2 = e2 & op(e2, e3) = e2
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1168) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) op(e2, e3) = e2
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (197), (269), (971), (1109), (1154),
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169), (function-axioms) are inconsistent by
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2291.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_58_3 = e2 & op(e2, e2) = e2
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) op(e2, e2) = e2
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1143), (1171), (function-axioms) are
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_58_5 = e2 & op(e2, e1) = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1173) implies:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) op(e2, e1) = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1166), (1174), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_58_10 = e2 & op(e2, e0) = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1175) implies:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) op(e2, e0) = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) all_54_7 = e3
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1154), (1177) are inconsistent by
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_54_11 = e3
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (1156), (1179) are inconsistent by
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_54_11 = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1181) imply:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_52_14 = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1182) implies:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_52_14 = e2
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1183) imply:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) ~ (all_52_13 = e2)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (269), (1109), (1176), (1178), (1184),
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1995.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_54_11 = e1 | all_54_11 = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (949), (1147), (1185) are inconsistent by
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2174.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_58_10 = e3 & op(e2, e0) = e3
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1186) implies:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) op(e2, e0) = e3
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1154), (1187), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (992), (1131), (1149), (1188) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (978), (1135), (1189), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2002.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1190) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_58_7 = e1 & op(e1, e2) = e1
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1191) implies:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_58_7 = e1
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) op(e1, e2) = e1
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (225), (226), (951),
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117), (1192), (1193), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1993.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_58_13 = e1 & op(e0, e2) = e1
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1107), (1194), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | (1195) all_54_0 = e1 | all_54_0 = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (1195) are inconsistent by
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2320.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | (1196) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (969), (987), (1196), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2308.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (1197) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (1198) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (969), (1106), (1108), (1198),
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | #2297.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (1199) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (949), (969), (971), (1199),
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | | #2321.
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | (1200) all_58_3 = e0 & op(e2, e2) = e0
% 229.74/42.45 | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (397), (1200), (function-axioms) are
% 229.74/42.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 229.74/42.45 | | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | End of split
% 229.74/42.45 | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.45 | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | (1201) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 229.74/42.45 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 229.74/42.45 | | | | | | | | | | | | | | | |
% 229.74/42.45 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (947), (971), (1201),
% 229.74/42.45 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.46 | | | | | | | | | | | | | | | | #1991.
% 229.74/42.46 | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | (1202) all_58_3 = e0 & op(e2, e2) = e0
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REF_CLOSE: (42), (397), (1202), (function-axioms) are
% 229.74/42.46 | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | (1203) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 229.74/42.46 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (945), (970), (1203),
% 229.74/42.46 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.46 | | | | | | | | | | | | | | #1990.
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | (1204) all_20_2 = e1
% 229.74/42.46 | | | | | | | | | | (1205) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 229.74/42.46 | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 229.74/42.46 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 229.74/42.46 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | COMBINE_EQS: (341), (1204) imply:
% 229.74/42.46 | | | | | | | | | | (1206) all_4_2 = e1
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | SIMP: (1206) implies:
% 229.74/42.46 | | | | | | | | | | (1207) all_4_2 = e1
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | COMBINE_EQS: (324), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1208) all_34_2 = e1
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | COMBINE_EQS: (254), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1209) all_56_31 = e1
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (368), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1210) ~ (all_52_3 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (379), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1211) ~ (all_52_7 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (387), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1212) ~ (all_52_12 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (388), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1213) ~ (all_52_13 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (389), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1214) ~ (all_52_14 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | REDUCE: (390), (1207) imply:
% 229.74/42.46 | | | | | | | | | | (1215) ~ (e2 = e1)
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | BETA: splitting (220) gives:
% 229.74/42.46 | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | (1216) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 229.74/42.46 | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | BETA: splitting (1216) gives:
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | (1217) all_58_9 = e1 & op(e3, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | REF_CLOSE: (168), (1212), (1217), (function-axioms) are
% 229.74/42.46 | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | (1218) all_58_10 = e1 & op(e2, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | REF_CLOSE: (164), (1213), (1218), (function-axioms) are
% 229.74/42.46 | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | End of split
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | (1219) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 229.74/42.46 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | BETA: splitting (1219) gives:
% 229.74/42.46 | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | (1220) all_58_11 = e1 & op(e1, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | ALPHA: (1220) implies:
% 229.74/42.46 | | | | | | | | | | | | (1221) op(e1, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | REF_CLOSE: (160), (1214), (1221), (function-axioms) are
% 229.74/42.46 | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | (1222) all_58_15 = e1 & op(e0, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | ALPHA: (1222) implies:
% 229.74/42.46 | | | | | | | | | | | | (1223) all_58_15 = e1
% 229.74/42.46 | | | | | | | | | | | | (1224) op(e0, e0) = e1
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | BETA: splitting (64) gives:
% 229.74/42.46 | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | (1225) ~ (all_22_2 = e1)
% 229.74/42.46 | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | REDUCE: (326), (1225) imply:
% 229.74/42.46 | | | | | | | | | | | | | (1226) ~ (all_8_2 = e1)
% 229.74/42.46 | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 229.74/42.46 | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | (1227) all_54_5 = e3
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | COMBINE_EQS: (275), (1227) imply:
% 229.74/42.46 | | | | | | | | | | | | | | (1228) all_8_2 = e3
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | REDUCE: (392), (1228) imply:
% 229.74/42.46 | | | | | | | | | | | | | | (1229) $false
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | CLOSE: (1229) is inconsistent.
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | Case 2:
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | (1230) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | BETA: splitting (1230) gives:
% 229.74/42.46 | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | (1231) all_54_5 = e2
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1231) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1232) all_8_2 = e2
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1233) all_56_11 = e2
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REDUCE: (366), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1234) ~ (all_52_1 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REDUCE: (373), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1235) ~ (all_52_7 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REDUCE: (375), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1236) ~ (all_52_9 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REDUCE: (377), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1237) ~ (all_52_13 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | REDUCE: (42), (1232) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | (1238) op(e2, e2) = e2
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 229.74/42.46 | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | (1239) ~ (all_24_2 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | REDUCE: (301), (1239) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | (1240) ~ (all_10_2 = e2)
% 229.74/42.46 | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 229.74/42.46 | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1241) all_54_0 = e3
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (1241) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1242) all_10_2 = e3
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1242) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1243) all_56_1 = e3
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | REDUCE: (355), (1242) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1244) ~ (all_52_1 = e3)
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | REDUCE: (357), (1242) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1245) ~ (all_52_2 = e3)
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | REDUCE: (359), (1242) imply:
% 229.74/42.46 | | | | | | | | | | | | | | | | | (1246) ~ (all_52_3 = e3)
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.74/42.46 | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (1247) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.46 | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.74/42.46 | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.46 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.46 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.74/42.46 | | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | | BETA: splitting (1247) gives:
% 229.74/42.46 | | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.46 | | | | | | | | | | | | | | | | | | |
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | (1248) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.46 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e3)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (1234), (1244), (1245), (1248),
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | #2333.
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (1249) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1243), (1246), (1249), (function-axioms)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2270.
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (1250) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.47 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.47 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.47 | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.47 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | BETA: splitting (1250) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (1251) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (1233), (1235), (1236), (1251),
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | #2325.
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (1252) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (949), (1214), (1233), (1252),
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | #1988.
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | (1253) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (1240), (1253) are
% 229.74/42.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | End of split
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | (1254) all_24_2 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1254) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1255) all_10_2 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | SIMP: (1255) implies:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1256) all_10_2 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1256) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1257) all_56_1 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | REDUCE: (359), (1256) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1258) ~ (all_52_3 = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | REDUCE: (361), (1256) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1259) ~ (all_52_4 = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | REDUCE: (365), (1256) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1260) ~ (all_52_12 = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | REDUCE: (45), (1256) imply:
% 229.74/42.47 | | | | | | | | | | | | | | | | (1261) op(e3, e3) = e2
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | (1262) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (1235), (1258), (1262),
% 229.74/42.47 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.47 | | | | | | | | | | | | | | | | | #2314.
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | (1263) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | BETA: splitting (1263) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (1264) all_58_14 = e2 & op(e0, e1) = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | ALPHA: (1264) implies:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | (1265) op(e0, e1) = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (1266) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (1237), (1260), (1266),
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | #2316.
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | (1267) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (1267) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | (1268) all_58_11 = e2 & op(e1, e0) = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (1268) implies:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | (1269) all_58_11 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | (1270) op(e1, e0) = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (1265) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | (1271) all_52_11 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (1270) gives:
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | (1272) all_52_14 = e2
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.47 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1272) imply:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_52_2 = e2)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1272) imply:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_52_6 = e2)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1271) imply:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | (1275) ~ (all_52_8 = e2)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | (1276) ~ (all_28_2 = e0)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (1276) imply:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | (1277) $false
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1277) is inconsistent.
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | (1278) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1279) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (1280) op(e1, e0) = all_18_1
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (1281) op(all_18_1, e1) = all_18_0
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (1282) ~ (all_34_2 = e1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1282) imply:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (1283) $false
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1283) is inconsistent.
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | (1284) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1285) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1285) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1286) ~ (all_34_0 = e3)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1287) op(e0, e1) = all_34_1
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1288) op(all_34_1, e0) = all_34_0
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1205) gives:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1289) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1290) op(e0, e1) = all_20_1
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (120), (123), (133), (134), (135), (140),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (158),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (195), (196), (197),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (213), (214),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (224), (225), (226), (235), (239), (240),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (246), (256), (267), (268), (269),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (270), (279), (280), (281), (282), (944), (945),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (946), (947), (949), (951), (1211), (1212),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1213), (1223), (1224), (1234), (1236), (1237),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1238), (1257), (1259), (1260), (1261), (1265),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1270), (1273), (1274), (1275), (1278),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1280), (1281), (1286), (1287), (1288), (1290),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | #1943.
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1291) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1292) op(e0, e1) = all_20_1
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (120), (123), (133), (134), (135), (140),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (146), (148), (149), (158),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (195), (196), (197),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (198), (200), (201), (202), (203), (213), (214),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (224), (225), (226), (235), (239), (240),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (246), (256), (267), (268), (269),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (270), (279), (280), (281), (282), (944), (945),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (946), (947), (949), (951), (1211), (1212),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1213), (1223), (1224), (1234), (1236), (1237),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1238), (1257), (1259), (1260), (1261), (1265),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1270), (1273), (1274), (1275), (1278),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (1280), (1281), (1286), (1287), (1288), (1292),
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | | #1943.
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1293) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (all_34_1 = e2)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | (1295) op(e0, e1) = all_34_1
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1205), (1265), (1294), (1295), (function-axioms)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2236.
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (1296) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1296) implies:
% 229.74/42.48 | | | | | | | | | | | | | | | | | | | | | | (1297) op(e1, e0) = all_18_1
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | (1298) ~ (all_34_2 = e1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1208), (1298) imply:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | (1299) $false
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1299) is inconsistent.
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | (1300) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1300) gives:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1301) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_34_0 = e3)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1303) op(e0, e1) = all_34_1
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1304) op(all_34_1, e0) = all_34_0
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1205) gives:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1305) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1306) op(e0, e1) = all_20_1
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (117), (120), (123), (133), (134), (135),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (140), (143), (144), (145), (146), (148), (149),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (191), (195), (196),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (202), (203), (213),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (219), (224), (225), (226), (235), (239),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (243), (246), (256), (267), (268),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (279), (280), (281), (282), (944),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (945), (946), (949), (951), (1211), (1212),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1213), (1223), (1224), (1234), (1236), (1237),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1238), (1257), (1259), (1260), (1261), (1265),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1270), (1273), (1274), (1275), (1278),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1302), (1303), (1304), (1306),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | #1942.
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1307) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1307) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1308) op(e0, e1) = all_20_1
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (117), (120), (123), (133), (134), (135),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (140), (143), (144), (145), (146), (148), (149),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (191), (195), (196),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (197), (198), (200), (201), (202), (203), (213),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (214), (219), (224), (225), (226), (235), (239),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (243), (246), (256), (267), (268),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (279), (280), (281), (282), (944),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (945), (946), (949), (951), (1211), (1212),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1213), (1223), (1224), (1234), (1236), (1237),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1238), (1257), (1259), (1260), (1261), (1265),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1270), (1273), (1274), (1275), (1278),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1302), (1303), (1304), (1308),
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | | #1942.
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (all_34_1 = e2)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | (1311) op(e0, e1) = all_34_1
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1205), (1265), (1310), (1311), (function-axioms)
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2236.
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | (1312) all_58_15 = e2 & op(e0, e0) = e2
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | ALPHA: (1312) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | (1313) all_58_15 = e2
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1223), (1313) are inconsistent by sub-proof
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | | #2231.
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | (1314) all_58_15 = e2 & op(e0, e0) = e2
% 229.74/42.49 | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | ALPHA: (1314) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | | | | (1315) all_58_15 = e2
% 229.74/42.49 | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1223), (1315) are inconsistent by sub-proof
% 229.74/42.49 | | | | | | | | | | | | | | | | | | #2231.
% 229.74/42.49 | | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | (1316) all_54_5 = e1 | all_54_5 = e0
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (1226), (1316) are inconsistent by
% 229.74/42.49 | | | | | | | | | | | | | | | sub-proof #2300.
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | End of split
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | Case 2:
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | (1317) all_22_2 = e1
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | COMBINE_EQS: (326), (1317) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1318) all_8_2 = e1
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | SIMP: (1318) implies:
% 229.74/42.49 | | | | | | | | | | | | | (1319) all_8_2 = e1
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | COMBINE_EQS: (353), (1319) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1320) all_56_11 = e1
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | REDUCE: (366), (1319) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1321) ~ (all_52_1 = e1)
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | REDUCE: (369), (1319) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1322) ~ (all_52_4 = e1)
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | REDUCE: (392), (1319) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1323) ~ (e3 = e1)
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | REDUCE: (42), (1319) imply:
% 229.74/42.49 | | | | | | | | | | | | | (1324) op(e2, e2) = e1
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | BETA: splitting (224) gives:
% 229.74/42.49 | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | (1325) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 229.74/42.49 | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 229.74/42.49 | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 229.74/42.49 | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | (1326) all_58_6 = e1 & op(e1, e3) = e1
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | ALPHA: (1326) implies:
% 229.74/42.49 | | | | | | | | | | | | | | | (1327) op(e1, e3) = e1
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 229.74/42.49 | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | Case 1:
% 229.74/42.49 | | | | | | | | | | | | | | | |
% 229.74/42.49 | | | | | | | | | | | | | | | | (1328) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 229.74/42.49 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 229.74/42.49 | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (170), (393), (1322), (1328),
% 229.74/42.50 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.50 | | | | | | | | | | | | | | | | #2227.
% 229.74/42.50 | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.50 | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | (1329) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | BETA: splitting (1329) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1330) all_58_4 = e1 & op(e3, e1) = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1331) op(e3, e1) = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 229.74/42.50 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (1327) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1332) all_52_2 = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 229.74/42.50 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (1331) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1333) all_52_8 = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (144), (1332) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1334) ~ (all_52_3 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (143), (1332) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1335) ~ (all_52_6 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | SIMP: (1335) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1336) ~ (all_52_6 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (141), (1332) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1337) ~ (all_52_14 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (123), (1333) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1338) ~ (all_52_9 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | SIMP: (1338) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1339) ~ (all_52_9 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (121), (1333) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1340) ~ (all_52_11 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | SIMP: (1340) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1341) ~ (all_52_11 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (120), (1333) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1342) ~ (all_52_12 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | REDUCE: (363), (1333) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | (1343) ~ (all_10_2 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | (1344) ~ (all_24_2 = e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | REDUCE: (301), (1344) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | (1345) ~ (all_10_2 = e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1346) all_54_0 = e3
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (1346) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1347) all_10_2 = e3
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1347) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1348) all_56_1 = e3
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | REDUCE: (355), (1347) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1349) ~ (all_52_1 = e3)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | REDUCE: (359), (1347) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1350) ~ (all_52_3 = e3)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1347) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | (1351) op(e3, e3) = e3
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (1352) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (167), (1327), (1348), (1349), (1350),
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (1352), (function-axioms) are inconsistent by
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | sub-proof #2199.
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (1353) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (1354) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1355) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1355) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_56_31 = e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1209), (1356) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1357) $false
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1357) is inconsistent.
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1358) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (943), (1339), (1358), (function-axioms)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1941.
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (1359) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1360) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1360) implies:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1361) op(e0, e2) = e0
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1362) op(e2, e0) = e0
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (1361) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1363) all_52_7 = e0
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (1362) gives:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1364) all_52_13 = e0
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1364) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1365) ~ (all_52_1 = e0)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1363) imply:
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | | (1366) ~ (all_52_3 = e0)
% 229.74/42.50 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (944), (1351),
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1365), (1366), (function-axioms) are inconsistent
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1367) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (949), (1214), (1367), (function-axioms)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1989.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1368) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (399), (1345), (1368) are
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1369) all_24_2 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (1369) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1370) all_10_2 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1371) all_56_1 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | REDUCE: (355), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1372) ~ (all_52_1 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | REDUCE: (359), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1373) ~ (all_52_3 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | REDUCE: (361), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1374) ~ (all_52_4 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | REDUCE: (365), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1375) ~ (all_52_12 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | REDUCE: (45), (1370) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | (1376) op(e3, e3) = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1377) all_54_11 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1377) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1378) all_52_14 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1379) all_52_14 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1379) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1380) ~ (all_52_6 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1379) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1381) ~ (all_52_12 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1379) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | (1382) ~ (all_52_13 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | (1383) all_54_3 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (1381), (1383) are inconsistent by
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | (1384) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | (1385) all_54_9 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (1385) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | (1386) all_52_6 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1380), (1386) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | (1387) $false
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1387) is inconsistent.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | (1388) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1389) all_54_9 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (1389) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1390) all_52_6 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1390) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1391) ~ (all_52_7 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1392) ~ (all_52_7 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1390) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | (1393) op(e1, e2) = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (1394) all_54_3 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (1375), (1394) are inconsistent by
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2290.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | (1395) all_54_3 = e1 | all_54_3 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1395) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_54_3 = e1
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (1212), (1396) are inconsistent by
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2289.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_54_3 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (1397) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_52_12 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1398) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_52_12 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1399) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1400) ~ (all_52_4 = e0)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1399) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1401) ~ (all_52_13 = e0)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | (1402) ~ (all_52_13 = e0)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_54_7 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1382), (1403) are inconsistent by
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_54_7 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1405) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_52_13 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1406) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_52_13 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1407) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) ~ (all_52_9 = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_54_1 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (1409) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_52_4 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1410) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_52_4 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1411) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) ~ (all_52_7 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1412) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_52_7 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1411) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) op(e3, e2) = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_54_13 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (1413), (1415) are inconsistent by
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_54_6 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (1417) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_52_9 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1418) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_52_9 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1419) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) ~ (all_52_11 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_52_11 = e3)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1419) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) op(e2, e1) = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_54_14 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1423) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_52_11 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1421), (1424) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) $false
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1425) is inconsistent.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1427) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1428) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) op(e3, e2) = all_56_9
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) op(e3, all_56_9) = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1416) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_54_13 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1431) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_52_7 = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1392), (1432) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) $false
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1433) is inconsistent.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_54_13 = e1 | all_54_13 = e0
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1434) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_54_13 = e1
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1435) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_52_7 = e1
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1436) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) $false
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1437) is inconsistent.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1414), (1429) gives:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_56_9 = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1430), (1438) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) op(e3, e3) = e3
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1376), (1439), (function-axioms) are
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_56_10 = e2 & op(e2, all_56_11) = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1440) implies:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) op(e2, all_56_11) = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (1441) imply:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op(e2, e1) = e2
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1422), (1442), (function-axioms) are
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) op(e1, e2) = all_56_13
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) op(e1, all_56_13) = e1
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1416) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_54_13 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1447) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_52_7 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1392), (1448) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) $false
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1449) is inconsistent.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_54_13 = e1 | all_54_13 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1450) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_54_13 = e1
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1451) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_52_7 = e1
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1452) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) $false
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1453) is inconsistent.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_54_13 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1454) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_52_7 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1455) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (e1 = e0)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (1393), (1445)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_56_13 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1446), (1457) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) op(e1, e2) = e1
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (255), (948), (951), (1341), (1426), (1445),
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446), (1458), (function-axioms) are inconsistent
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1934.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (256), (1211), (1224), (1392), (1416),
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459), (function-axioms) are inconsistent by
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1932.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (947), (1339), (1408), (1460) are
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2244.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1322), (1374), (1400), (1461) are
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_54_7 = e1 | all_54_7 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1213), (1402), (1462) are inconsistent by
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (1463) all_54_9 = e1 | all_54_9 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (163), (267), (945), (1327), (1463),
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | #1931.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.52 | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | (1464) ~ (all_54_11 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | (1465) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | REDUCE: (258), (1464) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | (1466) ~ (all_52_14 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (1465) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | (1467) all_54_11 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (1467) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | (1468) all_52_14 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | (1469) all_52_14 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1469) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | (1470) ~ (all_52_13 = e2)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (1469) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | (1471) op(e1, e0) = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | (1472) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1472) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (1473) all_58_6 = e3 & op(e1, e3) = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1473) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (1474) op(e1, e3) = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1327), (1474), (function-axioms) are
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (1475) all_58_7 = e3 & op(e1, e2) = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1475) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | (1476) op(e1, e2) = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (1477) all_54_9 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (1477) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (1478) all_52_6 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1478) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (1479) ~ (all_52_4 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1478) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (1480) ~ (all_52_7 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1480) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | (1481) ~ (all_52_7 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_54_1 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1479), (1482) are inconsistent by
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1484) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (1324), (1372), (1484),
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | #1929.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1485) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1485) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_58_5 = e2 & op(e2, e1) = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) op(e2, e1) = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1483) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_54_1 = e2
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1374), (1488) are inconsistent by
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) ~ (all_54_1 = e2)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_54_1 = e1 | all_54_1 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1490) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_54_1 = e1
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1322), (1491) are inconsistent by
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2051.
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_54_1 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (1492) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_52_4 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1493) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_52_4 = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1494) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) ~ (all_52_12 = e0)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1495) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) ~ (all_52_12 = e0)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1374), (1494) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) ~ (e2 = e0)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1322), (1494) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) ~ (e1 = e0)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1494) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) op(e3, e2) = e0
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_54_3 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (1500) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_52_12 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1501) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_52_12 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1502) imply:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) ~ (all_52_13 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1503) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) ~ (all_52_13 = e3)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1505) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1506) implies:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) op(e3, e0) = all_56_25
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) op(e3, all_56_25) = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_54_7 = e3
% 229.74/42.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1504), (1509) are inconsistent by
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) ~ (all_54_7 = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_58_2 = e3 & op(e2, e3) = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1513) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_58_2 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_58_15 = e0 & op(e0, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) op(e0, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1224), (1516), (function-axioms) are
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1517) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (1376), (1514), (1519),
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1927.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_58_6 = e0 & op(e1, e3) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1521) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) op(e1, e3) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (944), (1522), (function-axioms) are
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_58_12 = e0 & op(e0, e3) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1523) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_58_12 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_58_9 = e0 & op(e3, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1525) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) op(e3, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1507), (1508), (1526), (function-axioms) are
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_58_10 = e0 & op(e2, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1528) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) op(e2, e0) = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1530) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (1327), (1499), (1531),
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1925.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1533) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_56_5 = e1
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1511) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_54_7 = e2
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1470), (1535) are inconsistent by
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1997.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) all_54_7 = e1 | all_54_7 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1536) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) all_54_7 = e1
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (1213), (1537) are inconsistent by
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_54_7 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (1538) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_52_13 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1539) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_52_13 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1540) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_52_1 = e0)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) all_54_4 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1542) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) all_52_1 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1543) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_52_1 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1544) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) ~ (all_52_3 = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1545) implies:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) ~ (all_52_3 = e3)
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1544) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) op(e2, e3) = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) all_54_12 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (1548) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_52_3 = e3
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1546), (1549) imply:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) $false
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1550) is inconsistent.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (1371), (1499), (1547), (1552),
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1924.
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1554) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) op(e1, all_56_5) = e1
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1534), (1555) imply:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) op(e1, e1) = e1
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (223), (944), (945),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949), (1556), (function-axioms) are inconsistent
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2020.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (257), (1210), (1224), (1373), (1551),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557), (function-axioms) are inconsistent by
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2242.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (1321), (1372), (1541), (1558) are
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1559) gives:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1560) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) ~ (all_56_21 = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (943), (1561) imply:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) $false
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1562) is inconsistent.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1563) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) op(e3, e0) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1507), (1508), (1564), (function-axioms) are
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1566) gives:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1567) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) op(e1, e2) = e2
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1476), (1568), (function-axioms) are
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2207.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (1339), (1529), (1569),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1920.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1570) gives:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1571) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) op(e0, e2) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223), (1481), (1524), (1572), (function-axioms)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1914.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (949), (1471), (1573),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1960.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) all_58_11 = e0 & op(e1, e0) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1574) implies:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) op(e1, e0) = e0
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (949), (1575), (function-axioms) are
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_58_3 = e3 & op(e2, e2) = e3
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (1213), (1321),
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339), (1576), (function-axioms) are inconsistent
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (1487), (1504), (1577),
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1913.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) op(e2, e0) = all_56_27
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) op(e2, all_56_27) = e2
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_58_15 = e0 & op(e0, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e0, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (1224), (1582), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1583) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_58_9 = e0 & op(e3, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1585) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) op(e3, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1496), (1586), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1587) gives:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_58_10 = e0 & op(e2, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1588) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) op(e2, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (949), (1214), (1465), (1579), (1580),
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589), (function-axioms) are inconsistent by
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1912.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_58_11 = e0 & op(e1, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1590) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) op(e1, e0) = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (949), (1591), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (162), (948), (1209), (1336), (1471),
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592), (function-axioms) are inconsistent by
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1910.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (1212), (1375), (1496), (1593) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_58_10 = e2 & op(e2, e0) = e2
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1594) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) op(e2, e0) = e2
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1470), (1595), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2317.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | (1596) ~ (all_54_9 = e3)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (1596) imply:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | (1597) ~ (all_52_6 = e3)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (1476), (1597), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | (1598) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (951), (1466), (1598),
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | | #1909.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | (1599) all_54_11 = e1 | all_54_11 = e0
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (949), (1214), (1599) are inconsistent by
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | | sub-proof #2174.
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1600) all_58_9 = e1 & op(e3, e0) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1212), (1600), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | (1601) all_58_7 = e1 & op(e1, e2) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | ALPHA: (1601) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | (1602) all_58_7 = e1
% 229.74/42.55 | | | | | | | | | | | | | | | (1603) op(e1, e2) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | (1604) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | BETA: splitting (1604) gives:
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1605) all_58_0 = e1 & op(e3, e3) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (393), (1605), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2230.
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1606) all_58_2 = e1 & op(e2, e3) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1321), (1606), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | (1607) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 229.74/42.55 | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | BETA: splitting (1607) gives:
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1608) all_58_6 = e1 & op(e1, e3) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | ALPHA: (1608) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1609) op(e1, e3) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (225), (226), (951),
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1602), (1603), (1609), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1993.
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | (1610) all_58_12 = e1 & op(e0, e3) = e1
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1210), (1610), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 229.74/42.55 | | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | (1611) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 229.74/42.55 | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 229.74/42.55 | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 229.74/42.55 | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | Case 1:
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | (1612) all_58_8 = e1 & op(e1, e1) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | ALPHA: (1612) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | (1613) op(e1, e1) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (223), (944), (945),
% 229.74/42.55 | | | | | | | | | | | | | | | (949), (1613), (function-axioms) are inconsistent
% 229.74/42.55 | | | | | | | | | | | | | | | by sub-proof #2020.
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | (1614) all_58_11 = e1 & op(e1, e0) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | ALPHA: (1614) implies:
% 229.74/42.55 | | | | | | | | | | | | | | | (1615) op(e1, e0) = e1
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | | REF_CLOSE: (160), (1214), (1615), (function-axioms) are
% 229.74/42.55 | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 229.74/42.55 | | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | | |
% 229.74/42.55 | | | | | | | | | End of split
% 229.74/42.55 | | | | | | | | |
% 229.74/42.55 | | | | | | | | End of split
% 229.74/42.55 | | | | | | | |
% 229.74/42.55 | | | | | | | Case 2:
% 229.74/42.55 | | | | | | | |
% 229.74/42.55 | | | | | | | | (1616) all_16_2 = e0
% 229.74/42.55 | | | | | | | | (1617) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 229.74/42.55 | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) & $i(all_16_1))
% 229.74/42.55 | | | | | | | | | ( ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 229.74/42.55 | | | | | | | | $i(all_16_1))
% 229.74/42.55 | | | | | | | |
% 229.74/42.55 | | | | | | | | COMBINE_EQS: (342), (1616) imply:
% 229.74/42.55 | | | | | | | | (1618) all_10_2 = e0
% 229.74/42.55 | | | | | | | |
% 229.74/42.55 | | | | | | | | SIMP: (1618) implies:
% 229.74/42.55 | | | | | | | | (1619) all_10_2 = e0
% 229.74/42.55 | | | | | | | |
% 229.74/42.56 | | | | | | | | COMBINE_EQS: (350), (1619) imply:
% 229.74/42.56 | | | | | | | | (1620) all_50_2 = e0
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | COMBINE_EQS: (290), (1619) imply:
% 229.74/42.56 | | | | | | | | (1621) all_56_1 = e0
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (355), (1619) imply:
% 229.74/42.56 | | | | | | | | (1622) ~ (all_52_1 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (357), (1619) imply:
% 229.74/42.56 | | | | | | | | (1623) ~ (all_52_2 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (359), (1619) imply:
% 229.74/42.56 | | | | | | | | (1624) ~ (all_52_3 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (361), (1619) imply:
% 229.74/42.56 | | | | | | | | (1625) ~ (all_52_4 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (363), (1619) imply:
% 229.74/42.56 | | | | | | | | (1626) ~ (all_52_8 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (365), (1619) imply:
% 229.74/42.56 | | | | | | | | (1627) ~ (all_52_12 = e0)
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | REDUCE: (45), (1619) imply:
% 229.74/42.56 | | | | | | | | (1628) op(e3, e3) = e0
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | BETA: splitting (58) gives:
% 229.74/42.56 | | | | | | | |
% 229.74/42.56 | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | |
% 229.74/42.56 | | | | | | | | | (1629) ~ (all_18_2 = e0)
% 229.74/42.56 | | | | | | | | |
% 229.74/42.56 | | | | | | | | | REDUCE: (339), (1629) imply:
% 229.74/42.56 | | | | | | | | | (1630) ~ (all_6_2 = e0)
% 229.74/42.56 | | | | | | | | |
% 229.74/42.56 | | | | | | | | | BETA: splitting (61) gives:
% 229.74/42.56 | | | | | | | | |
% 229.74/42.56 | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | (1631) ~ (all_20_2 = e1)
% 229.74/42.56 | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | REDUCE: (341), (1631) imply:
% 229.74/42.56 | | | | | | | | | | (1632) ~ (all_4_2 = e1)
% 229.74/42.56 | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | BETA: splitting (189) gives:
% 229.74/42.56 | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | (1633) all_54_15 = e3
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | COMBINE_EQS: (299), (1633) imply:
% 229.74/42.56 | | | | | | | | | | | (1634) all_4_2 = e3
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | REDUCE: (395), (1634) imply:
% 229.74/42.56 | | | | | | | | | | | (1635) $false
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | CLOSE: (1635) is inconsistent.
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | (1636) ~ (all_54_15 = e3)
% 229.74/42.56 | | | | | | | | | | | (1637) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | BETA: splitting (1637) gives:
% 229.74/42.56 | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | (1638) all_54_15 = e2
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | COMBINE_EQS: (299), (1638) imply:
% 229.74/42.56 | | | | | | | | | | | | (1639) all_4_2 = e2
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | REDUCE: (390), (1639) imply:
% 229.74/42.56 | | | | | | | | | | | | (1640) $false
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | CLOSE: (1640) is inconsistent.
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | (1641) all_54_15 = e1 | all_54_15 = e0
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | BETA: splitting (1641) gives:
% 229.74/42.56 | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | (1642) all_54_15 = e1
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | COMBINE_EQS: (299), (1642) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1643) all_4_2 = e1
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (1632), (1643) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1644) $false
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | CLOSE: (1644) is inconsistent.
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | (1645) all_54_15 = e0
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | COMBINE_EQS: (299), (1645) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1646) all_4_2 = e0
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | COMBINE_EQS: (254), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1647) all_56_31 = e0
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (379), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1648) ~ (all_52_7 = e0)
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (386), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1649) ~ (all_52_11 = e0)
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (395), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1650) ~ (e3 = e0)
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (1632), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1651) ~ (e1 = e0)
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | REDUCE: (36), (1646) imply:
% 229.74/42.56 | | | | | | | | | | | | | (1652) op(e0, e0) = e0
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | BETA: splitting (235) gives:
% 229.74/42.56 | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | (1653) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 229.74/42.56 | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | (1654) all_58_1 = e0 & op(e3, e2) = e0
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | REF_CLOSE: (170), (1625), (1654), (function-axioms) are
% 229.74/42.56 | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | (1655) all_58_3 = e0 & op(e2, e2) = e0
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | REF_CLOSE: (42), (397), (1655), (function-axioms) are
% 229.74/42.56 | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | End of split
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | (1656) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 229.74/42.56 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | BETA: splitting (1656) gives:
% 229.74/42.56 | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | (1657) all_58_7 = e0 & op(e1, e2) = e0
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | ALPHA: (1657) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | (1658) all_58_7 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | (1659) op(e1, e2) = e0
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 229.74/42.56 | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | (1660) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | BETA: splitting (1660) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1661) all_58_4 = e0 & op(e3, e1) = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1626), (1661), (function-axioms) are
% 229.74/42.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1662) all_58_5 = e0 & op(e2, e1) = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | ALPHA: (1662) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1663) all_58_5 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1664) op(e2, e1) = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 229.74/42.56 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (1659) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1665) all_52_6 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 229.74/42.56 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (1664) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1666) all_52_9 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (128), (1665) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1667) ~ (all_52_7 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (126), (1665) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1668) ~ (all_52_14 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | SIMP: (1668) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1669) ~ (all_52_14 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (118), (1666) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1670) ~ (all_52_11 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (117), (1666) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1671) ~ (all_52_13 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | SIMP: (1671) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1672) ~ (all_52_13 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (375), (1666) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1673) ~ (all_8_2 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | REDUCE: (381), (1666) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | (1674) ~ (all_6_2 = e0)
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | (1675) ~ (all_22_2 = e1)
% 229.74/42.56 | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | REDUCE: (326), (1675) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | (1676) ~ (all_8_2 = e1)
% 229.74/42.56 | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | (1677) all_54_5 = e3
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (392), (1677) are inconsistent by sub-proof
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | #1907.
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | (1678) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (1678) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1679) all_54_5 = e2
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (1679) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1680) all_8_2 = e2
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1681) all_8_2 = e2
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1681) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1682) all_56_11 = e2
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (1681) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1683) ~ (all_52_1 = e2)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (1681) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1684) ~ (all_52_7 = e2)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (377), (1681) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | (1685) ~ (all_52_13 = e2)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | (1686) ~ (all_36_2 = e2)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (1686) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | (1687) ~ (all_6_2 = e2)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | (1688) all_54_10 = e3
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (1688) are inconsistent by sub-proof
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | #2313.
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | (1689) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1689) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | (1690) all_54_10 = e2
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (1687), (1690) are inconsistent by
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | (1691) all_54_10 = e1 | all_54_10 = e0
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_54_10 = e1
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (1692) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_6_2 = e1
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1693) implies:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_6_2 = e1
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (1694) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_56_21 = e1
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (1694) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_52_8 = e1)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1694) imply:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_52_14 = e1)
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1698) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.56 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (1682), (1683), (1695), (1699),
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | #2310.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (1624), (1647), (1696), (1700),
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | #2307.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1701) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1702) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) op(e2, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1664), (1704), (function-axioms) are
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (297), (381), (1630), (1684),
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691), (1705), (function-axioms) are inconsistent
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1904.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (1669), (1672), (1697), (1706),
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_54_10 = e0
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (1630), (1707) are inconsistent by
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1708) all_36_2 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1709) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (1708) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1710) all_6_2 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (1710) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1711) all_40_2 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (1710) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1712) all_56_21 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (1710) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1713) ~ (e3 = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1710) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | (1714) op(e1, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | (1715) ~ (all_40_2 = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1711), (1715) imply:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | (1716) $false
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1716) is inconsistent.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | (1717) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | (1718) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_58_4 = e2 & op(e3, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1719) implies:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_58_4 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (230), (1714), (1720), (function-axioms) are
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1899.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_58_5 = e2 & op(e2, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1722) op(e2, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1664), (1722), (function-axioms) are
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | (1723) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1723) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_58_8 = e2 & op(e1, e1) = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1724) implies:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_58_8 = e2
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1726) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_58_9 = e2 & op(e3, e0) = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1727) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) op(e3, e0) = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1717) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0 &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1729) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) op(e1, e2) = all_40_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) op(all_40_1, e1) = all_40_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_58_12 = e2 & op(e0, e3) = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1733) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) op(e0, e3) = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1734) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_52_3 = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_40_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1730) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_40_1 = e0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (1728) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_52_12 = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1735) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) ~ (all_52_7 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1735) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) ~ (all_52_11 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1739) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) ~ (all_52_11 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1731), (1736) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) op(e0, e1) = all_40_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) ~ (all_50_2 = e0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (1742) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) $false
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1743) is inconsistent.
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1745) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) ~ (all_36_0 = e3)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) op(e1, e2) = all_36_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) op(all_36_1, e1) = all_36_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1749) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) ~ (all_50_0 = e1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) op(e3, e0) = all_50_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) op(all_50_1, e3) = all_50_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1617) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1753) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) op(e3, e0) = all_16_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) op(all_16_1, e3) = all_16_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e0, simplifying with (157), (1741)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_52_11 = all_40_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1747) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_36_1 = e0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1728), (1751) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_50_1 = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (1751), (1754)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_50_1 = all_16_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1758), (1759) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_16_1 = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1760) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_16_1 = e2
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1756) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_54_14 = all_40_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1756) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) ~ (all_52_8 = all_40_0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1740), (1756) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) ~ (all_40_0 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1649), (1756) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_40_0 = e0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1752), (1758) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) op(e2, e3) = all_50_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1748), (1757) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) op(e0, e1) = all_36_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1755), (1761) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) op(e2, e3) = all_16_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_0,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e1, e0, simplifying with (1741), (1767)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_40_0 = all_36_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e3, e2, simplifying with (167), (1768)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_52_1 = all_16_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (1766)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_52_1 = all_50_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1770), (1771) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_50_0 = all_16_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1762), (1769) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_54_14 = all_36_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1770) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_54_4 = all_16_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1770) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) ~ (all_52_2 = all_16_0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1775) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) ~ (all_52_2 = all_16_0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1683), (1770) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (all_16_0 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1770) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) ~ (all_16_0 = e0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1763), (1769) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) ~ (all_52_8 = all_36_0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1750), (1772) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) ~ (all_16_0 = e1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1764), (1769) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) ~ (all_36_0 = e2)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1765), (1769) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_36_0 = e0)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_54_4 = e3
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1774), (1783) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_16_0 = e3
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1776), (1784) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) ~ (all_52_2 = e3)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1768), (1784) imply:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) op(e2, e3) = e3
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (213), (214), (226),
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621), (1658), (1664), (1669), (1672), (1684),
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712), (1714), (1728), (1734), (1746), (1773),
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779), (1781), (1782), (1785), (1786),
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1774), (1777), (1778), (1780), (1787) are
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1886.
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1788) implies:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) ~ (all_16_1 = e1)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) op(e3, e0) = all_16_1
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e0, simplifying with (157), (1741)
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_52_11 = all_40_0
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 229.74/42.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1747) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_36_1 = e0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1728), (1751) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_50_1 = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (1751), (1790)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_50_1 = all_16_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1793), (1794) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_16_1 = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1795) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_16_1 = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1791) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_54_14 = all_40_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1791) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_52_8 = all_40_0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1740), (1791) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) ~ (all_40_0 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1649), (1791) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (all_40_0 = e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1752), (1793) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) op(e2, e3) = all_50_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1748), (1792) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) op(e0, e1) = all_36_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_0,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e1, e0, simplifying with (1741), (1802)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_40_0 = all_36_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (1801)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_52_1 = all_50_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1797), (1803) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_54_14 = all_36_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1804) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_54_4 = all_50_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1804) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_52_2 = all_50_0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1807) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) ~ (all_52_2 = all_50_0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1683), (1804) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ~ (all_50_0 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1804) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) ~ (all_50_0 = e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1798), (1803) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_52_8 = all_36_0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1799), (1803) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (all_36_0 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1800), (1803) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_36_0 = e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_54_4 = e3
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1806), (1814) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_50_0 = e3
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1808), (1815) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ~ (all_52_2 = e3)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1801), (1815) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) op(e2, e3) = e3
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (213), (214), (226),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621), (1658), (1664), (1669), (1672), (1684),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712), (1714), (1728), (1734), (1746), (1805),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811), (1812), (1813), (1816), (1817),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1887.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1750), (1806), (1809), (1810), (1818) are
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1819) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (all_50_1 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) op(e3, e0) = all_50_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1728), (1820), (1821), (function-axioms) are
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1822) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) ~ (all_36_1 = e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) op(e1, e2) = all_36_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1659), (1730), (1823), (1824), (function-axioms)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1883.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_58_13 = e2 & op(e0, e2) = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1825) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) op(e0, e2) = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1684), (1826), (function-axioms) are
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (230),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652), (1663), (1664), (1714), (1725), (1827),
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1882.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) ~ (all_40_1 = e3)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) op(e1, e2) = all_40_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_58_12 = e2 & op(e0, e3) = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1832) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) op(e0, e3) = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (1833) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) all_52_3 = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_40_1,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1830) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_40_1 = e0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (1728) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_52_12 = e2
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1834) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) ~ (all_52_7 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1834) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) ~ (all_52_11 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1838) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) ~ (all_52_11 = e2)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ~ (all_50_2 = e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (1840) imply:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) $false
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1841) is inconsistent.
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1709) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1843) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_36_0 = e3)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) op(e1, e2) = all_36_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) op(all_36_1, e1) = all_36_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1847) implies:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_50_0 = e1)
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) op(e3, e0) = all_50_1
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) op(all_50_1, e3) = all_50_0
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1617) gives:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 229.74/42.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1851) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) op(e3, e0) = all_16_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) op(all_16_1, e3) = all_16_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1845) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_36_1 = e0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1728), (1849) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_50_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (1849), (1852)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_50_1 = all_16_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1855), (1856) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_16_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1857) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_16_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1850), (1855) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) op(e2, e3) = all_50_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1846), (1854) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) op(e0, e1) = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1853), (1858) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e2, e3) = all_16_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e1, e0, simplifying with (157), (1860)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_52_11 = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e3, e2, simplifying with (167), (1861)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_52_1 = all_16_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (1859)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_52_1 = all_50_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1863), (1864) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_50_0 = all_16_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1862) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_54_14 = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1863) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_54_4 = all_16_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1863) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) ~ (all_52_2 = all_16_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1868) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_52_2 = all_16_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1683), (1863) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_16_0 = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1863) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) ~ (all_16_0 = e0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1862) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) ~ (all_52_8 = all_36_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1839), (1862) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) ~ (all_36_0 = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1649), (1862) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) ~ (all_36_0 = e0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1848), (1865) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_16_0 = e1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_54_4 = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1867), (1876) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_16_0 = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1869), (1877) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_52_2 = e3)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1861), (1877) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) op(e2, e3) = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (213), (214), (226),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621), (1664), (1669), (1672), (1684), (1712),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714), (1728), (1829), (1830), (1833), (1844),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845), (1866), (1872), (1873), (1874), (1878),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879), (function-axioms) are inconsistent by
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1867), (1870), (1871), (1875), (1880) are
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1886.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_16_1 = e1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) op(e3, e0) = all_16_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_36_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (1659), (1845) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_36_1 = e0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (1728), (1849) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_50_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (1849), (1883)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_50_1 = all_16_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1885), (1886) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_16_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1887) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_16_1 = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1850), (1885) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) op(e2, e3) = all_50_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1846), (1884) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) op(e0, e1) = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_36_0, e1, e0, simplifying with (157), (1890)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_52_11 = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (1889)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_52_1 = all_50_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (1891) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_54_14 = all_36_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (1892) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_54_4 = all_50_0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1892) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) ~ (all_52_2 = all_50_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1895) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_52_2 = all_50_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1683), (1892) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) ~ (all_50_0 = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1892) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) ~ (all_50_0 = e0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1891) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) ~ (all_52_8 = all_36_0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1839), (1891) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (all_36_0 = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1649), (1891) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_36_0 = e0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_54_4 = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1894), (1902) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_50_0 = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1896), (1903) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) ~ (all_52_2 = e3)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1889), (1903) imply:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) op(e2, e3) = e3
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (190), (213), (214), (226),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621), (1664), (1669), (1672), (1684), (1712),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714), (1728), (1829), (1830), (1833), (1844),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845), (1893), (1899), (1900), (1901), (1904),
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905), (function-axioms) are inconsistent by
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1881.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1848), (1894), (1897), (1898), (1906) are
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1885.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1907) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_50_1 = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) op(e3, e0) = all_50_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1728), (1908), (1909), (function-axioms) are
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1910) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) ~ (all_36_1 = e0)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) op(e1, e2) = all_36_1
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1659), (1830), (1911), (1912), (function-axioms)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1883.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_58_13 = e2 & op(e0, e2) = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1913) implies:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) op(e0, e2) = e2
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1684), (1914), (function-axioms) are
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.74/42.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (230),
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652), (1663), (1664), (1714), (1725), (1915),
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1882.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_58_10 = e2 & op(e2, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1916) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) op(e2, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (1685), (1917), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2317.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1918) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1918) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_58_11 = e2 & op(e1, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1919) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_58_11 = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) op(e1, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_58_6 = e1 & op(e1, e3) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1923) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_58_6 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) op(e1, e3) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (223), (226), (1714),
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920), (1924), (1925), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2028.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_58_7 = e1 & op(e1, e2) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1926) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_58_7 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) op(e1, e2) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (162), (223), (226),
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714), (1920), (1927), (1928), (function-axioms)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2106.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1714), (1921), (1929), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1880.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_58_15 = e2 & op(e0, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1930) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) op(e0, e0) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1652), (1931), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_58_14 = e2 & op(e0, e1) = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1932) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_58_14 = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1934) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (165), (228), (1663), (1664),
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1714), (1933), (1934), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1878.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1935) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1714), (1933), (1935), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2116.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | (1936) all_54_5 = e1 | all_54_5 = e0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (1676), (1936) are inconsistent by
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | sub-proof #2300.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1937) all_22_2 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1938) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1937) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1939) all_8_2 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (1939) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1940) all_30_2 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1939) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1941) all_56_11 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | REDUCE: (369), (1939) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1942) ~ (all_52_4 = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | REDUCE: (373), (1939) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | (1943) ~ (all_52_7 = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | (1944) ~ (all_30_2 = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | REDUCE: (1940), (1944) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | (1945) $false
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | CLOSE: (1945) is inconsistent.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | (1946) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | (1947) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | ALPHA: (1947) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | (1948) op(e2, e1) = all_30_1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | (1949) op(all_30_1, e2) = all_30_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | (1950) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1951) all_58_1 = e1 & op(e3, e2) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1951) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1952) op(e3, e2) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1942), (1952), (function-axioms) are
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2228.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1953) all_58_3 = e1 & op(e2, e2) = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1953) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1954) all_58_3 = e1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1664), (1948) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1955) all_30_1 = e0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1949), (1955) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | (1956) op(e0, e2) = all_30_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1957) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1957) implies:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1958) ~ (all_22_0 = e3)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1959) op(e2, e1) = all_22_1
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1960) op(all_22_1, e2) = all_22_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e0, simplifying with (158), (1956)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1961) all_52_7 = all_30_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_1,
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1664), (1959) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1962) all_22_1 = e0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (1961) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1963) all_54_13 = all_30_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1961) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1964) ~ (all_52_3 = all_30_0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1961) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1965) ~ (all_52_4 = all_30_0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1943), (1961) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_30_0 = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1648), (1961) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_30_0 = e0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1960), (1962) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1968) op(e0, e2) = all_22_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_30_0,
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e0, simplifying with (1956), (1968)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1969) all_30_0 = all_22_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1963), (1969) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1970) all_54_13 = all_22_0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1964), (1969) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1971) ~ (all_52_3 = all_22_0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1965), (1969) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1972) ~ (all_52_4 = all_22_0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1966), (1969) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1973) ~ (all_22_0 = e1)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1967), (1969) imply:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | (1974) ~ (all_22_0 = e0)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_54_13 = e3
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1958), (1970), (1975) are inconsistent by
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1877.
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_54_13 = e3)
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1977) gives:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_54_13 = e2
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1970), (1978) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_22_0 = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1979) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_22_0 = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1971), (1980) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1981) ~ (all_52_3 = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1972), (1980) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1982) ~ (all_52_4 = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1968), (1980) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1983) op(e0, e2) = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_54_1 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (1984) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_52_4 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_52_4 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1986) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) ~ (all_52_8 = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1987) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) ~ (all_52_8 = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (1986) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) op(e3, e2) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1990) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_58_4 = e3 & op(e3, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) op(e3, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (1988), (1992), (function-axioms) are
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_58_5 = e3 & op(e2, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1993) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) op(e2, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1948), (1949), (1958), (1959), (1960), (1989),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994), (function-axioms) are inconsistent by
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1875.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_58_8 = e3 & op(e1, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (1996), (function-axioms) are
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_58_14 = e3 & op(e0, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1997) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_58_14 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) op(e0, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2000) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_58_12 = e1 & op(e0, e3) = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2001) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) op(e0, e3) = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) op(e3, e2) = all_56_9
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) op(e3, all_56_9) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (163),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (216), (217), (218), (219), (239), (1622),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623), (1624), (1649), (1652), (1664), (1946),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958), (1959), (1960), (1989), (1998), (2005),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006), (function-axioms) are inconsistent by
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1859.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_56_10 = e2 & op(e2, all_56_11) = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2007) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) op(e2, all_56_11) = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1941), (2008) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) op(e2, e1) = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1664), (2009), (function-axioms) are
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2010) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2011) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) op(e1, e2) = all_56_13
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) op(e1, all_56_13) = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (1999) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_52_11 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2002) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_52_3 = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (1659), (2012)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_56_13 = e0
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2015) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) ~ (all_52_1 = e1)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2015) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) ~ (all_52_2 = e1)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1981), (2015) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) ~ (e2 = e1)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2014) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (all_6_2 = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2013), (2016) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) op(e1, e0) = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) ~ (all_36_2 = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (2022) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) ~ (all_6_2 = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (194), (297), (385), (391), (1630), (2021),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023), (function-axioms) are inconsistent by
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1858.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_36_2 = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (2024) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_6_2 = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2025) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) ~ (all_52_2 = e2)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2025) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) op(e1, e1) = e2
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_54_8 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (2028) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_52_2 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2029) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_52_2 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2030) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) ~ (all_52_1 = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_58_2 = e3 & op(e2, e3) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2033) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) op(e2, e3) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2031), (2034), (function-axioms) are
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_58_3 = e3 & op(e2, e2) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2035) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_58_3 = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1954), (2036) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) e3 = e1
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2037) imply:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) $false
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2038) is inconsistent.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2039) gives:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_58_5 = e3 & op(e2, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2040) implies:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) op(e2, e1) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1948), (1949), (1958), (1959), (1960), (1989),
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041), (function-axioms) are inconsistent by
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1875.
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_58_10 = e3 & op(e2, e0) = e3
% 229.74/42.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (110), (112), (113), (118),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (125), (133), (139), (140), (141), (144),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (163),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (170), (190), (192),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (196), (197), (200), (201), (213), (214),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (244), (255), (257),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (268), (269), (279), (280), (297), (381),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385), (391), (1621), (1622), (1623), (1624),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627), (1628), (1630), (1647), (1649), (1652),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664), (1669), (1672), (1941), (1983), (1989),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999), (2017), (2018), (2021), (2026), (2027),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042), (function-axioms) are inconsistent by
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (1623), (2018), (2026), (2043) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2044) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) op(e0, e2) = all_56_15
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) op(e0, all_56_15) = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1983), (2045), (2046), (function-axioms) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2053.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_58_13 = e1 & op(e0, e2) = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1943), (2047), (function-axioms) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1652), (1998), (2048),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1625), (1942), (1982), (2049) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_54_13 = e1 | all_54_13 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1970), (1973), (1974), (2050) are inconsistent by
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1842.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2051) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2051) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2052) ~ (all_22_1 = e0)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2053) op(e2, e1) = all_22_1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1664), (1948), (2052), (2053), (function-axioms)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1841.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | (2054) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (162), (1659), (1943), (2054),
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | #1840.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | (2055) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | (2056) ~ (all_30_1 = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | (2057) op(e2, e1) = all_30_1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | (2058) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2058) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | (2059) all_58_1 = e1 & op(e3, e2) = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2059) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | (2060) op(e3, e2) = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (1942), (2060), (function-axioms) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2228.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | (2061) all_58_3 = e1 & op(e2, e2) = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2061) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | (2062) all_58_3 = e1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1664), (2057) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | (2063) all_30_1 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2064) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2064) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2065) ~ (all_22_0 = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2066) op(e2, e1) = all_22_1
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2067) op(all_22_1, e2) = all_22_0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_22_1,
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1664), (2066) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2068) all_22_1 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2067), (2068) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2069) op(e0, e2) = all_22_0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e0, simplifying with (158), (2069)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2070) all_52_7 = all_22_0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2070) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2071) all_54_13 = all_22_0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2070) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2072) ~ (all_52_3 = all_22_0)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2070) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2073) ~ (all_52_4 = all_22_0)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1943), (2070) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2074) ~ (all_22_0 = e1)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1648), (2070) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | (2075) ~ (all_22_0 = e0)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_54_13 = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2065), (2071), (2076) are inconsistent by
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1877.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (2077) ~ (all_54_13 = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | (2078) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2078) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_54_13 = e2
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2071), (2079) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_22_0 = e2
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2080) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_22_0 = e2
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2072), (2081) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2082) ~ (all_52_3 = e2)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2073), (2081) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2083) ~ (all_52_4 = e2)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2069), (2081) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | (2084) op(e0, e2) = e2
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) all_54_1 = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (2085) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_52_4 = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2086) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_52_4 = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2087) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_52_8 = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2088) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (all_52_8 = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (2087) imply:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) op(e3, e2) = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_58_4 = e3 & op(e3, e1) = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2092) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) op(e3, e1) = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (2089), (2093), (function-axioms) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_58_5 = e3 & op(e2, e1) = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2094) implies:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) op(e2, e1) = e3
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2056), (2057), (2095), (function-axioms) are
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2096) gives:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_58_8 = e3 & op(e1, e1) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (2097), (function-axioms) are
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_58_14 = e3 & op(e0, e1) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2098) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) all_58_14 = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) op(e0, e1) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2101) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_58_12 = e1 & op(e0, e3) = e1
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2102) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) op(e0, e3) = e1
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2105) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) op(e3, e2) = all_56_9
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) op(e3, all_56_9) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (163),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (216), (217), (218), (219), (239), (1622),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623), (1624), (1649), (1652), (1664), (1946),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065), (2066), (2067), (2090), (2099), (2106),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107), (function-axioms) are inconsistent by
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1859.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_56_10 = e2 & op(e2, all_56_11) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2108) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) op(e2, all_56_11) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1941), (2109) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) op(e2, e1) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1664), (2110), (function-axioms) are
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2111) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2112) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) op(e1, e2) = all_56_13
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) op(e1, all_56_13) = e1
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (2100) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_52_11 = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (2103) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) all_52_3 = e1
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (1659), (2113)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_56_13 = e0
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2116) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) ~ (all_52_1 = e1)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2116) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) ~ (all_52_2 = e1)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2115), (2116) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) ~ (e3 = e1)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2082), (2116) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) ~ (e2 = e1)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2115) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) ~ (all_6_2 = e3)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2114), (2117) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) op(e1, e0) = e1
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) ~ (all_36_2 = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (2124) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) ~ (all_6_2 = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (194), (297), (385), (391), (1630), (2123),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125), (function-axioms) are inconsistent by
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1858.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_36_2 = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (2126) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) all_6_2 = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2127) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) all_6_2 = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (2128) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) ~ (all_52_2 = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (2128) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) ~ (e3 = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2128) imply:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) op(e1, e1) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_58_0 = e2 & op(e3, e3) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2133) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) op(e3, e3) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (1628), (2134), (function-axioms) are
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) all_58_2 = e2 & op(e2, e3) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2135) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) op(e2, e3) = e2
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_58_2 = e3 & op(e2, e3) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2138) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) op(e2, e3) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2136), (2139), (function-axioms) are
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) all_58_3 = e3 & op(e2, e2) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2140) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_58_3 = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2062), (2141) are inconsistent by sub-proof
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1999.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_58_5 = e3 & op(e2, e1) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2143) implies:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) op(e2, e1) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2056), (2057), (2144), (function-axioms) are
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_58_10 = e3 & op(e2, e0) = e3
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (110), (112), (113), (118),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (125), (133), (139), (140), (141), (144),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (145), (149), (157), (158), (159), (160), (163),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (170), (190), (192),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (194), (196), (197), (200), (201), (213), (214),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (244), (255), (257),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (268), (269), (279), (280), (297), (381),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (385), (391), (1621), (1622), (1623), (1624),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627), (1628), (1630), (1647), (1649), (1652),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664), (1669), (1672), (1941), (2084), (2090),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100), (2118), (2119), (2123), (2129), (2131),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145), (function-axioms) are inconsistent by
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1845.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (159), (223), (226),
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082), (2123), (2131), (2146), (function-axioms)
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1834.
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2147) implies:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) op(e0, e2) = all_56_15
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) op(e0, all_56_15) = e0
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2084), (2148), (2149), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2053.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_58_13 = e1 & op(e0, e2) = e1
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (1943), (2150), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (1652), (2099), (2151),
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1843.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (1625), (1942), (2083), (2152) are
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_54_13 = e1 | all_54_13 = e0
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2071), (2074), (2075), (2153) are inconsistent by
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1842.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2154) implies:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | (2155) ~ (all_22_1 = e0)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | (2156) op(e2, e1) = all_22_1
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1664), (2057), (2155), (2156), (function-axioms)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1841.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | (2157) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (162), (1659), (1943), (2157),
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | | #1840.
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | (2158) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 229.74/42.65 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (1630), (1649), (2158),
% 229.74/42.65 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.65 | | | | | | | | | | | | | | | | #1832.
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | (2159) all_58_13 = e0 & op(e0, e2) = e0
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | ALPHA: (2159) implies:
% 229.74/42.65 | | | | | | | | | | | | | | | (2160) op(e0, e2) = e0
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | REF_CLOSE: (158), (1648), (2160), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | | | | inconsistent by sub-proof #2252.
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | (2161) all_20_2 = e1
% 229.74/42.65 | | | | | | | | | | (2162) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 229.74/42.65 | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 229.74/42.65 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 229.74/42.65 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | COMBINE_EQS: (341), (2161) imply:
% 229.74/42.65 | | | | | | | | | | (2163) all_4_2 = e1
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | SIMP: (2163) implies:
% 229.74/42.65 | | | | | | | | | | (2164) all_4_2 = e1
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | COMBINE_EQS: (324), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2165) all_34_2 = e1
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | COMBINE_EQS: (254), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2166) all_56_31 = e1
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | REDUCE: (368), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2167) ~ (all_52_3 = e1)
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | REDUCE: (379), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2168) ~ (all_52_7 = e1)
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | REDUCE: (387), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2169) ~ (all_52_12 = e1)
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | REDUCE: (388), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2170) ~ (all_52_13 = e1)
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | REDUCE: (389), (2164) imply:
% 229.74/42.65 | | | | | | | | | | (2171) ~ (all_52_14 = e1)
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | BETA: splitting (220) gives:
% 229.74/42.65 | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | (2172) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 229.74/42.65 | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | BETA: splitting (2172) gives:
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | (2173) all_58_9 = e1 & op(e3, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | REF_CLOSE: (168), (2169), (2173), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | (2174) all_58_10 = e1 & op(e2, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | REF_CLOSE: (164), (2170), (2174), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | End of split
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | (2175) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 229.74/42.65 | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | BETA: splitting (2175) gives:
% 229.74/42.65 | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | (2176) all_58_11 = e1 & op(e1, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | ALPHA: (2176) implies:
% 229.74/42.65 | | | | | | | | | | | | (2177) op(e1, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | REF_CLOSE: (160), (2171), (2177), (function-axioms) are
% 229.74/42.65 | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | (2178) all_58_15 = e1 & op(e0, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | ALPHA: (2178) implies:
% 229.74/42.65 | | | | | | | | | | | | (2179) all_58_15 = e1
% 229.74/42.65 | | | | | | | | | | | | (2180) op(e0, e0) = e1
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | BETA: splitting (64) gives:
% 229.74/42.65 | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | (2181) ~ (all_22_2 = e1)
% 229.74/42.65 | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | REDUCE: (326), (2181) imply:
% 229.74/42.65 | | | | | | | | | | | | | (2182) ~ (all_8_2 = e1)
% 229.74/42.65 | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 229.74/42.65 | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | (2183) all_54_5 = e3
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | COMBINE_EQS: (275), (2183) imply:
% 229.74/42.65 | | | | | | | | | | | | | | (2184) all_8_2 = e3
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | REDUCE: (392), (2184) imply:
% 229.74/42.65 | | | | | | | | | | | | | | (2185) $false
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | CLOSE: (2185) is inconsistent.
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | (2186) ~ (all_54_5 = e3)
% 229.74/42.65 | | | | | | | | | | | | | | (2187) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | BETA: splitting (2187) gives:
% 229.74/42.65 | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | (2188) all_54_5 = e2
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (2188) imply:
% 229.74/42.65 | | | | | | | | | | | | | | | (2189) all_8_2 = e2
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (2189) imply:
% 229.74/42.65 | | | | | | | | | | | | | | | (2190) all_56_11 = e2
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | REDUCE: (366), (2189) imply:
% 229.74/42.65 | | | | | | | | | | | | | | | (2191) ~ (all_52_1 = e2)
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | REDUCE: (373), (2189) imply:
% 229.74/42.65 | | | | | | | | | | | | | | | (2192) ~ (all_52_7 = e2)
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | REDUCE: (375), (2189) imply:
% 229.74/42.65 | | | | | | | | | | | | | | | (2193) ~ (all_52_9 = e2)
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 229.74/42.65 | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | (2194) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.65 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.65 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.65 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.65 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.65 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.65 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.65 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.65 | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.65 | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 229.74/42.65 | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 229.74/42.65 | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 229.74/42.65 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | BETA: splitting (2194) gives:
% 229.74/42.65 | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.65 | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | (2195) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 229.74/42.65 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.65 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.65 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 229.74/42.65 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.65 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 229.74/42.65 | | | | | | | | | | | | | | | | | = e3)
% 229.74/42.65 | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2166), (2190), (2191), (2195),
% 229.74/42.65 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.65 | | | | | | | | | | | | | | | | | #1831.
% 229.74/42.65 | | | | | | | | | | | | | | | | |
% 229.74/42.65 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.65 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | (2196) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 229.74/42.66 | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | BETA: splitting (2196) gives:
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2197) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 229.74/42.66 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e3) = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | ALPHA: (2197) implies:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2198) ~ (all_56_31 = e3)
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2199) ~ (all_56_21 = e3)
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2200) ~ (all_56_1 = e3)
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2201) op(e1, e3) = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2202) op(e3, e1) = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REDUCE: (1621), (2200) imply:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2203) ~ (e3 = e0)
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REDUCE: (2166), (2198) imply:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2204) ~ (e3 = e1)
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2201) gives:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2205) all_52_2 = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2202) gives:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2206) all_52_8 = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REDUCE: (149), (2205) imply:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2207) ~ (all_52_1 = e1)
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REDUCE: (134), (2206) imply:
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2208) ~ (all_52_4 = e1)
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (42), (123), (126), (148),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (168), (169), (170), (194), (199), (213), (218),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (275),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (297), (375), (381), (391), (392), (397), (1630),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2166), (2168), (2170), (2179), (2182), (2207),
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2208), (function-axioms) are inconsistent by
% 229.74/42.66 | | | | | | | | | | | | | | | | | | sub-proof #1830.
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | (2209) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 229.74/42.66 | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1621), (1624), (2209), (function-axioms)
% 229.74/42.66 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1829.
% 229.74/42.66 | | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | (2210) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.66 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.66 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.66 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.66 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.66 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.66 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.66 | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 229.74/42.66 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 229.74/42.66 | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 229.74/42.66 | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 229.74/42.66 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 229.74/42.66 | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | BETA: splitting (2210) gives:
% 229.74/42.66 | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | Case 1:
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | (2211) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 229.74/42.66 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 229.74/42.66 | | | | | | | | | | | | | | | | | = e2)
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (2190), (2192), (2193), (2211),
% 229.74/42.66 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.66 | | | | | | | | | | | | | | | | | #2325.
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | (2212) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 229.74/42.66 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 229.74/42.66 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 229.74/42.66 | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 229.74/42.66 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 229.74/42.66 | | | | | | | | | | | | | | | | | = e0)
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2166), (2171), (2190), (2212),
% 229.74/42.66 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.66 | | | | | | | | | | | | | | | | | #2268.
% 229.74/42.66 | | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | (2213) all_54_5 = e1 | all_54_5 = e0
% 229.74/42.66 | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (2182), (2213) are inconsistent by
% 229.74/42.66 | | | | | | | | | | | | | | | sub-proof #2300.
% 229.74/42.66 | | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | End of split
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | (2214) all_22_2 = e1
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | COMBINE_EQS: (326), (2214) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2215) all_8_2 = e1
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | SIMP: (2215) implies:
% 229.74/42.66 | | | | | | | | | | | | | (2216) all_8_2 = e1
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | COMBINE_EQS: (347), (2216) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2217) all_30_2 = e1
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | REDUCE: (366), (2216) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2218) ~ (all_52_1 = e1)
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | REDUCE: (369), (2216) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2219) ~ (all_52_4 = e1)
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | REDUCE: (392), (2216) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2220) ~ (e3 = e1)
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | REDUCE: (42), (2216) imply:
% 229.74/42.66 | | | | | | | | | | | | | (2221) op(e2, e2) = e1
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | BETA: splitting (241) gives:
% 229.74/42.66 | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | Case 1:
% 229.74/42.66 | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | (2222) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 229.74/42.66 | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 229.74/42.66 | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (1628), (2218), (2222),
% 229.74/42.66 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 229.74/42.66 | | | | | | | | | | | | | | #1827.
% 229.74/42.66 | | | | | | | | | | | | | |
% 229.74/42.66 | | | | | | | | | | | | | Case 2:
% 229.74/42.66 | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | (2223) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 230.38/42.66 | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 230.38/42.66 | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | BETA: splitting (2223) gives:
% 230.38/42.66 | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | Case 1:
% 230.38/42.66 | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | (2224) all_58_6 = e1 & op(e1, e3) = e1
% 230.38/42.66 | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | ALPHA: (2224) implies:
% 230.38/42.66 | | | | | | | | | | | | | | | (2225) all_58_6 = e1
% 230.38/42.66 | | | | | | | | | | | | | | | (2226) op(e1, e3) = e1
% 230.38/42.66 | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 230.38/42.66 | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | Case 1:
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | (2227) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1628), (2219), (2227),
% 230.38/42.66 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.66 | | | | | | | | | | | | | | | | #1826.
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | Case 2:
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | (2228) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 230.38/42.66 | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2229) all_58_4 = e1 & op(e3, e1) = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | ALPHA: (2229) implies:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2230) op(e3, e1) = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 230.38/42.66 | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2226) gives:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2231) all_52_2 = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 230.38/42.66 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2230) gives:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2232) all_52_8 = e1
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | REDUCE: (144), (2231) imply:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2233) ~ (all_52_3 = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | REDUCE: (143), (2231) imply:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2234) ~ (all_52_6 = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | SIMP: (2234) implies:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2235) ~ (all_52_6 = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | REDUCE: (123), (2232) imply:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2236) ~ (all_52_9 = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | SIMP: (2236) implies:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2237) ~ (all_52_9 = e1)
% 230.38/42.66 | | | | | | | | | | | | | | | | |
% 230.38/42.66 | | | | | | | | | | | | | | | | | REDUCE: (121), (2232) imply:
% 230.38/42.66 | | | | | | | | | | | | | | | | | (2238) ~ (all_52_11 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | SIMP: (2238) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | (2239) ~ (all_52_11 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | REDUCE: (120), (2232) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | (2240) ~ (all_52_12 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | REDUCE: (380), (2232) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | (2241) ~ (all_6_2 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | SIMP: (2241) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | (2242) ~ (all_6_2 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | (2243) all_54_10 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (2243) are inconsistent by sub-proof
% 230.38/42.67 | | | | | | | | | | | | | | | | | | #2313.
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | (2244) ~ (all_54_10 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | (2245) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2246) all_54_10 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (2246) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2247) all_6_2 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | SIMP: (2247) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2248) all_6_2 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (2248) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2249) all_56_21 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | REDUCE: (381), (2248) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2250) ~ (all_52_9 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | REDUCE: (383), (2248) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2251) ~ (all_52_11 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | REDUCE: (391), (2248) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2252) ~ (e3 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2248) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | (2253) op(e1, e1) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | (2254) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2254) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2255) all_58_6 = e2 & op(e1, e3) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2255) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2256) op(e1, e3) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2226), (2256), (function-axioms) are
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2257) all_58_7 = e2 & op(e1, e2) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2257) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2258) all_58_7 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2259) op(e1, e2) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (225), (226), (2225), (2253), (2258), (2259),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | #2200.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | (2260) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2260) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2261) all_58_8 = e2 & op(e1, e1) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2261) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | (2262) all_58_8 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | (2263) ~ (all_30_2 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2217), (2263) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | (2264) $false
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2264) is inconsistent.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | (2265) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | (2266) ~ (all_34_2 = e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2165), (2266) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | (2267) $false
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2267) is inconsistent.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | (2268) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | (2269) ~ (all_50_2 = e0)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (2269) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | (2271) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_54_4 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2272) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_52_1 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2273) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_52_1 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2274) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_52_3 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2275) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2276) ~ (all_52_3 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2274) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_52_9 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2277) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_52_9 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2274) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2279) ~ (all_52_13 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2279) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2280) ~ (all_52_13 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2274) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | (2281) op(e2, e3) = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_58_2 = e2 & op(e2, e3) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2283) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) op(e2, e3) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2281), (2284), (function-axioms) are
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_58_3 = e2 & op(e2, e2) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2285) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) op(e2, e2) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (123), (126),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (1630), (2166), (2168), (2170),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179), (2218), (2219), (2250), (2286),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2105.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2287) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_58_5 = e2 & op(e2, e1) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2288) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) op(e2, e1) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (297), (381), (1630), (2242), (2245),
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289), (function-axioms) are inconsistent by
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2198.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_58_10 = e2 & op(e2, e0) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2290) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) op(e2, e0) = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_54_6 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2278), (2292) are inconsistent by
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) ~ (all_54_6 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_54_12 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (2295) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_52_3 = e3
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2276), (2296) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) $false
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2297) is inconsistent.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) ~ (all_54_12 = e3)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2299) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_54_12 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (2300) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_52_3 = e2
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2301) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) ~ (all_52_7 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2302) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) ~ (all_52_7 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2301) imply:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) ~ (all_52_11 = e2)
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_58_15 = e0 & op(e0, e0) = e0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2305) implies:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) op(e0, e0) = e0
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (2180), (2306), (function-axioms) are
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2308) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_58_9 = e0 & op(e3, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) op(e3, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (1627), (2310), (function-axioms) are
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2311) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_58_10 = e0 & op(e2, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2312) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) op(e2, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2291), (2313), (function-axioms) are
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_58_11 = e0 & op(e1, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2314) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_58_11 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) op(e1, e0) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_58_6 = e3 & op(e1, e3) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2318) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) op(e1, e3) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2226), (2319), (function-axioms) are
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_58_7 = e3 & op(e1, e2) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2320) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) op(e1, e2) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1628), (2281), (2322),
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1824.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_58_6 = e2 & op(e1, e3) = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) op(e1, e3) = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2226), (2325), (function-axioms) are
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_58_12 = e2 & op(e0, e3) = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2326) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_58_12 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) op(e0, e3) = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2294) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_54_6 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2250), (2329) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) ~ (all_54_6 = e2)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_54_6 = e1 | all_54_6 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (2230), (2278), (2332),
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1821.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2333) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_58_8 = e3 & op(e1, e1) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2334) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) op(e1, e1) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2253), (2335), (function-axioms) are
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_58_14 = e3 & op(e0, e1) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_58_14 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_54_6 = e1
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2237), (2338) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_54_6 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2339) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_52_9 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2340) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_52_9 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2341) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) ~ (all_52_11 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2342) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) ~ (all_52_11 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2341) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) ~ (all_52_13 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2344) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) ~ (all_52_13 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2250), (2341) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) ~ (e2 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2237), (2341) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) ~ (e1 = e0)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2341) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) op(e2, e1) = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_54_14 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2349) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_52_11 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_52_11 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2351) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) ~ (all_52_7 = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (2351) imply:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) op(e0, e1) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2354) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) op(e0, e1) = all_20_1
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_58_1 = e2 & op(e3, e2) = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2357) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_58_1 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2359) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2360) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) op(e3, e1) = all_56_17
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) op(e3, all_56_17) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2363) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_58_9 = e3 & op(e3, e0) = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2364) implies:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_58_9 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_54_13 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2352), (2366) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) ~ (all_54_13 = e3)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2368) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_54_13 = e2
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2303), (2369) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2009.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) ~ (all_54_13 = e2)
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_54_13 = e1 | all_54_13 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_54_7 = e3
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2280), (2372) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2371) gives:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_54_13 = e1
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2168), (2374) are inconsistent by
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1966.
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_54_13 = e0
% 230.38/42.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2375) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_52_7 = e0
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2376) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_52_7 = e0
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2377) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_52_6 = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2373) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_54_7 = e2
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (2379) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_52_13 = e2
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2380) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_52_13 = e2
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2381) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) ~ (all_52_12 = e2)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_54_9 = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (2383) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_52_6 = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2384) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_52_6 = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2385) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) ~ (all_52_4 = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_54_1 = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (2386), (2387) are inconsistent by
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) ~ (all_54_1 = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2391) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2392) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) op(e3, e2) = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (2386), (2393), (function-axioms) are
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2395) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) op(e2, e3) = e2
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (145), (167), (197), (201), (269), (280),
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627), (2169), (2170), (2345), (2382), (2396),
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2285.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2397) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) op(e1, e3) = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2226), (2398), (function-axioms) are
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2400) implies:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_56_17 = e1
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_56_1 = e3)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1621), (2402) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) ~ (e3 = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2362), (2401) imply:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) op(e3, e1) = e3
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (191), (256), (1628), (2303), (2352), (2361),
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362), (2404), (function-axioms) are inconsistent
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1820.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (2276), (2328), (2405),
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1819.
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2407) gives:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2408) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) op(e2, e1) = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2348), (2409), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2410) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2411) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) op(e2, e1) = e1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (2348), (2412), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2165.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2413) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) op(e0, e2) = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (191), (256), (282), (1625), (2168),
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219), (2352), (2389), (2414), (function-axioms)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1815.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2415) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2416) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) op(e2, e0) = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2345), (2417), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2418) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2419) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) op(e1, e0) = e1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (2291), (2308), (2365), (2420),
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2101.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2421) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) op(e0, e1) = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2343), (2422), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1911.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) ~ (all_54_9 = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (2423) imply:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) ~ (all_52_6 = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2321), (2424), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_54_7 = e1 | all_54_7 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2170), (2345), (2425) are inconsistent by
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_58_10 = e3 & op(e2, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2426) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) op(e2, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2291), (2427), (function-axioms) are
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2428) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) all_58_11 = e3 & op(e1, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2315), (2429) are inconsistent by sub-proof
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2091.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_58_15 = e3 & op(e0, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (2179), (2327), (2337),
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352), (2430), (function-axioms) are inconsistent
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1813.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2431) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) op(e2, e1) = all_56_19
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) op(e2, all_56_19) = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_58_9 = e3 & op(e3, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2435) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_58_9 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) op(e3, e0) = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_54_13 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2352), (2438) are inconsistent by
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) ~ (all_54_13 = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_54_13 = e2
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2303), (2441) are inconsistent by
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2009.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_54_13 = e1 | all_54_13 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2442) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_54_13 = e1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2168), (2443) are inconsistent by
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1966.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_54_13 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2444) imply:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_52_7 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2445) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_52_7 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2446) imply:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) ~ (all_52_6 = e0)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_54_9 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (2448) imply:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_52_6 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2449) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_52_6 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2450) imply:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) ~ (all_52_4 = e3)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_54_1 = e3
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (2451), (2452) are inconsistent by
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2265) gives:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2454) implies:
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) op(e2, e1) = all_30_1
% 230.38/42.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (157), (158), (159), (162), (163),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (210), (235), (236), (238), (239),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (1622), (1623), (1624), (1625), (2166),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219), (2268), (2271), (2291), (2308), (2316),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343), (2348), (2352), (2353), (2355), (2358),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432), (2433), (2436), (2437), (2453), (2455),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2456) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) op(e2, e1) = all_30_1
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (157), (158), (159), (162), (163),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (210), (235), (236), (238), (239),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (1622), (1623), (1624), (1625), (2166),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219), (2268), (2271), (2291), (2308), (2316),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343), (2348), (2352), (2353), (2355), (2358),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432), (2433), (2436), (2437), (2453), (2457),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1808.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) ~ (all_54_9 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (2458) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_52_6 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (2321), (2459), (function-axioms) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_58_10 = e3 & op(e2, e0) = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2460) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) op(e2, e0) = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2291), (2461), (function-axioms) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2462) gives:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_58_11 = e3 & op(e1, e0) = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2315), (2463) are inconsistent by sub-proof
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2091.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) all_58_15 = e3 & op(e0, e0) = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (2179), (2327), (2337),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352), (2464), (function-axioms) are inconsistent
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1813.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2465) gives:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_56_20 = e1 & op(e1, all_56_21) = e1
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2466) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) op(e1, all_56_21) = e1
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2249), (2467) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) op(e1, e2) = e1
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2321), (2468), (function-axioms) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2094.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (257), (1624), (2162), (2167), (2268),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299), (2353), (2469), (function-axioms) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1804.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_58_3 = e2 & op(e2, e2) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2470) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) op(e2, e2) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (123), (126),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (158), (159), (160), (162), (164), (165),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (194), (213), (218),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (297),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (391), (1630), (2166), (2168), (2170),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179), (2218), (2219), (2250), (2471),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2105.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2472) gives:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_58_7 = e2 & op(e1, e2) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2473) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_58_7 = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (224), (226),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225), (2253), (2262), (2474), (function-axioms)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1799.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_58_13 = e2 & op(e0, e2) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2475) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) op(e0, e2) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (191), (256), (2168), (2303), (2352),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (function-axioms) are inconsistent by
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1816.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2268), (2353), (2477), (function-axioms) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1805.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2239), (2251), (2343), (2478) are
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (2253), (2315), (2479),
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1797.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_54_12 = e1 | all_54_12 = e0
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2167), (2480) are inconsistent by
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2067.
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2481) ~ (all_54_4 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (2481) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | (2483) ~ (all_52_1 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_54_4 = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2484) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_52_1 = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2485) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) all_52_1 = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2486) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) ~ (all_52_3 = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2487) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) ~ (all_52_3 = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2486) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) ~ (all_52_9 = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (2486) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) ~ (all_52_13 = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2490) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) ~ (all_52_13 = e2)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2486) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) op(e2, e3) = e2
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_54_12 = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (2493) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) all_52_3 = e3
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2494) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) ~ (all_52_7 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) ~ (all_52_7 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2494) imply:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) ~ (all_52_11 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2497) implies:
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) ~ (all_52_11 = e3)
% 230.38/42.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2494) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) op(e0, e3) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2500) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) all_58_9 = e2 & op(e3, e0) = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2501) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) op(e3, e0) = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) all_54_14 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2498), (2503) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (1621), (2221), (2271), (2492), (2502),
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505), (function-axioms) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1795.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2506) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2507) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) op(e1, e3) = all_56_5
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) op(e1, all_56_5) = e1
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2510) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) all_58_0 = e3 & op(e3, e3) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2511) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) op(e3, e3) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (1622), (1623),
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624), (2512), (function-axioms) are inconsistent
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_58_1 = e3 & op(e3, e2) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2513) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) op(e3, e2) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2504) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) all_54_14 = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2251), (2515) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1856.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) all_54_14 = e1 | all_54_14 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_58_6 = e3 & op(e1, e3) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2518) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) op(e1, e3) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2508), (2509), (2519), (function-axioms) are
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2243.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_58_7 = e3 & op(e1, e2) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2520) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) op(e1, e2) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (162), (170), (195), (267), (2514), (2521),
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2522) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_58_8 = e3 & op(e1, e1) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2523) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) op(e1, e1) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2253), (2524), (function-axioms) are
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_58_11 = e3 & op(e1, e0) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2525) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) op(e1, e0) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_54_14 = e1
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2239), (2527) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1937.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_54_14 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2528) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_52_11 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2529) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_52_11 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (2530) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) ~ (all_52_7 = e0)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2530) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) ~ (all_52_9 = e0)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_54_13 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2496), (2533) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) ~ (all_54_13 = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) all_54_6 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (2536) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_52_9 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2537) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_52_9 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2538) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) ~ (all_52_13 = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2539) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) ~ (all_52_13 = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2538) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) op(e2, e1) = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) all_54_7 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (2540), (2542) are inconsistent by
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_54_13 = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (2544) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_52_7 = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2545) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_52_7 = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (2546) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) ~ (all_52_4 = e2)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (2546) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) op(e0, e2) = e2
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) all_54_1 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (2549) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) all_52_4 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2550) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_52_4 = e3
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2551) imply:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) ~ (all_52_12 = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2552) implies:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) ~ (all_52_12 = e3)
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.38/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2555) gives:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2556) implies:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) op(e2, e3) = e3
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2483), (2557), (function-axioms) are
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 230.90/42.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2558) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2559) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) op(e3, e2) = e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2514), (2560), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2193.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2561) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) op(e1, e3) = e3
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2508), (2509), (2562), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2243.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2564) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_56_5 = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2509), (2565) imply:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) op(e1, e1) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2253), (2566), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2159.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (1624), (2553), (2567),
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1794.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2570) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) op(e2, e1) = e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2541), (2571), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2573) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) op(e2, e1) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2541), (2574), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2255.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2575) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) op(e2, e0) = e2
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (269), (2170), (2491), (2543), (2576),
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1995.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2577) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2578) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) op(e0, e2) = e0
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (191), (203), (256), (282), (1625),
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168), (2219), (2531), (2547), (2579),
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1963.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2580) gives:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2581) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) op(e1, e0) = e1
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2526), (2582), (function-axioms) are
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1894.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2583) implies:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) ~ (all_56_31 = e1)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2166), (2584) imply:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) $false
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2585) is inconsistent.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (158), (191), (256), (282), (1625), (2168),
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219), (2496), (2548), (2586), (function-axioms)
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1815.
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_54_13 = e1 | all_54_13 = e0
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (2168), (2531), (2587) are inconsistent by
% 230.90/42.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1793.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (2237), (2250), (2532), (2588) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2244.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (2230), (2502), (2589),
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1792.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2590) implies:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) op(e0, e3) = all_56_7
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) op(e0, all_56_7) = e0
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2499), (2591), (2592), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2070.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_58_10 = e2 & op(e2, e0) = e2
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2593) implies:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) op(e2, e0) = e2
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (2491), (2594), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2317.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (223), (226),
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179), (2225), (2226), (2253), (2595),
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2027.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2167), (2488), (2596) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2066.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_54_4 = e1 | all_54_4 = e0
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (1622), (2218), (2597) are inconsistent by
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1922.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | (2598) all_58_11 = e2 & op(e1, e0) = e2
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2598) implies:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | (2599) all_58_11 = e2
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (223), (226), (2225),
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | (2226), (2253), (2599), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2028.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | (2600) all_54_10 = e1 | all_54_10 = e0
% 230.90/42.74 | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (1630), (2242), (2600) are inconsistent by
% 230.90/42.74 | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 230.90/42.74 | | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | (2601) all_58_9 = e1 & op(e3, e0) = e1
% 230.90/42.74 | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2169), (2601), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 230.90/42.74 | | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | (2602) all_58_12 = e1 & op(e0, e3) = e1
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | REF_CLOSE: (159), (2167), (2602), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | (2603) all_18_2 = e0
% 230.90/42.74 | | | | | | | | | (2604) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 230.90/42.74 | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 230.90/42.74 | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0) =
% 230.90/42.74 | | | | | | | | | all_18_1 & $i(all_18_1))
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | COMBINE_EQS: (339), (2603) imply:
% 230.90/42.74 | | | | | | | | | (2605) all_6_2 = e0
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | COMBINE_EQS: (332), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2606) all_28_2 = e0
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | COMBINE_EQS: (266), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2607) all_56_21 = e0
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | REDUCE: (378), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2608) ~ (all_52_6 = e0)
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | REDUCE: (381), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2609) ~ (all_52_9 = e0)
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | REDUCE: (391), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2610) ~ (e3 = e0)
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | REDUCE: (39), (2605) imply:
% 230.90/42.74 | | | | | | | | | (2611) op(e1, e1) = e0
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | BETA: splitting (235) gives:
% 230.90/42.74 | | | | | | | | |
% 230.90/42.74 | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | (2612) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 230.90/42.74 | | | | | | | | | | & op(e2, e2) = e0)
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | BETA: splitting (2612) gives:
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | (2613) all_58_1 = e0 & op(e3, e2) = e0
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | REF_CLOSE: (170), (1625), (2613), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | inconsistent by sub-proof #1968.
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | (2614) all_58_3 = e0 & op(e2, e2) = e0
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | REF_CLOSE: (42), (397), (2614), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | inconsistent by sub-proof #1992.
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | (2615) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 230.90/42.74 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | BETA: splitting (2615) gives:
% 230.90/42.74 | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | (2616) all_58_7 = e0 & op(e1, e2) = e0
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | REF_CLOSE: (162), (2608), (2616), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | inconsistent by sub-proof #2022.
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | (2617) all_58_13 = e0 & op(e0, e2) = e0
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | ALPHA: (2617) implies:
% 230.90/42.74 | | | | | | | | | | | (2618) op(e0, e2) = e0
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | BETA: splitting (231) gives:
% 230.90/42.74 | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | (2619) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 230.90/42.74 | | | | | | | | | | | | & op(e2, e2) = e0)
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | BETA: splitting (2619) gives:
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | (2620) all_58_2 = e0 & op(e2, e3) = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REF_CLOSE: (167), (1622), (2620), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | inconsistent by sub-proof #1985.
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | (2621) all_58_3 = e0 & op(e2, e2) = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REF_CLOSE: (42), (397), (2621), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | End of split
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | (2622) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 230.90/42.74 | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | BETA: splitting (2622) gives:
% 230.90/42.74 | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | (2623) all_58_5 = e0 & op(e2, e1) = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REF_CLOSE: (165), (2609), (2623), (function-axioms) are
% 230.90/42.74 | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | (2624) all_58_10 = e0 & op(e2, e0) = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | ALPHA: (2624) implies:
% 230.90/42.74 | | | | | | | | | | | | | (2625) op(e2, e0) = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 230.90/42.74 | | | | | | | | | | | | | e2, e0, simplifying with (158), (2618) gives:
% 230.90/42.74 | | | | | | | | | | | | | (2626) all_52_7 = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 230.90/42.74 | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (2625) gives:
% 230.90/42.74 | | | | | | | | | | | | | (2627) all_52_13 = e0
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REDUCE: (125), (2626) imply:
% 230.90/42.74 | | | | | | | | | | | | | (2628) ~ (all_52_11 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | SIMP: (2628) implies:
% 230.90/42.74 | | | | | | | | | | | | | (2629) ~ (all_52_11 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REDUCE: (110), (2627) imply:
% 230.90/42.74 | | | | | | | | | | | | | (2630) ~ (all_52_14 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | SIMP: (2630) implies:
% 230.90/42.74 | | | | | | | | | | | | | (2631) ~ (all_52_14 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REDUCE: (377), (2627) imply:
% 230.90/42.74 | | | | | | | | | | | | | (2632) ~ (all_8_2 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | REDUCE: (388), (2627) imply:
% 230.90/42.74 | | | | | | | | | | | | | (2633) ~ (all_4_2 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | SIMP: (2633) implies:
% 230.90/42.74 | | | | | | | | | | | | | (2634) ~ (all_4_2 = e0)
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 230.90/42.74 | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | (2635) all_54_15 = e3
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | REF_CLOSE: (299), (395), (2635) are inconsistent by sub-proof
% 230.90/42.74 | | | | | | | | | | | | | | #2340.
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | (2636) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | BETA: splitting (2636) gives:
% 230.90/42.74 | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | (2637) all_54_15 = e2
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (2637) are inconsistent by sub-proof
% 230.90/42.74 | | | | | | | | | | | | | | | #2339.
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | Case 2:
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | (2638) ~ (all_54_15 = e2)
% 230.90/42.74 | | | | | | | | | | | | | | | (2639) all_54_15 = e1 | all_54_15 = e0
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | BETA: splitting (2639) gives:
% 230.90/42.74 | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | (2640) all_54_15 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (2640) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2641) all_4_2 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | SIMP: (2641) implies:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2642) all_4_2 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2643) all_20_2 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2644) all_34_2 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2645) all_56_31 = e1
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | REDUCE: (368), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2646) ~ (all_52_3 = e1)
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | REDUCE: (386), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2647) ~ (all_52_11 = e1)
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | REDUCE: (387), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2648) ~ (all_52_12 = e1)
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | REDUCE: (389), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2649) ~ (all_52_14 = e1)
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | REDUCE: (390), (2642) imply:
% 230.90/42.74 | | | | | | | | | | | | | | | | (2650) ~ (e2 = e1)
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 230.90/42.74 | | | | | | | | | | | | | | | |
% 230.90/42.74 | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.74 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | (2651) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (2618), (2646), (2651),
% 230.90/42.75 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.75 | | | | | | | | | | | | | | | | | #1791.
% 230.90/42.75 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | (2652) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | (2653) all_58_14 = e1 & op(e0, e1) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | ALPHA: (2653) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | (2654) op(e0, e1) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (2647), (2654), (function-axioms) are
% 230.90/42.75 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | (2655) all_58_15 = e1 & op(e0, e0) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | ALPHA: (2655) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | (2656) all_58_15 = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | (2657) op(e0, e0) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | (2658) ~ (all_20_2 = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | REDUCE: (2643), (2658) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | (2659) $false
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | CLOSE: (2659) is inconsistent.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | (2660) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | (2661) ~ (all_22_2 = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (2661) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | (2662) ~ (all_8_2 = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | (2663) all_54_5 = e3
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (392), (2663) are inconsistent by sub-proof
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | #1907.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | (2664) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2664) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2665) all_54_5 = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (2665) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2666) all_8_2 = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2666) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2667) all_8_2 = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (2667) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2668) all_56_11 = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2667) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2669) ~ (all_52_1 = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2667) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (all_52_9 = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (2671) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2671) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (2672) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (2645), (2668), (2669), (2672),
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | #1831.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (2673) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2674) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2675) op(e1, e3) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2676) op(e3, e1) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (146), (149), (163), (169), (198), (200),
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (270), (279), (1622), (2609), (2669), (2670),
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2675), (2676), (function-axioms) are inconsistent
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1789.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2677) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (1624), (2607), (2677), (function-axioms)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1788.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (2678) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2678) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (2679) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2679) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2680) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2681) op(e2, e1) = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (2670), (2681), (function-axioms) are
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | (2682) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2683) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) ~ (all_56_11 = e2)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2668), (2684) imply:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) $false
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2685) is inconsistent.
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2686) implies:
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) op(e0, e2) = e2
% 230.90/42.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2618), (2687), (function-axioms) are
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2688) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (2631), (2649), (2668), (2688),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | #1988.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | (2689) all_54_5 = e1 | all_54_5 = e0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (397), (2662), (2689) are inconsistent by
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2300.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2690) all_22_2 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2691) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (2690) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2692) all_8_2 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2693) all_30_2 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2694) all_56_11 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2695) ~ (all_52_1 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2696) ~ (all_52_4 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2697) ~ (e3 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2692) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | (2698) op(e2, e2) = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | (2699) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (1628), (2695), (2699),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | #1827.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | (2700) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2700) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | (2701) all_58_6 = e1 & op(e1, e3) = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2701) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | (2702) op(e1, e3) = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | (2703) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (1628), (2696), (2703),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | (2704) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2704) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_58_4 = e1 & op(e3, e1) = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2705) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_58_4 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2707) op(e3, e1) = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (2702) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_52_2 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (2707) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_52_8 = e1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2708) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2710) ~ (all_52_3 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2708) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2711) ~ (all_52_6 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2711) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_52_6 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2708) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2713) ~ (all_52_14 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2709) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2714) ~ (all_52_9 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2714) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2715) ~ (all_52_9 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2709) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | (2716) ~ (all_52_11 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2717) ~ (all_28_2 = e0)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2606), (2717) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2718) $false
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2718) is inconsistent.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | (2719) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) ~ (all_30_2 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2693), (2720) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) $false
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2721) is inconsistent.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) ~ (all_34_2 = e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2644), (2723) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) $false
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2724) is inconsistent.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) ~ (all_50_2 = e0)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1620), (2726) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) $false
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2727) is inconsistent.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_54_3 = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (2729) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_52_12 = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2730) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_52_12 = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2731) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) ~ (all_52_4 = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2731) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_52_14 = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2733) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_52_14 = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (2731) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) op(e3, e0) = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2736) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) op(e3, e0) = all_50_1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (159), (160), (162), (163), (167),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (203), (210), (239), (258), (282), (1622),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623), (1624), (1625), (2625), (2629), (2631),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645), (2649), (2696), (2712), (2732), (2734),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735), (2737), (function-axioms) are inconsistent
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1787.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2738) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) op(e3, e0) = all_50_1
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (159), (160), (162), (163), (167),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (203), (210), (239), (258), (282), (1622),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623), (1624), (1625), (2625), (2629), (2631),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645), (2649), (2696), (2712), (2732), (2734),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735), (2739), (function-axioms) are inconsistent
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1787.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) ~ (all_54_3 = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (2740) imply:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) ~ (all_52_12 = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) all_58_0 = e3 & op(e3, e3) = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2743) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) op(e3, e3) = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (1622), (1623),
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624), (2744), (function-axioms) are inconsistent
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_58_1 = e3 & op(e3, e2) = e3
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2745) implies:
% 230.90/42.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_58_1 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) op(e3, e2) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (1628), (2747), (2748),
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_58_4 = e2 & op(e3, e1) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2750) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_58_4 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2706), (2751) are inconsistent by sub-proof
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1786.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_58_9 = e2 & op(e3, e0) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2752) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_58_9 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) op(e3, e0) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (2698), (2747), (2755),
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1785.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2756) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_58_7 = e2 & op(e1, e2) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2757) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_58_7 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) op(e1, e2) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2760) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_58_6 = e3 & op(e1, e3) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2761) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) op(e1, e3) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2702), (2762), (function-axioms) are
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_58_7 = e3 & op(e1, e2) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2763) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) op(e1, e2) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2759), (2764), (function-axioms) are
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2207.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2765) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_58_8 = e3 & op(e1, e1) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (2611), (2766), (function-axioms) are
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_58_11 = e3 & op(e1, e0) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2767) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_58_11 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) op(e1, e0) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2719) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2770) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) ~ (all_28_0 = e3)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) op(e1, e0) = all_28_1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) op(all_28_1, e1) = all_28_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2774) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) ~ (all_18_0 = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) op(e1, e0) = all_18_1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) op(all_18_1, e1) = all_18_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2778) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (1622), (1623),
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624), (2747), (2779), (function-axioms) are
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_56_10 = e2 & op(e2, all_56_11) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2780) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) op(e2, all_56_11) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2694), (2781) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) op(e2, e1) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2772), (2776)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_28_1 = all_18_1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2772) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_28_1 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2782) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_52_9 = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2783), (2784) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_18_1 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2785) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) ~ (all_52_11 = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2787) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) ~ (all_52_11 = e2)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2773), (2784) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) op(e3, e1) = all_28_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2777), (2786) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) op(e3, e1) = all_18_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_54_14 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2791) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_52_11 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2792) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_52_11 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2793) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) ~ (all_52_3 = e3)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (2793) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) op(e0, e1) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_54_12 = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (2794), (2796) are inconsistent by
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2798) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2799) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) op(e3, e1) = all_56_17
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) op(e3, all_56_17) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2797) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_28_0,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (2707), (2789) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_28_0 = e1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_0,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2789), (2800)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_56_17 = all_28_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2790), (2800)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_56_17 = all_18_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2803), (2804) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_28_0 = all_18_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2805) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_28_0 = all_18_0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2802), (2806) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_18_0 = e1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_18_0 = e1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2804), (2808) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_56_17 = e1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2801), (2809) imply:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) op(e3, e1) = e3
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2771), (2789), (2810), (function-axioms) are
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_54_12 = e1 | all_54_12 = e0
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2646), (2811) are inconsistent by
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2067.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2812) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) op(e2, e1) = all_56_19
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) op(e2, all_56_19) = e2
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2691) gives:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2815) implies:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) op(e2, e1) = all_22_1
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2646), (2698), (2707), (2722),
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775), (2782), (2789), (2790), (2797), (2813),
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814), (2816), (function-axioms) are inconsistent
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1780.
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 230.90/42.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2817) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) op(e2, e1) = all_22_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2646), (2698), (2707), (2722),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775), (2782), (2789), (2790), (2797), (2813),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814), (2818), (function-axioms) are inconsistent
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1780.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (257), (1624), (2607), (2646), (2660),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725), (2769), (2795), (2797), (2819),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2629), (2647), (2788), (2820) are
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2822) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) op(e1, e2) = all_56_13
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) op(e1, all_56_13) = e1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (2759), (2823)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_56_13 = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (237), (238), (2618), (2625), (2695),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698), (2715), (2758), (2823), (2824), (2825),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2826) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) op(e0, e2) = all_56_15
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) op(e0, all_56_15) = e0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (2618), (2827)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_56_15 = e0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (217), (218),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (2646), (2827), (2828), (2829),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2719), (2769), (2830), (function-axioms) are
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2831) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) ~ (all_28_1 = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) op(e1, e0) = all_28_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2834) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) ~ (all_50_0 = e1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) op(e3, e0) = all_50_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) op(all_50_1, e3) = all_50_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1617) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2838) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) op(e3, e0) = all_16_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) op(all_16_1, e3) = all_16_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2841) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) ~ (all_18_0 = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) op(e1, e0) = all_18_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) op(all_18_1, e1) = all_18_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2845) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (1622), (1623),
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624), (2747), (2846), (function-axioms) are
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_56_10 = e2 & op(e2, all_56_11) = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2847) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) op(e2, all_56_11) = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2694), (2848) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) op(e2, e1) = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2843)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_28_1 = all_18_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_28_1 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2849) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_52_9 = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (2836), (2839)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_50_1 = all_16_1
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (2754), (2836) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_50_1 = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2853), (2854) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_16_1 = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2855) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_16_1 = e2
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2850), (2851) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_18_1 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2852) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) ~ (all_52_1 = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2852) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) ~ (all_52_11 = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2859) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_52_11 = e2)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2837), (2854) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) op(e2, e3) = all_50_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2844), (2857) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) op(e3, e1) = all_18_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2840), (2856) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) op(e2, e3) = all_16_0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_54_4 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2864) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_52_1 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2865) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_52_1 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2866) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) op(e2, e3) = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_54_14 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2868) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_52_11 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2869) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_52_11 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2870) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) ~ (all_52_3 = e3)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (2870) imply:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) op(e0, e1) = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_54_12 = e3
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (2871), (2873) are inconsistent by
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) ~ (all_54_12 = e3)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2877) implies:
% 230.90/42.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) op(e3, e1) = all_56_17
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) op(e3, all_56_17) = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2875) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (2861), (2863)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_50_0 = all_16_0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2861), (2867) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_50_0 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2707), (2878)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_56_17 = e1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2862), (2878)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_56_17 = all_18_0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2882), (2883) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_18_0 = e1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2880), (2881) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_16_0 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2835), (2862), (2879), (2881), (2883), (2884),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_54_12 = e1 | all_54_12 = e0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (1624), (2646), (2886) are inconsistent by
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2067.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2887) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) op(e2, e1) = all_56_19
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) op(e2, all_56_19) = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (216),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (235), (236), (239), (241),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (1622), (2618), (2656), (2657),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698), (2702), (2707), (2746), (2747), (2753),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758), (2768), (2842), (2849), (2862), (2867),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871), (2888), (2889), (function-axioms) are
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1738.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (257), (1624), (2607), (2646), (2660),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725), (2769), (2872), (2875), (2890),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2629), (2647), (2860), (2891) are
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (1622), (2695), (2858), (2892) are
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2893) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2894) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) op(e1, e2) = all_56_13
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) op(e1, all_56_13) = e1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2843)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_28_1 = all_18_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_28_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (2759), (2895)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_56_13 = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2897), (2898) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_18_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (237), (238), (2618), (2625), (2695),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698), (2715), (2758), (2895), (2896), (2899),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2901) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) op(e0, e2) = all_56_15
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) op(e0, all_56_15) = e0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (2618), (2902)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_56_15 = e0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2843)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_28_1 = all_18_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_28_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2905), (2906) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_18_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (217), (218),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (2646), (2902), (2903), (2904),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2719), (2769), (2908), (function-axioms) are
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2909) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) ~ (all_16_1 = e1)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) op(e3, e0) = all_16_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2912) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) ~ (all_18_0 = e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) op(e1, e0) = all_18_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) op(all_18_1, e1) = all_18_0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2916) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (1622), (1623),
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624), (2747), (2917), (function-axioms) are
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1784.
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_56_10 = e2 & op(e2, all_56_11) = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2918) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) op(e2, all_56_11) = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2694), (2919) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) op(e2, e1) = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2914)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_28_1 = all_18_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_28_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (2920) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_52_9 = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (2836), (2911)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_50_1 = all_16_1
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (2754), (2836) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_50_1 = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2924), (2925) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_16_1 = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2926) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_16_1 = e2
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2921), (2922) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_18_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2923) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) ~ (all_52_1 = e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2923) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) ~ (all_52_11 = e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2930) implies:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) ~ (all_52_11 = e2)
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2837), (2925) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) op(e2, e3) = all_50_0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2915), (2928) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) op(e3, e1) = all_18_0
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_54_4 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (2934) imply:
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_52_1 = e3
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2935) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_52_1 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (2936) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) op(e2, e3) = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_54_14 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (2938) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_52_11 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2939) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_52_11 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (2940) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (all_52_3 = e3)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (2940) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) op(e0, e1) = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) all_54_12 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (2941), (2943) are inconsistent by
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_54_12 = e3)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2946) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2947) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) op(e3, e1) = all_56_17
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) op(e3, all_56_17) = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2950) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) all_58_12 = e2 & op(e0, e3) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2951) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_58_12 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (239),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (1622), (2937), (2941), (2952),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953), (function-axioms) are inconsistent by
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1754.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_58_6 = e2 & op(e1, e3) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2955) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) op(e1, e3) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (2702), (2956), (function-axioms) are
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_0,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2932), (2937) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_50_0 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2707), (2948)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) all_56_17 = e1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_0,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (2933), (2948)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) all_56_17 = all_18_0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2958), (2959) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_18_0 = e1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2835), (2933), (2949), (2957), (2959), (2960),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1766.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_58_13 = e2 & op(e0, e2) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2961) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_58_13 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) op(e0, e2) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (235), (236), (2746),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747), (2758), (2962), (2963), (function-axioms)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1748.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (216), (219),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (2618), (2656), (2657), (2753), (2768),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941), (2964), (function-axioms) are inconsistent
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1739.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2965) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) op(e2, e1) = all_56_19
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) op(e2, all_56_19) = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (216),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (235), (236), (239), (241),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (1622), (2618), (2656), (2657),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698), (2702), (2707), (2746), (2747), (2753),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758), (2768), (2913), (2920), (2933), (2937),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941), (2966), (2967), (function-axioms) are
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1738.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (257), (1624), (2607), (2646), (2660),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725), (2769), (2942), (2945), (2968),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1779.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (2629), (2647), (2931), (2969) are
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (1622), (2695), (2929), (2970) are
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) op(e1, e2) = all_56_13
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) op(e1, all_56_13) = e1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2914)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_28_1 = all_18_1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_28_1 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (2759), (2973)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_56_13 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (2836), (2911)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_50_1 = all_16_1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (2754), (2836) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_50_1 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2978), (2979) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_16_1 = e2
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2975), (2976) imply:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_18_1 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (237), (238), (2618), (2625), (2695),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698), (2715), (2758), (2973), (2974), (2977),
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1774.
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2982) implies:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) op(e0, e2) = all_56_15
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) op(e0, all_56_15) = e0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (2618), (2983)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_56_15 = e0
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (2833), (2914)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_28_1 = all_18_1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (2769), (2833) gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_28_1 = e3
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (2836), (2911)
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_50_1 = all_16_1
% 230.90/42.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (2754), (2836) gives:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_50_1 = e2
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2988), (2989) imply:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_16_1 = e2
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2986), (2987) imply:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_18_1 = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (217), (218),
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (2646), (2983), (2984), (2985),
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1769.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2719), (2769), (2992), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2993) implies:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) ~ (all_50_1 = e2)
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) op(e3, e0) = all_50_1
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2754), (2994), (2995), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_58_13 = e2 & op(e0, e2) = e2
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2996) implies:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) op(e0, e2) = e2
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (2618), (2997), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_58_4 = e3 & op(e3, e1) = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2999) implies:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) op(e3, e1) = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (2707), (3000), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1823.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_58_9 = e3 & op(e3, e0) = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3001) implies:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) op(e3, e0) = e3
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2741), (3002), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_58_9 = e1 & op(e3, e0) = e1
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (2648), (3003), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | (3004) all_58_12 = e1 & op(e0, e3) = e1
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (2646), (3004), (function-axioms) are
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | (3005) all_54_15 = e0
% 230.90/42.81 | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (2634), (3005) are inconsistent by
% 230.90/42.81 | | | | | | | | | | | | | | | | sub-proof #1737.
% 230.90/42.81 | | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | End of split
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | End of split
% 230.90/42.81 | | | | | | | |
% 230.90/42.81 | | | | | | | End of split
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | Case 2:
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | (3006) all_14_2 = e0
% 230.90/42.81 | | | | | | | (3007) ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 230.90/42.81 | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) |
% 230.90/42.81 | | | | | | | ( ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 230.90/42.81 | | | | | | | $i(all_14_1))
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | COMBINE_EQS: (344), (3006) imply:
% 230.90/42.81 | | | | | | | (3008) all_8_2 = e0
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | SIMP: (3008) implies:
% 230.90/42.81 | | | | | | | (3009) all_8_2 = e0
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | COMBINE_EQS: (311), (3009) imply:
% 230.90/42.81 | | | | | | | (3010) all_48_2 = e0
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | COMBINE_EQS: (353), (3009) imply:
% 230.90/42.81 | | | | | | | (3011) all_56_11 = e0
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (366), (3009) imply:
% 230.90/42.81 | | | | | | | (3012) ~ (all_52_1 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (369), (3009) imply:
% 230.90/42.81 | | | | | | | (3013) ~ (all_52_4 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (371), (3009) imply:
% 230.90/42.81 | | | | | | | (3014) ~ (all_52_6 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (373), (3009) imply:
% 230.90/42.81 | | | | | | | (3015) ~ (all_52_7 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (375), (3009) imply:
% 230.90/42.81 | | | | | | | (3016) ~ (all_52_9 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (377), (3009) imply:
% 230.90/42.81 | | | | | | | (3017) ~ (all_52_13 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | REDUCE: (392), (3009) imply:
% 230.90/42.81 | | | | | | | (3018) ~ (e3 = e0)
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | BETA: splitting (235) gives:
% 230.90/42.81 | | | | | | |
% 230.90/42.81 | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | |
% 230.90/42.81 | | | | | | | | (3019) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0 &
% 230.90/42.81 | | | | | | | | op(e2, e2) = e0)
% 230.90/42.81 | | | | | | | |
% 230.90/42.81 | | | | | | | | BETA: splitting (3019) gives:
% 230.90/42.81 | | | | | | | |
% 230.90/42.81 | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | (3020) all_58_1 = e0 & op(e3, e2) = e0
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | REF_CLOSE: (170), (3013), (3020), (function-axioms) are
% 230.90/42.81 | | | | | | | | | inconsistent by sub-proof #1968.
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | (3021) all_58_3 = e0 & op(e2, e2) = e0
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | ALPHA: (3021) implies:
% 230.90/42.81 | | | | | | | | | (3022) all_58_3 = e0
% 230.90/42.81 | | | | | | | | | (3023) op(e2, e2) = e0
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | BETA: splitting (55) gives:
% 230.90/42.81 | | | | | | | | |
% 230.90/42.81 | | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | (3024) ~ (all_16_2 = e0)
% 230.90/42.81 | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | REDUCE: (342), (3024) imply:
% 230.90/42.81 | | | | | | | | | | (3025) ~ (all_10_2 = e0)
% 230.90/42.81 | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | BETA: splitting (58) gives:
% 230.90/42.81 | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | (3026) ~ (all_18_2 = e0)
% 230.90/42.81 | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | REDUCE: (339), (3026) imply:
% 230.90/42.81 | | | | | | | | | | | (3027) ~ (all_6_2 = e0)
% 230.90/42.81 | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | BETA: splitting (61) gives:
% 230.90/42.81 | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | (3028) ~ (all_20_2 = e1)
% 230.90/42.81 | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | REDUCE: (341), (3028) imply:
% 230.90/42.81 | | | | | | | | | | | | (3029) ~ (all_4_2 = e1)
% 230.90/42.81 | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | BETA: splitting (189) gives:
% 230.90/42.81 | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | Case 1:
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | (3030) all_54_15 = e3
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | COMBINE_EQS: (299), (3030) imply:
% 230.90/42.81 | | | | | | | | | | | | | (3031) all_4_2 = e3
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | REDUCE: (395), (3031) imply:
% 230.90/42.81 | | | | | | | | | | | | | (3032) $false
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | | CLOSE: (3032) is inconsistent.
% 230.90/42.81 | | | | | | | | | | | | |
% 230.90/42.81 | | | | | | | | | | | | Case 2:
% 230.90/42.81 | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | (3033) ~ (all_54_15 = e3)
% 231.25/42.81 | | | | | | | | | | | | | (3034) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 231.25/42.81 | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 231.25/42.81 | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | (3035) all_54_15 = e2
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | COMBINE_EQS: (299), (3035) imply:
% 231.25/42.81 | | | | | | | | | | | | | | (3036) all_4_2 = e2
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | REDUCE: (390), (3036) imply:
% 231.25/42.81 | | | | | | | | | | | | | | (3037) $false
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | CLOSE: (3037) is inconsistent.
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | (3038) all_54_15 = e1 | all_54_15 = e0
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 231.25/42.81 | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | (3039) all_54_15 = e1
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3039) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3040) all_4_2 = e1
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | REDUCE: (3029), (3040) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3041) $false
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | CLOSE: (3041) is inconsistent.
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | (3042) all_54_15 = e0
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3042) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3043) all_4_2 = e0
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | COMBINE_EQS: (254), (3043) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3044) all_56_31 = e0
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | REDUCE: (368), (3043) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3045) ~ (all_52_3 = e0)
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | REDUCE: (387), (3043) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3046) ~ (all_52_12 = e0)
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | REDUCE: (3029), (3043) imply:
% 231.25/42.81 | | | | | | | | | | | | | | | (3047) ~ (e1 = e0)
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 231.25/42.81 | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | (3048) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | BETA: splitting (3048) gives:
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | (3049) all_58_0 = e0 & op(e3, e3) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (3025), (3049), (function-axioms) are
% 231.25/42.81 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | (3050) all_58_2 = e0 & op(e2, e3) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3012), (3050), (function-axioms) are
% 231.25/42.81 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1985.
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | End of split
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | (3051) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 231.25/42.81 | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | BETA: splitting (3051) gives:
% 231.25/42.81 | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | (3052) all_58_6 = e0 & op(e1, e3) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | ALPHA: (3052) implies:
% 231.25/42.81 | | | | | | | | | | | | | | | | | (3053) op(e1, e3) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 231.25/42.81 | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | (3054) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives:
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | (3055) all_58_0 = e0 & op(e3, e3) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (3025), (3055), (function-axioms) are
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | (3056) all_58_1 = e0 & op(e3, e2) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (3013), (3056), (function-axioms) are
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | (3057) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | BETA: splitting (3057) gives:
% 231.25/42.81 | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | (3058) all_58_4 = e0 & op(e3, e1) = e0
% 231.25/42.81 | | | | | | | | | | | | | | | | | | |
% 231.25/42.81 | | | | | | | | | | | | | | | | | | | ALPHA: (3058) implies:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3059) op(e3, e1) = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3053) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3060) all_52_2 = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3059) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3061) all_52_8 = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3060) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3062) ~ (all_52_3 = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3060) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3063) ~ (all_52_14 = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | SIMP: (3063) implies:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3064) ~ (all_52_14 = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3061) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3065) ~ (all_10_2 = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (3061) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | (3066) ~ (all_6_2 = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | (3067) ~ (all_24_2 = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (3067) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | (3068) ~ (all_10_2 = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | (3069) all_54_0 = e3
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3069) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | (3070) all_10_2 = e3
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3070) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | (3071) all_56_1 = e3
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (3070) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | (3072) ~ (all_52_1 = e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (3070) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | (3073) ~ (all_52_3 = e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3074) ~ (all_36_2 = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (3074) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3075) ~ (all_6_2 = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (3076) all_54_10 = e3
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (3076) are inconsistent by sub-proof
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | #2313.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (3077) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_54_10 = e2
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (3075), (3078) are inconsistent by
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_54_10 = e1 | all_54_10 = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3079) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_54_10 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (3080) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_6_2 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3081) implies:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_6_2 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (3082) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_56_21 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (3082) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_52_9 = e1)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (3082) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_52_14 = e1)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (159), (167), (3045), (3059), (3071),
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3072), (3073), (3086), (function-axioms) are
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1734.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3087) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3044), (3083), (3084), (3088),
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3064), (3085), (3089),
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | (3090) all_54_10 = e0
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (3027), (3090) are inconsistent by
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3091) all_36_2 = e2
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (3091) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3092) all_6_2 = e2
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (3092) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3093) all_56_21 = e2
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (3092) imply:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | (3094) ~ (all_52_9 = e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (3095) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (159), (167), (3045), (3059), (3071),
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (3072), (3073), (3095), (function-axioms) are
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1734.
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (3096) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3096) gives:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | (3097) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.82 | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3044), (3093), (3094), (3097),
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3098) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3044), (3064), (3098),
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (3099) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (3025), (3068), (3099) are
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | (3100) all_24_2 = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (3100) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | (3101) all_10_2 = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3101) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | (3102) all_56_1 = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (3101) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | (3103) ~ (all_52_1 = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (3104) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3104) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (3105) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | = e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3105) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3106) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3106) implies:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_56_1 = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3102), (3107) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3108) $false
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3108) is inconsistent.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3109) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3109) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3110) implies:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3111) op(e2, e3) = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3103), (3111), (function-axioms) are
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3112) implies:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3113) op(e3, e1) = e3
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3059), (3113), (function-axioms) are
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2118.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (3114) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3114) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3115) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3115) implies:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3116) op(e3, e1) = e1
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3059), (3116) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3117) e1 = e0
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3117) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3118) $false
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3118) is inconsistent.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3119) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3044), (3045), (3119), (function-axioms)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2308.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (3120) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3120) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (3121) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3121) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3122) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3122) implies:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3123) ~ (all_56_21 = e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3124) op(e2, e1) = e2
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (3123) imply:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3125) ~ (all_6_2 = e1)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_54_10 = e3
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (3126) are inconsistent by sub-proof
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | #2313.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3127) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (297), (381), (3027), (3124), (3125),
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | (3127), (function-axioms) are inconsistent by
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2198.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | (3128) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3044), (3102), (3128) are inconsistent by
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1731.
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.83 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | (3129) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3044), (3064), (3129),
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | | #2321.
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3130) all_58_9 = e0 & op(e3, e0) = e0
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | ALPHA: (3130) implies:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3131) op(e3, e0) = e0
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3046), (3131), (function-axioms) are
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | (3132) all_58_12 = e0 & op(e0, e3) = e0
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | ALPHA: (3132) implies:
% 231.25/42.84 | | | | | | | | | | | | | | | | | (3133) op(e0, e3) = e0
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3045), (3133), (function-axioms) are
% 231.25/42.84 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | (3134) all_20_2 = e1
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | COMBINE_EQS: (341), (3134) imply:
% 231.25/42.84 | | | | | | | | | | | | (3135) all_4_2 = e1
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | SIMP: (3135) implies:
% 231.25/42.84 | | | | | | | | | | | | (3136) all_4_2 = e1
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | COMBINE_EQS: (254), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3137) all_56_31 = e1
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (368), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3138) ~ (all_52_3 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (379), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3139) ~ (all_52_7 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (386), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3140) ~ (all_52_11 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (387), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3141) ~ (all_52_12 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (388), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3142) ~ (all_52_13 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (389), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3143) ~ (all_52_14 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | REDUCE: (395), (3136) imply:
% 231.25/42.84 | | | | | | | | | | | | (3144) ~ (e3 = e1)
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | BETA: splitting (217) gives:
% 231.25/42.84 | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | (3145) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 231.25/42.84 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | BETA: splitting (3145) gives:
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | (3146) all_58_12 = e1 & op(e0, e3) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | REF_CLOSE: (159), (3138), (3146), (function-axioms) are
% 231.25/42.84 | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | (3147) all_58_13 = e1 & op(e0, e2) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | REF_CLOSE: (158), (3139), (3147), (function-axioms) are
% 231.25/42.84 | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | (3148) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 231.25/42.84 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 231.25/42.84 | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | (3149) all_58_14 = e1 & op(e0, e1) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 231.25/42.84 | | | | | | | | | | | | | | (3150) op(e0, e1) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | REF_CLOSE: (157), (3140), (3150), (function-axioms) are
% 231.25/42.84 | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | (3151) all_58_15 = e1 & op(e0, e0) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 231.25/42.84 | | | | | | | | | | | | | | (3152) all_58_15 = e1
% 231.25/42.84 | | | | | | | | | | | | | | (3153) op(e0, e0) = e1
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 231.25/42.84 | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | (3154) ~ (all_24_2 = e2)
% 231.25/42.84 | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | REDUCE: (301), (3154) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | (3155) ~ (all_10_2 = e2)
% 231.25/42.84 | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 231.25/42.84 | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | (3156) all_54_0 = e3
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3156) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3157) all_10_2 = e3
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | SIMP: (3157) implies:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3158) all_10_2 = e3
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3158) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3159) all_56_1 = e3
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | REDUCE: (355), (3158) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3160) ~ (all_52_1 = e3)
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | REDUCE: (357), (3158) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3161) ~ (all_52_2 = e3)
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | REDUCE: (359), (3158) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | (3162) ~ (all_52_3 = e3)
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | (3163) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.84 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.84 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.25/42.84 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.84 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives:
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (3164) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e3)
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (3159), (3160), (3161), (3164),
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.84 | | | | | | | | | | | | | | | | | | #2299.
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (3165) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3159), (3162), (3165), (function-axioms)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2270.
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | (3166) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.84 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.84 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.25/42.84 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.25/42.84 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.25/42.84 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.25/42.84 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | BETA: splitting (3166) gives:
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (3167) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e2)
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3168) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | ALPHA: (3168) implies:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3169) ~ (all_56_31 = e1)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | REDUCE: (3137), (3169) imply:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3170) $false
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | CLOSE: (3170) is inconsistent.
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3171) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (194), (266), (297), (381), (391), (3011),
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | (3027), (3171), (function-axioms) are inconsistent
% 231.25/42.84 | | | | | | | | | | | | | | | | | | | by sub-proof #1728.
% 231.25/42.84 | | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (3172) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.25/42.84 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.84 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.25/42.84 | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3137), (3143), (3172),
% 231.25/42.84 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.84 | | | | | | | | | | | | | | | | | | #1727.
% 231.25/42.84 | | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | | End of split
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.84 | | | | | | | | | | | | | | | Case 2:
% 231.25/42.84 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | (3173) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (3025), (3155), (3173) are
% 231.25/42.85 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | End of split
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | (3174) all_24_2 = e2
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (3174) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | (3175) all_10_2 = e2
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | SIMP: (3175) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | (3176) all_10_2 = e2
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3176) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | (3177) all_56_1 = e2
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | REDUCE: (359), (3176) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | (3178) ~ (all_52_3 = e2)
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | REDUCE: (365), (3176) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | (3179) ~ (all_52_12 = e2)
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | REDUCE: (45), (3176) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | (3180) op(e3, e3) = e2
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 231.25/42.85 | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | (3181) ~ (all_36_2 = e2)
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | REDUCE: (328), (3181) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | (3182) ~ (all_6_2 = e2)
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | (3183) all_54_10 = e3
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (3183) are inconsistent by sub-proof
% 231.25/42.85 | | | | | | | | | | | | | | | | | #2313.
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | (3184) ~ (all_54_10 = e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | (3185) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | BETA: splitting (3185) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | (3186) all_54_10 = e2
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (3182), (3186) are inconsistent by
% 231.25/42.85 | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | (3187) ~ (all_54_10 = e2)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | (3188) all_54_10 = e1 | all_54_10 = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | BETA: splitting (3188) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3189) all_54_10 = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (3189) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3190) all_6_2 = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | SIMP: (3190) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3191) all_6_2 = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (3191) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3192) ~ (all_52_8 = e1)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | REDUCE: (381), (3191) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3193) ~ (all_52_9 = e1)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | REDUCE: (3182), (3191) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3194) ~ (e2 = e1)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3191) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | (3195) op(e1, e1) = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | (3196) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3196) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | (3197) all_58_1 = e1 & op(e3, e2) = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3197) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | (3198) op(e3, e2) = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (3199) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3199) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (3200) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3137), (3198), (3200),
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | #1725.
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (3201) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3201) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3202) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (3203) op(e3, e1) = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3192), (3203), (function-axioms) are
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | (3204) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3204) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3205) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3206) ~ (all_56_11 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3011), (3206) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3207) $false
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3207) is inconsistent.
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3208) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3209) op(e0, e3) = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3210) op(e3, e0) = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3209) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3211) all_52_3 = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (3210) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_52_12 = e0
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3211) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3213) ~ (all_52_2 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3212) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3214) ~ (all_52_14 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3214) implies:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3215) ~ (all_52_14 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3141), (3212) imply:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3216) ~ (e1 = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (223), (3014), (3195),
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3213), (3215), (function-axioms) are inconsistent
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2020.
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (3217) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3217) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (3218) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3218) gives:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3219) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3220) ~ (all_56_31 = e1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3137), (3220) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3221) $false
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3221) is inconsistent.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3222) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3011), (3193), (3222), (function-axioms)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1724.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3223) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3137), (3143), (3223),
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3224) all_58_3 = e1 & op(e2, e2) = e1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (3224) are inconsistent by sub-proof
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | #1752.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3225) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3225) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3226) all_58_7 = e1 & op(e1, e2) = e1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3226) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3227) all_58_7 = e1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3228) op(e1, e2) = e1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (168), (169),
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (242), (3023), (3141),
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3180), (3192), (3227), (3228), (function-axioms)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1712.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3229) all_58_13 = e1 & op(e0, e2) = e1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3139), (3229), (function-axioms) are
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | (3230) all_54_10 = e0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (3027), (3230) are inconsistent by
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | End of split
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | (3231) all_36_2 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | (3232) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 231.25/42.86 | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (3231) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3233) all_6_2 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (3233) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3234) all_40_2 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (3233) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3235) all_56_21 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | REDUCE: (367), (3233) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3236) ~ (all_52_2 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | REDUCE: (391), (3233) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3237) ~ (e3 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | REDUCE: (39), (3233) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | (3238) op(e1, e1) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | (3239) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | BETA: splitting (3239) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | (3240) all_58_9 = e2 & op(e3, e0) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3179), (3240), (function-axioms) are
% 231.25/42.86 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2318.
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | (3241) all_58_10 = e2 & op(e2, e0) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | ALPHA: (3241) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | (3242) op(e2, e0) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | (3243) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (3243) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3244) all_58_12 = e2 & op(e0, e3) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3178), (3244), (function-axioms) are
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2315.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3245) all_58_13 = e2 & op(e0, e2) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | ALPHA: (3245) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3246) op(e0, e2) = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (3246) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3247) all_52_7 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (3242) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3248) all_52_13 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (3248) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3249) ~ (all_52_1 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3247) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3250) ~ (all_52_4 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3247) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3251) ~ (all_52_6 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3248) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3252) ~ (all_52_9 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3248) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3253) ~ (all_52_14 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | SIMP: (3253) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | (3254) ~ (all_52_14 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3255) ~ (all_48_2 = e0)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3010), (3255) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3256) $false
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3256) is inconsistent.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | (3257) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3258) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3258) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3259) ~ (all_14_0 = e3)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3260) op(e2, e0) = all_14_1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3261) op(all_14_1, e2) = all_14_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_14_1,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3260) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3262) all_14_1 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3261), (3262) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | (3263) op(e2, e2) = all_14_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3257) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3264) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3264) implies:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3265) ~ (all_48_0 = e1)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3266) op(e2, e0) = all_48_1
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3267) op(all_48_1, e2) = all_48_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3266) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3268) all_48_1 = e2
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (3023), (3263) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3269) all_14_0 = e0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3267), (3268) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3270) op(e2, e2) = all_48_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (3023), (3270) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3271) all_48_0 = e0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3265), (3271) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | (3272) ~ (e1 = e0)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3273) ~ (all_40_2 = e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3234), (3273) imply:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3274) $false
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3274) is inconsistent.
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | (3275) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 231.25/42.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (120), (126),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (136), (141), (143), (144), (148),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (149), (158), (159), (160), (162), (163), (165),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (192), (193), (195),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (196), (200), (201), (203), (213), (214), (219),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (226), (234), (235), (236),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (244),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (257), (258), (267), (268), (279),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (280), (282), (3011), (3012), (3013), (3014),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (3022), (3023), (3138), (3139), (3141), (3143),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (3152), (3153), (3177), (3178), (3179), (3180),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (3232), (3235), (3236), (3238), (3242), (3246),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (3249), (3250), (3251), (3252), (3254), (3275),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | | #1681.
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3276) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3276) implies:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_48_1 = e3)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3278) op(e2, e0) = all_48_1
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3278) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3279) all_48_1 = e2
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (3023), (3263) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3280) all_14_0 = e0
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (91), (112), (120),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (136), (141), (143), (144),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (200), (201), (203), (213), (214),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (226), (234), (235),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (257), (258), (267), (268),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (279), (280), (282), (3011), (3012), (3013),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3014), (3022), (3023), (3138), (3139), (3141),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3143), (3152), (3153), (3177), (3178), (3179),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3180), (3232), (3234), (3235), (3236), (3238),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3242), (3246), (3249), (3250), (3251), (3252),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3254), (function-axioms) are inconsistent by
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1680.
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | (3281) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3281) implies:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | (3282) ~ (all_14_1 = e1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | (3283) op(e2, e0) = all_14_1
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_14_1,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3283) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | (3284) all_14_1 = e2
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3257) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3285) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3285) implies:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3286) ~ (all_48_0 = e1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3287) op(e2, e0) = all_48_1
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3288) op(all_48_1, e2) = all_48_0
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3287) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3289) all_48_1 = e2
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3288), (3289) imply:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3290) op(e2, e2) = all_48_0
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (3023), (3290) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3291) all_48_0 = e0
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3286), (3291) imply:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3292) ~ (e1 = e0)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (91), (112), (120),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (136), (141), (143), (144),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (200), (201), (203), (213), (214),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (226), (234), (235),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (257), (258), (267), (268),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (279), (280), (282), (3011), (3012), (3013),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3014), (3022), (3023), (3138), (3139), (3141),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3143), (3152), (3153), (3177), (3178), (3179),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3180), (3232), (3234), (3235), (3236), (3238),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3242), (3246), (3249), (3250), (3251), (3252),
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3254), (function-axioms) are inconsistent by
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1680.
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3293) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3293) implies:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3294) ~ (all_48_1 = e3)
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3295) op(e2, e0) = all_48_1
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (3242), (3295) gives:
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | | (3296) all_48_1 = e2
% 231.25/42.87 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (91), (112), (120),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (126), (133), (134), (136), (141), (143), (144),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (158), (159), (160), (162), (163),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (192), (193),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (200), (201), (203), (213), (214),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (219), (222), (223), (224), (226), (234), (235),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (257), (258), (267), (268),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (279), (280), (282), (3011), (3012), (3013),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3014), (3022), (3023), (3138), (3139), (3141),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3143), (3152), (3153), (3177), (3178), (3179),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3180), (3232), (3234), (3235), (3236), (3238),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3242), (3246), (3249), (3250), (3251), (3252),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3254), (function-axioms) are inconsistent by
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1680.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | (3297) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (3297) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | (3298) all_58_14 = e2 & op(e0, e1) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3298) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | (3299) all_58_14 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | (3300) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3300) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3301) all_58_6 = e2 & op(e1, e3) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3301) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3302) all_58_6 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3303) op(e1, e3) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3304) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3304) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_58_6 = e1 & op(e1, e3) = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3305) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3306) op(e1, e3) = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3303), (3306), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_58_7 = e1 & op(e1, e2) = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3307) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_58_7 = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (3014),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3238), (3302), (3308), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3309) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (3143), (3238), (3309),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | #1692.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3310) all_58_7 = e2 & op(e1, e2) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3310) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3311) all_58_7 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3312) op(e1, e2) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3313) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3313) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_58_6 = e1 & op(e1, e3) = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3314) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_58_6 = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3316) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3316) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_58_6 = e0 & op(e1, e3) = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3315), (3317) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | #2205.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_58_7 = e0 & op(e1, e2) = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (3014), (3318), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (3319) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (3238), (3311), (3312), (3319),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | | #1673.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_58_7 = e1 & op(e1, e2) = e1
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3311), (3320) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | #2224.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3321) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (3143), (3238), (3321),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | #1692.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | (3322) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3322) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3323) all_58_8 = e2 & op(e1, e1) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3323) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3324) all_58_8 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3325) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3325) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_58_4 = e0 & op(e3, e1) = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3326) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_58_4 = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3328) op(e3, e1) = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (228), (230), (3238),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3299), (3324), (3327), (3328), (function-axioms)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2043.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_58_5 = e0 & op(e2, e1) = e0
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3016), (3329), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | (3330) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3238), (3299), (3330), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2035.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (3331) all_58_11 = e2 & op(e1, e0) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | (226), (3014), (3238), (3331), (function-axioms)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1670.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | (3332) all_58_15 = e2 & op(e0, e0) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | ALPHA: (3332) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | (3333) all_58_15 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3152), (3333) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | | #2231.
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | (3334) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 231.25/42.88 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 231.25/42.88 | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | BETA: splitting (3334) gives:
% 231.25/42.88 | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | (3335) all_58_11 = e2 & op(e1, e0) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 231.25/42.88 | | | | | | | | | | | | | | | | | | (226), (3014), (3238), (3335), (function-axioms)
% 231.25/42.88 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1670.
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | (3336) all_58_15 = e2 & op(e0, e0) = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | ALPHA: (3336) implies:
% 231.25/42.88 | | | | | | | | | | | | | | | | | | (3337) all_58_15 = e2
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3152), (3337) are inconsistent by sub-proof
% 231.25/42.88 | | | | | | | | | | | | | | | | | | #2231.
% 231.25/42.88 | | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | (3338) all_18_2 = e0
% 231.25/42.88 | | | | | | | | | | | (3339) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0
% 231.25/42.88 | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 231.25/42.88 | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 231.25/42.88 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | COMBINE_EQS: (339), (3338) imply:
% 231.25/42.88 | | | | | | | | | | | (3340) all_6_2 = e0
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | COMBINE_EQS: (332), (3340) imply:
% 231.25/42.88 | | | | | | | | | | | (3341) all_28_2 = e0
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | COMBINE_EQS: (266), (3340) imply:
% 231.25/42.88 | | | | | | | | | | | (3342) all_56_21 = e0
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | REDUCE: (367), (3340) imply:
% 231.25/42.88 | | | | | | | | | | | (3343) ~ (all_52_2 = e0)
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | REDUCE: (380), (3340) imply:
% 231.25/42.88 | | | | | | | | | | | (3344) ~ (all_52_8 = e0)
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | REDUCE: (39), (3340) imply:
% 231.25/42.88 | | | | | | | | | | | (3345) op(e1, e1) = e0
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | BETA: splitting (239) gives:
% 231.25/42.88 | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | (3346) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 231.25/42.88 | | | | | | | | | | | | & op(e2, e3) = e0)
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | BETA: splitting (3346) gives:
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | (3347) all_58_0 = e0 & op(e3, e3) = e0
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | REF_CLOSE: (45), (3025), (3347), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | (3348) all_58_2 = e0 & op(e2, e3) = e0
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | REF_CLOSE: (167), (3012), (3348), (function-axioms) are
% 231.25/42.88 | | | | | | | | | | | | | inconsistent by sub-proof #1985.
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | End of split
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | Case 2:
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | (3349) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 231.25/42.88 | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | BETA: splitting (3349) gives:
% 231.25/42.88 | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | Case 1:
% 231.25/42.88 | | | | | | | | | | | | |
% 231.25/42.88 | | | | | | | | | | | | | (3350) all_58_6 = e0 & op(e1, e3) = e0
% 231.25/42.89 | | | | | | | | | | | | |
% 231.25/42.89 | | | | | | | | | | | | | ALPHA: (3350) implies:
% 231.25/42.89 | | | | | | | | | | | | | (3351) op(e1, e3) = e0
% 231.25/42.89 | | | | | | | | | | | | |
% 231.25/42.89 | | | | | | | | | | | | | REF_CLOSE: (163), (3343), (3351), (function-axioms) are
% 231.25/42.89 | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 231.25/42.89 | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | (3352) all_58_12 = e0 & op(e0, e3) = e0
% 231.54/42.89 | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | ALPHA: (3352) implies:
% 231.54/42.89 | | | | | | | | | | | | | (3353) all_58_12 = e0
% 231.54/42.89 | | | | | | | | | | | | | (3354) op(e0, e3) = e0
% 231.54/42.89 | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | BETA: splitting (240) gives:
% 231.54/42.89 | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | (3355) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 231.54/42.89 | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | BETA: splitting (3355) gives:
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | (3356) all_58_0 = e0 & op(e3, e3) = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REF_CLOSE: (45), (3025), (3356), (function-axioms) are
% 231.54/42.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | (3357) all_58_1 = e0 & op(e3, e2) = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REF_CLOSE: (170), (3013), (3357), (function-axioms) are
% 231.54/42.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | End of split
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | (3358) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 231.54/42.89 | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | BETA: splitting (3358) gives:
% 231.54/42.89 | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | (3359) all_58_4 = e0 & op(e3, e1) = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REF_CLOSE: (169), (3344), (3359), (function-axioms) are
% 231.54/42.89 | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | (3360) all_58_9 = e0 & op(e3, e0) = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | ALPHA: (3360) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | (3361) all_58_9 = e0
% 231.54/42.89 | | | | | | | | | | | | | | | (3362) op(e3, e0) = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 231.54/42.89 | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3354) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | (3363) all_52_3 = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 231.54/42.89 | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (3362) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | (3364) all_52_12 = e0
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (140), (3363) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3365) ~ (all_52_7 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (139), (3363) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3366) ~ (all_52_11 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | SIMP: (3366) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | (3367) ~ (all_52_11 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (113), (3364) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3368) ~ (all_52_13 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (112), (3364) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3369) ~ (all_52_14 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | SIMP: (3369) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | (3370) ~ (all_52_14 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (365), (3364) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3371) ~ (all_10_2 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | REDUCE: (387), (3364) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | (3372) ~ (all_4_2 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | SIMP: (3372) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | (3373) ~ (all_4_2 = e0)
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 231.54/42.89 | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | (3374) all_54_15 = e3
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (395), (3374) are inconsistent by sub-proof
% 231.54/42.89 | | | | | | | | | | | | | | | | #2340.
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | (3375) ~ (all_54_15 = e3)
% 231.54/42.89 | | | | | | | | | | | | | | | | (3376) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | BETA: splitting (3376) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | (3377) all_54_15 = e2
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (3377) are inconsistent by sub-proof
% 231.54/42.89 | | | | | | | | | | | | | | | | | #2339.
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | (3378) all_54_15 = e1 | all_54_15 = e0
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | BETA: splitting (3378) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3379) all_54_15 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3379) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3380) all_4_2 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | SIMP: (3380) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3381) all_4_2 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3382) all_56_31 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | REDUCE: (379), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3383) ~ (all_52_7 = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | REDUCE: (386), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3384) ~ (all_52_11 = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | REDUCE: (388), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3385) ~ (all_52_13 = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | REDUCE: (389), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3386) ~ (all_52_14 = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | REDUCE: (395), (3381) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | (3387) ~ (e3 = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | (3388) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (3388) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3389) all_58_9 = e1 & op(e3, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3361), (3389) are inconsistent by sub-proof
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | #2183.
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3390) all_58_10 = e1 & op(e2, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3385), (3390), (function-axioms) are
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | (3391) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (3391) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3392) all_58_11 = e1 & op(e1, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (3392) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3393) op(e1, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (3386), (3393), (function-axioms) are
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3394) all_58_15 = e1 & op(e0, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (3394) implies:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3395) all_58_15 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | (3396) op(e0, e0) = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | (3397) ~ (all_24_2 = e2)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (301), (3397) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | (3398) ~ (all_10_2 = e2)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | (3399) all_54_0 = e3
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (3399) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | (3400) all_10_2 = e3
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3400) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | (3401) all_56_1 = e3
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (355), (3400) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | (3402) ~ (all_52_1 = e3)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (3400) imply:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | (3403) ~ (all_52_2 = e3)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (3404) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (168), (204), (292), (365), (393),
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (3025), (3398), (3401), (3402), (3403), (3404),
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | #1668.
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (3405) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3405) gives:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | (3406) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.89 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3406) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3407) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3407) implies:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3408) ~ (all_56_31 = e1)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3382), (3408) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3409) $false
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3409) is inconsistent.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3410) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3410) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3411) implies:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) op(e1, e2) = e1
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) op(e2, e1) = e1
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (3412) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_52_6 = e1
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (3413) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_52_9 = e1
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3415) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) ~ (all_52_1 = e1)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3414) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) ~ (all_52_2 = e1)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) all_54_8 = e3
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3403), (3418) are inconsistent by
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) all_54_4 = e3
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (3402), (3420) are inconsistent by
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3421) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_54_4 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (3422) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_52_1 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3423) implies:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_52_1 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (3424) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) ~ (all_52_2 = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3425) implies:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) ~ (all_52_2 = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3419) gives:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_54_8 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3426), (3427) are inconsistent by
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_54_8 = e1 | all_54_8 = e0
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3343), (3417), (3428) are inconsistent by
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1950.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_54_4 = e1 | all_54_4 = e0
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (3012), (3416), (3429) are inconsistent by
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1922.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3430) implies:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) ~ (all_56_21 = e0)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3431) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) $false
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3432) is inconsistent.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | (3433) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3370), (3386), (3433),
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | (3434) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (3025), (3398), (3434) are
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | (3435) all_24_2 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (3435) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | (3436) all_10_2 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (3436) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | (3437) all_56_1 = e2
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (3436) imply:
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | (3438) ~ (all_52_2 = e2)
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (361), (3436) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | (3439) ~ (all_52_4 = e2)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3436) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | (3440) ~ (all_52_8 = e2)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3436) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | (3441) op(e3, e3) = e2
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | (3442) ~ (all_28_2 = e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3341), (3442) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | (3443) $false
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3443) is inconsistent.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | (3444) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | (3445) ~ (all_48_2 = e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3010), (3445) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | (3446) $false
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3446) is inconsistent.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | (3447) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_54_2 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (3448) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_52_8 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3449) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_52_8 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3450) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3451) ~ (all_52_4 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3450) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3452) ~ (all_52_9 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3452) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3453) ~ (all_52_9 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3450) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3454) ~ (all_52_11 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3454) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3455) ~ (all_52_11 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (3450) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | (3456) op(e3, e1) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | (3457) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3457) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_58_0 = e1 & op(e3, e3) = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3458) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) op(e3, e3) = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3441), (3459), (function-axioms) are
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) all_58_1 = e1 & op(e3, e2) = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3460) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) all_58_1 = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) op(e3, e2) = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3463) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_58_0 = e3 & op(e3, e3) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3464) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) op(e3, e3) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3441), (3465), (function-axioms) are
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_58_1 = e3 & op(e3, e2) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3466) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) op(e3, e2) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3462), (3467), (function-axioms) are
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_58_4 = e3 & op(e3, e1) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3469) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_58_4 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_54_1 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3451), (3471) are inconsistent by
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) ~ (all_54_1 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3474) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_58_12 = e3 & op(e0, e3) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3475) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_58_12 = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3353), (3476) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) e3 = e0
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3477) imply:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_58_4 = e0
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (3345), (3453), (3478), (function-axioms)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1662.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_58_13 = e3 & op(e0, e2) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3479) implies:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) op(e0, e2) = e3
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (3382), (3462), (3482),
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1725.
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3483) gives:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3484) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) op(e3, e1) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3456), (3485), (function-axioms) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1823.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3487) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) ~ (all_56_21 = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3488) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) $false
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3489) is inconsistent.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3490) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_56_7 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_54_14 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (3492) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_52_11 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3455), (3493) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) $false
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3494) is inconsistent.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3473) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_54_1 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3439), (3496) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_54_1 = e1 | all_54_1 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3497) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_54_1 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (3498) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_52_4 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3499) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_52_4 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3500) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) ~ (all_52_6 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3501) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) ~ (all_52_6 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3500) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) ~ (all_52_7 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_54_14 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (3504) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_52_11 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3505) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_52_11 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3506) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) ~ (all_52_7 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) all_54_13 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (3508) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_52_7 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3509) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) ~ (all_52_6 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_54_9 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3510), (3511) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_54_9 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (3513) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_52_6 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3514) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_52_6 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3515) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) ~ (all_52_14 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3516) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) ~ (all_52_14 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_54_11 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3518) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_52_14 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3519) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_52_14 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3520) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) ~ (all_52_2 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3520) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) ~ (all_52_13 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_54_8 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3521), (3523) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3525) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_58_2 = e3 & op(e2, e3) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3526) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) op(e2, e3) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3524) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_54_8 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3438), (3528) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_54_8 = e1 | all_54_8 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3437), (3462), (3527), (3530),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1703.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3531) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3532) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) op(e1, e3) = all_56_5
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) op(e1, all_56_5) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (268), (3343), (3345), (3529), (3533),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534), (function-axioms) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2005.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3535) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) op(e0, all_56_7) = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3491), (3536) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) op(e0, e0) = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (220), (221),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (3361), (3522), (3537), (function-axioms)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1650.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) all_58_3 = e3 & op(e2, e2) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3538) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_58_3 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (3539) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) e3 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3470), (3540) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_58_4 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (3345), (3453), (3541), (function-axioms)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1662.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (3453), (3522), (3542),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1649.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3370), (3386), (3517), (3543) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2173.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_54_9 = e1 | all_54_9 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3544) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_54_9 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3502), (3545) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2055.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_54_9 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3014), (3546) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1953.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (3015), (3383), (3507), (3547) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1648.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_54_14 = e1 | all_54_14 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (3367), (3384), (3548) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1935.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_54_1 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3013), (3549) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2050.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3550) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3551) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3552) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) ~ (all_56_31 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3382), (3553) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) $false
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3554) is inconsistent.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3555) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3556) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) ~ (all_56_1 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3437), (3557) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) $false
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3558) is inconsistent.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3559) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) op(e0, e2) = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3480), (3560), (function-axioms) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3370), (3386), (3561),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3562) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) all_58_14 = e3 & op(e0, e1) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3455), (3563), (function-axioms) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_58_15 = e3 & op(e0, e0) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3564) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_58_15 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (170), (240), (246),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (3441), (3451), (3461), (3470), (3565),
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1644.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_58_9 = e3 & op(e3, e0) = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3566) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_58_9 = e3
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3361), (3567) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3568) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3568) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_58_4 = e1 & op(e3, e1) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3569) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) op(e3, e1) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3456), (3570), (function-axioms) are
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1823.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) all_58_9 = e1 & op(e3, e0) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3571) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_58_9 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3361), (3572) are inconsistent by sub-proof
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | #1744.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (3573) ~ (all_54_2 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (281), (3573) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | (3575) ~ (all_52_8 = e3)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3574) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3576) all_54_2 = e2
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (3440), (3576) are inconsistent by
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1986.
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3577) ~ (all_54_2 = e2)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_54_2 = e1 | all_54_2 = e0
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3578) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) all_54_2 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (3579) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) all_52_8 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3580) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_52_8 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3581) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) ~ (all_52_4 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3581) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) ~ (all_52_9 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3583) implies:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) ~ (all_52_9 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3581) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) ~ (all_52_11 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3440), (3581) imply:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) ~ (e2 = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_58_1 = e1 & op(e3, e2) = e1
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3588) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) op(e3, e2) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (170), (281), (3344), (3578), (3589),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1642.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_58_3 = e1 & op(e2, e2) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (3590) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3591) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) all_58_7 = e1 & op(e1, e2) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3592) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_58_7 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) op(e1, e2) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) all_54_1 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (3595) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) all_52_4 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3596) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_52_4 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (3597) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) ~ (all_52_6 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3598) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) ~ (all_52_6 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (3597) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) ~ (all_52_7 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3600) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) ~ (all_52_7 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (3597) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) op(e3, e2) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_54_13 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (3603) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_52_7 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3601), (3604) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) $false
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3605) is inconsistent.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) ~ (all_54_13 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3608) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) all_58_1 = e2 & op(e3, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3609) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) op(e3, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3602), (3610), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2193.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_58_3 = e2 & op(e2, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3611) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) op(e2, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (133), (135), (140), (158), (159), (162),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (170), (191), (203), (235), (256), (282),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014), (3354), (3362), (3383), (3439), (3582),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612), (function-axioms) are inconsistent by
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1962.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3613) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) all_58_7 = e2 & op(e1, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3614) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) all_58_7 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (3593), (3615) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2134.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_58_13 = e2 & op(e0, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3616) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_58_13 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) op(e0, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_58_12 = e3 & op(e0, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3620) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_58_12 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3353), (3621) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1971.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) all_58_13 = e3 & op(e0, e2) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3622) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) op(e0, e2) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3618), (3623), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3624) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_58_14 = e3 & op(e0, e1) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3625) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) all_58_14 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) op(e0, e1) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3441), (3593), (3594), (3628),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1713.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3629) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_58_4 = e1 & op(e3, e1) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3630) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_58_4 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3632) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_58_0 = e3 & op(e3, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3633) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) op(e3, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3441), (3634), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) all_58_1 = e3 & op(e3, e2) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3635) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_58_1 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3637) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_58_2 = e1 & op(e2, e3) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3638) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_58_2 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) op(e2, e3) = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3641) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) all_58_6 = e2 & op(e1, e3) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3642) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) all_58_6 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3644) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_58_0 = e3 & op(e3, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3645) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) op(e3, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3441), (3646), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_58_2 = e3 & op(e2, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3647) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_58_2 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3639), (3648) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) e3 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3636), (3649) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_58_1 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3593), (3594), (3650),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1714.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3651) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_58_6 = e3 & op(e1, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3652) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_58_6 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3643), (3653) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) e3 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3626), (3654) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_58_14 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (3396), (3601), (3618), (3655),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1636.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_58_12 = e3 & op(e0, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3656) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_58_12 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (216), (3396), (3618), (3627),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657), (function-axioms) are inconsistent by
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1634.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) all_58_7 = e2 & op(e1, e2) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3658) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_58_7 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (235), (236), (3602),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617), (3618), (3636), (3659), (function-axioms)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1748.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3660) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_58_8 = e2 & op(e1, e1) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3661) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) op(e1, e1) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3345), (3662), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_58_11 = e2 & op(e1, e0) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3663) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_58_11 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) op(e1, e0) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3666) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_58_9 = e3 & op(e3, e0) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3667) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_58_9 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3361), (3668) are inconsistent by sub-proof
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_58_10 = e3 & op(e2, e0) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3669) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) op(e2, e0) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3671) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_58_6 = e3 & op(e1, e3) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3672) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_58_6 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3607) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_54_13 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (3674) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_52_7 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3675) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_52_7 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3676) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) ~ (all_52_6 = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (3676) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) ~ (all_52_11 = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3678) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) ~ (all_52_11 = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_54_9 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3599), (3680) are inconsistent by
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3681) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_54_9 = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3677), (3682) are inconsistent by
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1954.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) ~ (all_54_9 = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_54_9 = e1 | all_54_9 = e0
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_54_14 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (3685) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_52_11 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3686) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_52_11 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3687) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) ~ (all_52_9 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3684) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_54_9 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (3689) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_52_6 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3690) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_52_6 = e1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3691) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) ~ (all_52_2 = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (3691) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) ~ (all_52_14 = e1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3694) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) op(e3, e2) = all_56_9
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) op(e3, all_56_9) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_54_8 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (3698) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_52_2 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3699) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_52_2 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3700) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) ~ (all_52_14 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3701) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) ~ (all_52_14 = e3)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_54_11 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (3703) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_52_14 = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3702), (3704) imply:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) $false
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3705) is inconsistent.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3707) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3708) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) op(e3, e0) = all_56_25
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) op(e3, all_56_25) = e3
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3362), (3709), (3710), (function-axioms) are
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1926.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) op(e2, e0) = all_56_27
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) op(e2, all_56_27) = e2
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3714) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) op(e2, e0) = all_14_1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3370), (3386), (3447), (3640), (3670),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706), (3712), (3713), (3715), (function-axioms)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1631.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3716) implies:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) op(e2, e0) = all_14_1
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3370), (3386), (3447), (3640), (3670),
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706), (3712), (3713), (3717), (function-axioms)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1631.
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3718) gives:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3719) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) op(e1, e0) = all_56_29
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3444) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3721) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) op(e1, e0) = all_28_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3339) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3602), (3696) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_56_9 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3697), (3723) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) op(e3, e3) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (3353), (3639), (3673),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724), (function-axioms) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1629.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3725) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_18_1 = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) op(e1, e0) = all_18_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (3722), (3727)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_28_1 = all_18_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_1,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (3720), (3722)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_56_29 = all_28_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (3665), (3720)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_56_29 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3602), (3696) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_56_9 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3729), (3730) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_28_1 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3732) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_28_1 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3728), (3733) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_18_1 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3734) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) all_18_1 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3735) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) ~ (e3 = e2)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3697), (3731) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) op(e3, e3) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (3353), (3639), (3673),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737), (function-axioms) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1629.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) ~ (all_28_1 = e2)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) op(e1, e0) = all_28_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3665), (3739), (3740), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_56_30 = e0 & op(e0, all_56_31) = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) op(e0, all_56_31) = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3382), (3742) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) op(e0, e1) = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (165), (169), (230), (391), (3575),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688), (3743), (function-axioms) are inconsistent
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1626.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (3343), (3438), (3692), (3744) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_56_10 = e2 & op(e2, all_56_11) = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3745) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) op(e2, all_56_11) = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3011), (3746) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) op(e2, e0) = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (3670), (3747), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3748) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3749) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) op(e1, e2) = all_56_13
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) op(e1, all_56_13) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3444) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (3594), (3750)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_56_13 = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3751), (3752) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) op(e1, e1) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (160), (162), (163), (223), (3014), (3343),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370), (3753), (function-axioms) are inconsistent
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2020.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3754) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_28_1 = e2)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) op(e1, e0) = all_28_1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3665), (3755), (3756), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3757) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) op(e0, e2) = all_56_15
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) op(e0, all_56_15) = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (256), (3015), (3383), (3607), (3618),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758), (3759), (function-axioms) are inconsistent
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1625.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) ~ (all_54_7 = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (3760) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) ~ (all_52_13 = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (3670), (3761), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_54_9 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (3014), (3762) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1953.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (3367), (3384), (3679), (3763) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_54_13 = e1 | all_54_13 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (3015), (3383), (3764) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1793.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_58_7 = e3 & op(e1, e2) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3765) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) op(e1, e2) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (162), (170), (195), (267), (3602), (3766),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3767) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_58_8 = e3 & op(e1, e1) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3345), (3768), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_58_11 = e3 & op(e1, e0) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3769) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_58_11 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3664), (3770) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) e3 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3626), (3771) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_58_14 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (3396), (3601), (3618), (3772),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1636.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3773) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_58_11 = e3 & op(e1, e0) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_58_11 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3664), (3775) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) e3 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3776) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) e3 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3626), (3777) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_58_14 = e2
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (3396), (3601), (3618), (3778),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1636.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_58_15 = e3 & op(e0, e0) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3779) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_58_15 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3395), (3780) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) e3 = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3593), (3594), (3636), (3781),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1624.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_58_3 = e1 & op(e2, e2) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3782) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_58_3 = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (3783) imply:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) e1 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (3345),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626), (3631), (3784), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3785) gives:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_58_5 = e1 & op(e2, e1) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3786) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) op(e2, e1) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (3584), (3787), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_58_10 = e1 & op(e2, e0) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3788) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_58_10 = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (3361),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (3789) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1618.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (169), (3361), (3575), (3790),
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1957.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_58_9 = e1 & op(e3, e0) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3791) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_58_9 = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3361), (3792) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1744.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_58_15 = e3 & op(e0, e0) = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3793) implies:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_58_15 = e3
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3395), (3794) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2249.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (3013), (3439), (3582), (3795) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_58_13 = e1 & op(e0, e2) = e1
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3383), (3796), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_54_2 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (3344), (3797) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1643.
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | (3798) all_54_15 = e0
% 231.54/42.94 | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (3373), (3798) are inconsistent by
% 231.54/42.94 | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 231.54/42.94 | | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | End of split
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | (3799) all_16_2 = e0
% 231.54/42.94 | | | | | | | | | | (3800) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 231.54/42.94 | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 231.54/42.94 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 231.54/42.94 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | COMBINE_EQS: (342), (3799) imply:
% 231.54/42.94 | | | | | | | | | | (3801) all_10_2 = e0
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | SIMP: (3801) implies:
% 231.54/42.94 | | | | | | | | | | (3802) all_10_2 = e0
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | COMBINE_EQS: (350), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3803) all_50_2 = e0
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | COMBINE_EQS: (290), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3804) all_56_1 = e0
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | REDUCE: (357), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3805) ~ (all_52_2 = e0)
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | REDUCE: (359), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3806) ~ (all_52_3 = e0)
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | REDUCE: (363), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3807) ~ (all_52_8 = e0)
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | REDUCE: (393), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3808) ~ (e1 = e0)
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | REDUCE: (45), (3802) imply:
% 231.54/42.94 | | | | | | | | | | (3809) op(e3, e3) = e0
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | BETA: splitting (58) gives:
% 231.54/42.94 | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | (3810) ~ (all_18_2 = e0)
% 231.54/42.94 | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | REDUCE: (339), (3810) imply:
% 231.54/42.94 | | | | | | | | | | | (3811) ~ (all_6_2 = e0)
% 231.54/42.94 | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | BETA: splitting (223) gives:
% 231.54/42.94 | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | (3812) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 231.54/42.94 | | | | | | | | | | | | & op(e1, e2) = e0)
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | REF_CLOSE: (162), (163), (3014), (3805), (3812),
% 231.54/42.94 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.94 | | | | | | | | | | | | #2021.
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | (3813) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 231.54/42.94 | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | BETA: splitting (3813) gives:
% 231.54/42.94 | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | (3814) all_58_8 = e0 & op(e1, e1) = e0
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | REF_CLOSE: (39), (3811), (3814), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | (3815) all_58_11 = e0 & op(e1, e0) = e0
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | ALPHA: (3815) implies:
% 231.54/42.94 | | | | | | | | | | | | | (3816) all_58_11 = e0
% 231.54/42.94 | | | | | | | | | | | | | (3817) op(e1, e0) = e0
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | BETA: splitting (227) gives:
% 231.54/42.94 | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | (3818) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 231.54/42.94 | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 231.54/42.94 | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | BETA: splitting (3818) gives:
% 231.54/42.94 | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | Case 1:
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | (3819) all_58_4 = e0 & op(e3, e1) = e0
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | REF_CLOSE: (169), (3807), (3819), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | Case 2:
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | (3820) all_58_5 = e0 & op(e2, e1) = e0
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | | REF_CLOSE: (165), (3016), (3820), (function-axioms) are
% 231.54/42.94 | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 231.54/42.94 | | | | | | | | | | | | | | |
% 231.54/42.94 | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | (3821) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 231.54/42.95 | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 231.54/42.95 | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | BETA: splitting (3821) gives:
% 231.54/42.95 | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | (3822) all_58_8 = e0 & op(e1, e1) = e0
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | REF_CLOSE: (39), (3811), (3822), (function-axioms) are
% 231.54/42.95 | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | (3823) all_58_14 = e0 & op(e0, e1) = e0
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | ALPHA: (3823) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | (3824) op(e0, e1) = e0
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 231.54/42.95 | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (3824) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | (3825) all_52_11 = e0
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 231.54/42.95 | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (3817) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | (3826) all_52_14 = e0
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | REDUCE: (112), (3826) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | (3827) ~ (all_52_12 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | REDUCE: (385), (3826) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | (3828) ~ (all_6_2 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | REDUCE: (389), (3826) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | (3829) ~ (all_4_2 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | SIMP: (3829) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | (3830) ~ (all_4_2 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 231.54/42.95 | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | (3831) all_54_15 = e3
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (395), (3831) are inconsistent by sub-proof
% 231.54/42.95 | | | | | | | | | | | | | | | | #2340.
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | (3832) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | BETA: splitting (3832) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | (3833) all_54_15 = e2
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (3833) are inconsistent by sub-proof
% 231.54/42.95 | | | | | | | | | | | | | | | | | #2339.
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | (3834) ~ (all_54_15 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | (3835) all_54_15 = e1 | all_54_15 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | BETA: splitting (3835) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3836) all_54_15 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3836) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3837) all_4_2 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | SIMP: (3837) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3838) all_4_2 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3839) all_20_2 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3840) all_34_2 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3841) all_56_31 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | REDUCE: (368), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3842) ~ (all_52_3 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | REDUCE: (379), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3843) ~ (all_52_7 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | REDUCE: (387), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3844) ~ (all_52_12 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | REDUCE: (388), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3845) ~ (all_52_13 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | REDUCE: (390), (3838) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | (3846) ~ (e2 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | (3847) ~ (all_20_2 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | REDUCE: (3839), (3847) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | (3848) $false
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | CLOSE: (3848) is inconsistent.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | (3849) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | (3850) ~ (all_34_2 = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | REDUCE: (3840), (3850) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | (3851) $false
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | CLOSE: (3851) is inconsistent.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | (3852) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | (3853) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3853) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3854) all_58_12 = e1 & op(e0, e3) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3842), (3854), (function-axioms) are
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3855) all_58_13 = e1 & op(e0, e2) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3843), (3855), (function-axioms) are
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | (3856) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3856) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3857) all_58_14 = e1 & op(e0, e1) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3857) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3858) op(e0, e1) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3824), (3858), (function-axioms) are
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2158.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3859) all_58_15 = e1 & op(e0, e0) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3859) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3860) all_58_15 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | (3861) op(e0, e0) = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3849) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3862) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3862) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3863) ~ (all_20_0 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3864) op(e0, e1) = all_20_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3865) op(all_20_1, e0) = all_20_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_20_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3864) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3866) all_20_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3865), (3866) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3867) op(e0, e0) = all_20_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3852) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3868) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3868) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3869) op(e0, e1) = all_34_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3870) op(all_34_1, e0) = all_34_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_20_0,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3861), (3867) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_20_0 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3869) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_34_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3870), (3872) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3873) op(e0, e0) = all_34_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_34_0,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3861), (3873) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_34_0 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (85), (113), (117),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (145), (158), (159),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (170), (194), (197), (198), (201), (213), (216),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (226), (227), (228), (230),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (237), (238), (239), (242),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (266), (269), (270), (280),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (297), (328), (380), (381), (391), (3011), (3012),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3013), (3014), (3016), (3017), (3022), (3023),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806), (3809), (3811), (3816), (3817),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3824), (3827), (3841), (3843), (3844), (3845),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3860), (3861), (function-axioms) are inconsistent
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1593.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3875) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3875) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3876) ~ (all_34_1 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3877) op(e0, e1) = all_34_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_20_0,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3861), (3867) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_20_0 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3877) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_34_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3876), (3879) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3880) ~ (e2 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3881) ~ (all_36_2 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (3881) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3882) ~ (all_6_2 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (134), (158), (159), (162), (164),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (170), (194), (213), (235),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (242), (297), (380), (381),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (391), (3011), (3013), (3017), (3022), (3023),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (3809), (3811), (3817), (3841), (3843),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3844), (3882), (function-axioms) are inconsistent
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1611.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_36_2 = e2
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (39), (113), (117), (120), (123), (133),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (158), (159), (162), (163), (164), (165),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (197), (198), (201),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (213), (216), (221), (222), (223), (226), (227),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (232), (235), (236), (237), (238),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (242), (243), (244), (245), (266), (269),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (270), (280), (328), (381), (391), (3011), (3012),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3014), (3016), (3017), (3022), (3023), (3805),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (3809), (3816), (3817), (3824), (3827),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3841), (3843), (3844), (3845), (3860), (3861),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | (3883), (function-axioms) are inconsistent by
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1594.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3884) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3884) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3885) ~ (all_20_1 = e3)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3886) op(e0, e1) = all_20_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_20_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3886) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | (3887) all_20_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3852) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3888) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3888) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3889) op(e0, e1) = all_34_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3890) op(all_34_1, e0) = all_34_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3889) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_34_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3890), (3891) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3892) op(e0, e0) = all_34_0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_34_0,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (3861), (3892) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_34_0 = e1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (85), (113), (117),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (145), (158), (159),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (170), (194), (197), (198), (201), (213), (216),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (226), (227), (228), (230),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (237), (238), (239), (242),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (266), (269), (270), (280),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (297), (328), (380), (381), (391), (3011), (3012),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3013), (3014), (3016), (3017), (3022), (3023),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806), (3809), (3811), (3816), (3817),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3824), (3827), (3841), (3843), (3844), (3845),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3860), (3861), (function-axioms) are inconsistent
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1593.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3894) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3894) implies:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3895) ~ (all_34_1 = e2)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3896) op(e0, e1) = all_34_1
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_34_1,
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (3824), (3896) gives:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_34_1 = e0
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3895), (3897) imply:
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3898) ~ (e2 = e0)
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (39), (85), (113), (117),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (120), (123), (133), (134), (145), (158), (159),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (170), (194), (197), (198), (201), (213), (216),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (226), (227), (228), (230),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (232), (235), (236), (237), (238), (239), (242),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (266), (269), (270), (280),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (297), (328), (380), (381), (391), (3011), (3012),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3013), (3014), (3016), (3017), (3022), (3023),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806), (3809), (3811), (3816), (3817),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3824), (3827), (3841), (3843), (3844), (3845),
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | (3860), (3861), (function-axioms) are inconsistent
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1593.
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.95 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3899) all_54_15 = e0
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (3830), (3899) are inconsistent by
% 231.54/42.96 | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | (3900) all_18_2 = e0
% 231.54/42.96 | | | | | | | | | | | (3901) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0
% 231.54/42.96 | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 231.54/42.96 | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 231.54/42.96 | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | COMBINE_EQS: (339), (3900) imply:
% 231.54/42.96 | | | | | | | | | | | (3902) all_6_2 = e0
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | SIMP: (3902) implies:
% 231.54/42.96 | | | | | | | | | | | (3903) all_6_2 = e0
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | COMBINE_EQS: (332), (3903) imply:
% 231.54/42.96 | | | | | | | | | | | (3904) all_28_2 = e0
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | COMBINE_EQS: (266), (3903) imply:
% 231.54/42.96 | | | | | | | | | | | (3905) all_56_21 = e0
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | REDUCE: (383), (3903) imply:
% 231.54/42.96 | | | | | | | | | | | (3906) ~ (all_52_11 = e0)
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | REDUCE: (39), (3903) imply:
% 231.54/42.96 | | | | | | | | | | | (3907) op(e1, e1) = e0
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | BETA: splitting (216) gives:
% 231.54/42.96 | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | (3908) all_58_15 = e0 & op(e0, e0) = e0
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | ALPHA: (3908) implies:
% 231.54/42.96 | | | | | | | | | | | | (3909) all_58_15 = e0
% 231.54/42.96 | | | | | | | | | | | | (3910) op(e0, e0) = e0
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e0,
% 231.54/42.96 | | | | | | | | | | | | e0, e0, simplifying with (36), (3910) gives:
% 231.54/42.96 | | | | | | | | | | | | (3911) all_4_2 = e0
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | COMBINE_EQS: (254), (3911) imply:
% 231.54/42.96 | | | | | | | | | | | | (3912) all_56_31 = e0
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | REDUCE: (387), (3911) imply:
% 231.54/42.96 | | | | | | | | | | | | (3913) ~ (all_52_12 = e0)
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | REDUCE: (389), (3911) imply:
% 231.54/42.96 | | | | | | | | | | | | (3914) ~ (all_52_14 = e0)
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | REDUCE: (390), (3911) imply:
% 231.54/42.96 | | | | | | | | | | | | (3915) ~ (e2 = e0)
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | BETA: splitting (73) gives:
% 231.54/42.96 | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | (3916) ~ (all_28_2 = e0)
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | REDUCE: (3904), (3916) imply:
% 231.54/42.96 | | | | | | | | | | | | | (3917) $false
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | CLOSE: (3917) is inconsistent.
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | (3918) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 231.54/42.96 | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 231.54/42.96 | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 231.54/42.96 | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | BETA: splitting (103) gives:
% 231.54/42.96 | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | (3919) ~ (all_48_2 = e0)
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | REDUCE: (3010), (3919) imply:
% 231.54/42.96 | | | | | | | | | | | | | | (3920) $false
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | CLOSE: (3920) is inconsistent.
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | (3921) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 231.54/42.96 | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.54/42.96 | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 231.54/42.96 | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 231.54/42.96 | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | (3922) ~ (all_50_2 = e0)
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | REDUCE: (3803), (3922) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | (3923) $false
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | CLOSE: (3923) is inconsistent.
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | (3924) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 231.54/42.96 | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 231.54/42.96 | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 231.54/42.96 | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 231.54/42.96 | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | (3925) all_54_1 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (3925) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3926) all_52_4 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | REDUCE: (136), (3926) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3927) ~ (all_52_6 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | SIMP: (3927) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3928) ~ (all_52_6 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | REDUCE: (135), (3926) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3929) ~ (all_52_7 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | SIMP: (3929) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3930) ~ (all_52_7 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | REDUCE: (134), (3926) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3931) ~ (all_52_8 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | SIMP: (3931) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3932) ~ (all_52_8 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | REDUCE: (133), (3926) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3933) ~ (all_52_12 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | SIMP: (3933) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | (3934) ~ (all_52_12 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | (3935) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | BETA: splitting (3935) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3936) all_58_0 = e3 & op(e3, e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | ALPHA: (3936) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3937) op(e3, e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3806), (3937), (function-axioms) are inconsistent
% 231.54/42.96 | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3938) all_58_1 = e3 & op(e3, e2) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | ALPHA: (3938) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3939) all_58_1 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | (3940) op(e3, e2) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | (3941) all_54_2 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (3932), (3941) are inconsistent by
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | (3942) ~ (all_54_2 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | (3943) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3944) all_54_6 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (3944) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3945) all_52_9 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | SIMP: (3945) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3946) all_52_9 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3946) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3947) ~ (all_52_1 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3946) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3948) ~ (all_52_11 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | SIMP: (3948) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3949) ~ (all_52_11 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (3946) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3950) ~ (all_52_13 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | SIMP: (3950) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3951) ~ (all_52_13 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (3946) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | (3952) op(e2, e1) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | (3953) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3953) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | (3954) all_58_12 = e3 & op(e0, e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3954) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | (3955) all_58_12 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | (3956) op(e0, e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | (3957) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3934), (3951), (3957),
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | (3958) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3958) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_58_11 = e3 & op(e1, e0) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3959) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | (3960) op(e1, e0) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3961) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3961) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3962) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3963) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) op(e2, e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (3947), (3964), (function-axioms) are
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3965) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3966) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) op(e3, e2) = e2
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e2, e2,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3940), (3967) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) e3 = e2
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3968) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) $false
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3969) is inconsistent.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3970) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) op(e3, e1) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (3932), (3971), (function-axioms) are
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3972) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3973) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_56_5 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) op(e1, e3) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) op(e3, e1) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (3956) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_52_3 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (3960) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_52_14 = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (3975) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) all_52_2 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (3976) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) all_52_8 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3980) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) ~ (all_52_11 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3981) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) ~ (all_52_11 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3980) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) ~ (all_52_12 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3983) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) ~ (all_52_12 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3932), (3980) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) ~ (e3 = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_56_0 = e3 & op(e3, all_56_1) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3987) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) op(e3, all_56_1) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3804), (3988) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) op(e3, e0) = e3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3934), (3989), (function-axioms) are
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3990) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) op(e2, e3) = all_56_3
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) op(e2, all_56_3) = e2
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3993) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_58_1 = e1 & op(e3, e2) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3994) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) op(e3, e2) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (3940), (3995), (function-axioms) are
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) all_58_3 = e1 & op(e2, e2) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (3996) are inconsistent by sub-proof
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1591.
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3997) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_58_7 = e1 & op(e1, e2) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3998) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_58_7 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) op(e1, e2) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4001) gives:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_58_12 = e1 & op(e0, e3) = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4002) implies:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_58_12 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3955), (4003) imply:
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) e3 = e1
% 231.54/42.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3939), (3999), (4000), (4004),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1624.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_58_13 = e1 & op(e0, e2) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4005) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) all_58_13 = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (3023), (3939), (3999),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006), (function-axioms) are inconsistent by
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1588.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4007) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_58_14 = e1 & op(e0, e1) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4008) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) op(e0, e1) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (3982), (4009), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_58_15 = e1 & op(e0, e0) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4010) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) op(e0, e0) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3910), (4011), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) all_58_13 = e1 & op(e0, e2) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4012) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_58_13 = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) op(e0, e2) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4015) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) all_58_0 = e2 & op(e3, e3) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4016) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) op(e3, e3) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3809), (4017), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) all_58_2 = e2 & op(e2, e3) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4018) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) op(e2, e3) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (3939), (4020),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1589.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4021) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) all_58_7 = e2 & op(e1, e2) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4022) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_58_7 = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4024) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_58_9 = e1 & op(e3, e0) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (3984), (4025), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_58_10 = e1 & op(e2, e0) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4026) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) op(e2, e0) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_3,
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (3991), (4019) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_56_3 = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3992), (4028) imply:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) op(e2, e2) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (170), (235), (3013), (4014), (4023),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029), (function-axioms) are inconsistent by
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1586.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4030) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) ~ (all_14_1 = e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) op(e2, e0) = all_14_1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3921), (4027), (4031), (4032), (function-axioms)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1584.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3910), (3960), (4033),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1583.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) all_58_13 = e2 & op(e0, e2) = e2
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4013), (4034) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2078.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (3955), (3975), (4035),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1582.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4037) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) op(e1, all_56_5) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3974), (4038) imply:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) op(e1, e1) = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3907), (4039), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4040) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) op(e0, e3) = all_56_7
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) op(e0, all_56_7) = e0
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3956), (4041), (4042), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2070.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (3806), (3934), (4043),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1794.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4044) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4044) gives:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3912), (3952), (4045),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (164), (3017), (3914), (3960), (4046),
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | #1892.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_58_15 = e3 & op(e0, e0) = e3
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4047) implies:
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | (4048) op(e0, e0) = e3
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3910), (4048), (function-axioms) are
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.54/42.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4049) all_58_13 = e3 & op(e0, e2) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (3930), (4049), (function-axioms) are
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | (4050) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (3910), (3949), (4050),
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | #1580.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | (4051) ~ (all_54_6 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (4051) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | (4052) ~ (all_52_9 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | (4053) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (3932), (4052), (4053),
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | #1628.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | (4054) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4054) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4055) all_58_8 = e3 & op(e1, e1) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3907), (4055), (function-axioms) are
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4056) all_58_14 = e3 & op(e0, e1) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4056) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4057) all_58_14 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4058) op(e0, e1) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (4058) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | (4059) all_52_11 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4060) all_54_7 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4060) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4061) all_52_13 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4061) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4062) ~ (all_52_1 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4061) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4063) ~ (all_52_14 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4063) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4064) ~ (all_52_14 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4061) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | (4065) op(e2, e0) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | (4066) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | (3806), (4062), (4066), (function-axioms) are
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1579.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | (4067) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4067) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4068) all_58_6 = e3 & op(e1, e3) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4068) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_58_6 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4070) op(e1, e3) = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4071) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) ~ (all_14_0 = e3)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) op(e2, e0) = all_14_1
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) op(all_14_1, e2) = all_14_0
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3921) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4075) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) op(e2, e0) = all_48_1
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) op(all_48_1, e2) = all_48_0
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (4073), (4076)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) all_48_1 = all_14_1
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4065), (4076) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) all_48_1 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4078), (4079) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) all_14_1 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4080) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) all_14_1 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4077), (4079) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) op(e3, e2) = all_48_0
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4074), (4081) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) op(e3, e2) = all_14_0
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_0,
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3940), (4082) gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) all_48_0 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_0,
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e3, simplifying with (4082), (4083)
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_48_0 = all_14_0
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4084), (4085) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) all_14_0 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4086) implies:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_14_0 = e3
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4072), (4087) imply:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) $false
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4088) is inconsistent.
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4089) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) ~ (all_48_1 = e3)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) op(e2, e0) = all_48_1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4065), (4073), (4090), (4091), (function-axioms)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4092) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) ~ (all_14_1 = e1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) op(e2, e0) = all_14_1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4095) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4096) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) op(e3, e2) = all_56_9
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) op(e3, all_56_9) = e3
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_9,
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3940), (4097) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_56_9 = e3
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4098), (4099) imply:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) op(e3, e3) = e3
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (239), (241),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (3806), (4069), (4100), (function-axioms)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1572.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_56_10 = e2 & op(e2, all_56_11) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4101) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) op(e2, all_56_11) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3011), (4102) imply:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) op(e2, e0) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4065), (4103), (function-axioms) are
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4104) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4105) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) op(e1, e2) = all_56_13
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) op(e1, all_56_13) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (162), (4106)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) all_56_13 = all_52_6
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4107), (4108) imply:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) op(e1, all_52_6) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4110) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_58_4 = e2 & op(e3, e1) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4111) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_58_4 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (221), (224), (242),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800), (3809), (3907), (3910), (3924), (3940),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065), (4070), (4106), (4107), (4112),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_58_5 = e2 & op(e2, e1) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4113) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_58_5 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4115) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_58_4 = e1 & op(e3, e1) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4116) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_58_4 = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3809), (3940), (4118),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4119) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) all_58_4 = e2 & op(e3, e1) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4120) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_58_4 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (221), (224), (242),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800), (3809), (3907), (3910), (3924), (3940),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065), (4070), (4106), (4107), (4121),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1565.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) all_58_9 = e2 & op(e3, e0) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4122) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_58_9 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) op(e3, e0) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4125) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_58_9 = e1 & op(e3, e0) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (221), (224), (3800),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3910), (3924), (4065), (4070), (4106),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107), (4126), (function-axioms) are inconsistent
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1566.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_58_10 = e1 & op(e2, e0) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4127) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) op(e2, e0) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3921), (4093), (4094), (4128), (function-axioms)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1584.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4129) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_58_11 = e1 & op(e1, e0) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4130) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_58_11 = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) op(e1, e0) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4133) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_58_6 = e2 & op(e1, e3) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4069), (4134) are inconsistent by sub-proof
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_58_7 = e2 & op(e1, e2) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4135) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_58_7 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) op(e1, e2) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4138) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_58_2 = e1 & op(e2, e3) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4139) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) op(e2, e3) = e1
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4141) gives:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) all_58_0 = e2 & op(e3, e3) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4142) implies:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) op(e3, e3) = e2
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (242),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (3013), (4123), (4124), (4143),
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1559.
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.88/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_58_2 = e2 & op(e2, e3) = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4144) implies:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) op(e2, e3) = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4140), (4145), (function-axioms) are
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1633.
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4146) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_58_6 = e2 & op(e1, e3) = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4069), (4147) are inconsistent by sub-proof
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_58_12 = e2 & op(e0, e3) = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4148) implies:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_58_12 = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_58_12 = e1 & op(e0, e3) = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4151) implies:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_58_12 = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4149), (4152) imply:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) e2 = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4136), (4153) imply:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_58_7 = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (4069),
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131), (4132), (4154), (function-axioms) are
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1553.
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_58_13 = e1 & op(e0, e2) = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4156) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4155) implies:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_58_13 = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (4132) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_52_14 = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e2,
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4137) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_52_6 = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (4124) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_52_12 = e2
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3934), (4160) imply:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) ~ (e3 = e2)
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4109), (4159) imply:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) op(e1, e2) = e1
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3924) gives:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e2,
% 231.95/42.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4137), (4162) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) e2 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4136), (4163) imply:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_58_7 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (3023), (3939), (4157),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164), (function-axioms) are inconsistent by
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1588.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4165) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) ~ (all_50_1 = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) op(e3, e0) = all_50_1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4124), (4166), (4167), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_58_13 = e2 & op(e0, e2) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4168) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_58_13 = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (236), (3022), (3939), (4136),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) are inconsistent by sub-proof #1750.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_58_14 = e2 & op(e0, e1) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4171) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_58_14 = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4057), (4172) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2117.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_58_15 = e2 & op(e0, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4173) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) op(e0, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3910), (4174), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (158), (219), (3910), (3930),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149), (4175), (function-axioms) are inconsistent
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1549.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_58_3 = e1 & op(e2, e2) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4176) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_58_3 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (4177) imply:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) e1 = e0
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (3907),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057), (4117), (4178), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1623.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_58_5 = e1 & op(e2, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4180) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_58_5 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4114), (4181) imply:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) e2 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4136), (4182) imply:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_58_7 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (4069),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131), (4132), (4183), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1553.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_58_10 = e1 & op(e2, e0) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4184) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) op(e2, e0) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3921), (4093), (4094), (4185), (function-axioms)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1584.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4186) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_58_8 = e2 & op(e1, e1) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4187) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) op(e1, e1) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3907), (4188), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_58_11 = e2 & op(e1, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4189) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) op(e1, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4132), (4190), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2019.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_58_15 = e1 & op(e0, e0) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4191) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) op(e0, e0) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3910), (4192), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_58_5 = e1 & op(e2, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4114), (4193) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4194) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) all_58_8 = e1 & op(e1, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4195) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) op(e1, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3907), (4196), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_58_14 = e1 & op(e0, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4057), (4197) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1900.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3907), (4057), (4198),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4199) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) op(e0, e2) = all_56_15
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) op(e0, all_56_15) = e0
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (158), (4200)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_56_15 = all_52_7
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4201), (4202) imply:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) op(e0, all_52_7) = e0
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4204) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_58_4 = e2 & op(e3, e1) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4205) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_58_4 = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3809), (3940), (4207),
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4208) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_58_4 = e1 & op(e3, e1) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4206), (4209) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2168.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_58_9 = e1 & op(e3, e0) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4210) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_58_9 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4212) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_58_9 = e2 & op(e3, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4211), (4213) are inconsistent by sub-proof
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1745.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_58_10 = e2 & op(e2, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4214) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) op(e2, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4065), (4215), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4216) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_58_11 = e2 & op(e1, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4217) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) op(e1, e0) = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4219) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_58_6 = e1 & op(e1, e3) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4220) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) op(e1, e3) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4070), (4221), (function-axioms) are
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_58_7 = e1 & op(e1, e2) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4222) implies:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_58_7 = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) op(e1, e2) = e1
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 231.95/42.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (3940), (4225),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1546.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4226) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_58_7 = e2 & op(e1, e2) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4227) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_58_7 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4223), (4228) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2134.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_58_13 = e2 & op(e0, e2) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4229) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) op(e0, e2) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4231) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_58_12 = e1 & op(e0, e3) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4232) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_58_12 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4234) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_58_12 = e2 & op(e0, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (217),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (224), (225), (226), (237), (3023),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3910), (3930), (3939), (3940), (4058),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064), (4069), (4070), (4203), (4235),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4230) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_52_7 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (4218) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_52_14 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4203), (4236) imply:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) op(e0, e2) = e0
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4230), (4238), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4239) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_58_14 = e2 & op(e0, e1) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4240) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_58_14 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930), (4230), (4233), (4241), (function-axioms)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1536.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_58_15 = e2 & op(e0, e0) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4242) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) op(e0, e0) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3910), (4243), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_58_13 = e1 & op(e0, e2) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4244) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_58_13 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (3023), (3939), (4223),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245), (function-axioms) are inconsistent by
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1588.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4246) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_58_14 = e1 & op(e0, e1) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4247) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_58_14 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4057), (4248) imply:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) e3 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3939), (4249) imply:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_58_1 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (4223), (4224), (4250),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1714.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_58_15 = e1 & op(e0, e0) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4251) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) op(e0, e0) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3910), (4252), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3907), (4218), (4253),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1567.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_58_15 = e2 & op(e0, e0) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4254) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) op(e0, e0) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3910), (4255), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_58_5 = e2 & op(e2, e1) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4256) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_58_5 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4258) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_58_2 = e1 & op(e2, e3) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4259) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) op(e2, e3) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4261) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_58_0 = e2 & op(e3, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4262) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) op(e3, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3809), (4263), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_58_2 = e2 & op(e2, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4264) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) op(e2, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4260), (4265), (function-axioms) are
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1633.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4266) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_58_6 = e2 & op(e1, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4069), (4267) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_58_12 = e2 & op(e0, e3) = e2
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (217),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (224), (225), (226), (237), (3023),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3910), (3930), (3939), (3940), (4058),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064), (4069), (4070), (4203), (4268),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1543.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_58_3 = e1 & op(e2, e2) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (4269) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4270) gives:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_58_5 = e1 & op(e2, e1) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4257), (4271) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_58_10 = e1 & op(e2, e0) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4272) implies:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) op(e2, e0) = e1
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3921), (4093), (4094), (4273), (function-axioms)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1584.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3907), (4057), (4274),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1547.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_58_12 = e3 & op(e0, e3) = e3
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (239), (241), (243), (391), (3928), (4064),
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | (4275), (function-axioms) are inconsistent by
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1528.
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | (4276) ~ (all_54_7 = e3)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (4276) imply:
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | | (4277) ~ (all_52_13 = e3)
% 231.95/43.00 | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (4278) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4278) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_58_2 = e3 & op(e2, e3) = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4279) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_58_2 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (3934), (4277), (4281),
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4282) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_58_11 = e3 & op(e1, e0) = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4283) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) op(e1, e0) = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (4284) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_52_14 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3901) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4286) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) ~ (all_18_0 = e2)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) op(e1, e0) = all_18_1
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) op(all_18_1, e1) = all_18_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3918) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4290) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) op(e1, e0) = all_28_1
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) op(all_28_1, e1) = all_28_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4284), (4291) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_28_1 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (4288), (4291)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_28_1 = all_18_1
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4293), (4294) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_18_1 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4295) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_18_1 = e3
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4292), (4293) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) op(e3, e1) = all_28_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4289), (4296) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) op(e3, e1) = all_18_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (4298)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_52_8 = all_18_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_0, e1, e3, simplifying with (169), (4297)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_52_8 = all_28_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4299), (4300) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_28_0 = all_18_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (4299) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_54_2 = all_18_0
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4299) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) ~ (all_52_12 = all_18_0)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4303) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) ~ (all_52_12 = all_18_0)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3807), (4299) imply:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) ~ (all_18_0 = e0)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3809), (3940), (4306),
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4307) gives:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_58_4 = e2 & op(e3, e1) = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (168), (170), (242), (281), (3807), (3809),
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943), (4287), (4302), (4304), (4305), (4308),
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1525.
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_58_9 = e2 & op(e3, e0) = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4309) implies:
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_58_9 = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) op(e3, e0) = e2
% 231.95/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (159), (168),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (211), (228), (229), (232), (240),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (281), (3007), (3022), (3023), (3806),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807), (3809), (3905), (3907), (3921), (3932),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940), (3943), (4057), (4058), (4280), (4284),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287), (4302), (4304), (4305), (4310), (4311),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1517.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4312) implies:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) ~ (all_28_1 = e2)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) op(e1, e0) = all_28_1
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4284), (4314) gives:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_28_1 = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (4288), (4314)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_28_1 = all_18_1
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4315), (4316) imply:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_18_1 = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4317) implies:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_18_1 = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4289), (4318) imply:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) op(e3, e1) = all_18_0
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (4319)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_52_8 = all_18_0
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (4320) imply:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_54_2 = all_18_0
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4320) imply:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) ~ (all_52_12 = all_18_0)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4322) implies:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) ~ (all_52_12 = all_18_0)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3807), (4320) imply:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) ~ (all_18_0 = e0)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3809), (3940), (4325),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4326) gives:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) all_58_4 = e2 & op(e3, e1) = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (134), (168), (170), (242), (281), (3807), (3809),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943), (4287), (4321), (4323), (4324), (4327),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1525.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_58_9 = e2 & op(e3, e0) = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4328) implies:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_58_9 = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) op(e3, e0) = e2
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (159), (168),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (211), (228), (229), (232), (240),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (281), (3007), (3022), (3023), (3806),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807), (3809), (3905), (3907), (3921), (3932),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940), (3943), (4057), (4058), (4280), (4284),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287), (4321), (4323), (4324), (4329), (4330),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1517.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3918), (4284), (4331), (function-axioms) are
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_58_15 = e3 & op(e0, e0) = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4332) implies:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) op(e0, e0) = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3910), (4333), (function-axioms) are
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_58_3 = e3 & op(e2, e2) = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3022), (4334) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | | #1516.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (4335) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (4052), (4277), (4335),
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | | #1649.
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | (4336) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.04/43.01 | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.04/43.01 | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (3932), (3934), (4336),
% 232.04/43.01 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.01 | | | | | | | | | | | | | | | | | #1515.
% 232.04/43.01 | | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | End of split
% 232.04/43.01 | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | Case 2:
% 232.04/43.01 | | | | | | | | | | | | | | | |
% 232.04/43.01 | | | | | | | | | | | | | | | | (4337) ~ (all_54_1 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | (4338) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.04/43.02 | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | REDUCE: (282), (4337) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | (4339) ~ (all_52_4 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4340) all_54_11 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4340) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4341) all_52_14 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | SIMP: (4341) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4342) all_52_14 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | REDUCE: (141), (4342) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4343) ~ (all_52_2 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | REDUCE: (126), (4342) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4344) ~ (all_52_6 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | REDUCE: (112), (4342) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4345) ~ (all_52_12 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | REDUCE: (110), (4342) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4346) ~ (all_52_13 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | REDUCE: (160), (4342) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | (4347) op(e1, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | BETA: splitting (3918) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4348) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 232.04/43.02 | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 232.04/43.02 | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | ALPHA: (4348) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4349) ~ (all_28_0 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4350) op(e1, e0) = all_28_1
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4351) op(all_28_1, e1) = all_28_0
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (4352) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (170), (239), (3012),
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (3805), (3806), (4339), (4352), (function-axioms)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1514.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (4353) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (4353) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4354) all_58_4 = e3 & op(e3, e1) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (4354) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4355) op(e3, e1) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | (4356) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (4345), (4346), (4356),
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | #1592.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | (4357) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4358) all_58_11 = e3 & op(e1, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4347), (4350) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4359) all_28_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4355) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4360) all_52_8 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4351), (4359) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4361) op(e3, e1) = all_28_0
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4349), (4355), (4361), (function-axioms) are
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1783.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4362) all_58_15 = e3 & op(e0, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4362) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4363) op(e0, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3910), (4363), (function-axioms) are
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4364) all_58_9 = e3 & op(e3, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (4364) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4365) op(e3, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4345), (4365), (function-axioms) are
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4366) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 232.04/43.02 | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | ALPHA: (4366) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4367) ~ (all_28_1 = e2)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | (4368) op(e1, e0) = all_28_1
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (4369) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (170), (239), (3012),
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (3805), (3806), (4339), (4369), (function-axioms)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1514.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | (4370) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (4370) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4371) all_58_4 = e3 & op(e3, e1) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (4371) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4372) all_58_4 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | (4373) op(e3, e1) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3901) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | (4374) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | ALPHA: (4374) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | (4375) op(e1, e0) = all_18_1
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4376) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4376) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4377) all_58_1 = e3 & op(e3, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4377) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4378) op(e3, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (4339), (4378), (function-axioms) are
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4379) all_58_3 = e3 & op(e2, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4379) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4380) all_58_3 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (4380) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4381) e3 = e0
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4381) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4382) e3 = e0
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4372), (4382) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4383) all_58_4 = e0
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (242), (244),
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (246), (3809), (4339), (4383), (function-axioms)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1512.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | (4384) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4384) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4385) all_58_7 = e3 & op(e1, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4385) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4386) op(e1, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4344), (4386), (function-axioms) are
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4387) all_58_13 = e3 & op(e0, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4387) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4388) all_58_13 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | (4389) op(e0, e2) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (4390) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (4345), (4346), (4390),
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | (4391) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4391) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_58_11 = e3 & op(e1, e0) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4392) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4393) all_58_11 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (4389) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4394) all_52_7 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_18_1,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_28_1, e0, e1, simplifying with (4368), (4375)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4395) all_28_1 = all_18_1
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (4347), (4368) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4396) all_28_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4373) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4397) all_52_8 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4395), (4396) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4398) all_18_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4398) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4399) all_18_1 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4394) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4400) ~ (all_52_3 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4397) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4401) ~ (all_52_9 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4401) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4402) ~ (all_52_9 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4397) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4403) ~ (all_52_11 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4403) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4404) ~ (all_52_11 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4397) imply:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | (4405) ~ (all_52_12 = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (4406) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4406) gives:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4407) all_58_0 = e3 & op(e3, e3) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4407) implies:
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4408) op(e3, e3) = e3
% 232.04/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (4408), (function-axioms) are inconsistent
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4409) all_58_2 = e3 & op(e2, e3) = e3
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4409) implies:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410) all_58_2 = e3
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4411) op(e2, e3) = e3
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4412) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (3804), (4345), (4411), (4412),
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1511.
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4413) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4413) gives:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4414) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4414) implies:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415) op(e1, e3) = all_56_5
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4416) op(e1, all_56_5) = e1
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (4415)
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4417) all_56_5 = all_52_2
% 232.10/43.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4418) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4418) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4419) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (4373), (4419), (function-axioms) are
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1510.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4420) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4420) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421) op(e2, e1) = all_56_19
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4422) op(e2, all_56_19) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (165), (4421)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4423) all_56_19 = all_52_9
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4422), (4423) imply:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4424) op(e2, all_52_9) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4425) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (4411), (4425),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4426) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4426) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4427) all_58_5 = e2 & op(e2, e1) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4427) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428) all_58_5 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4429) op(e2, e1) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4430) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4430) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4431) all_58_2 = e1 & op(e2, e3) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4410), (4431) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1765.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4432) all_58_3 = e1 & op(e2, e2) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (4432) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4433) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4433) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4434) all_58_5 = e1 & op(e2, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4428), (4434) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4435) all_58_10 = e1 & op(e2, e0) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4435) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4436) all_58_10 = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4437) op(e2, e0) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4438) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4438) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4439) all_58_9 = e2 & op(e3, e0) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4439) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4440) all_58_9 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4441) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (8), (9), (221), (3909), (4373), (4393),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4428), (4436), (4440), (4441), (function-axioms)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1505.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4442) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4442) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4443) all_58_8 = e1 & op(e1, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4443) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4444) op(e1, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3907), (4444), (function-axioms) are
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4445) all_58_14 = e1 & op(e0, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4445) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4446) op(e0, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224), (227),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (242), (3007), (3023), (3809), (3907),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909), (3921), (4372), (4373), (4389), (4393),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415), (4416), (4429), (4436), (4437), (4446),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1501.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4447) all_58_10 = e2 & op(e2, e0) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4447) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4448) all_58_10 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4449) op(e2, e0) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (157), (162),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (220), (221), (222), (230),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (236), (237), (238),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (3017), (3022), (3023), (3800), (3809),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3909), (3910), (3913), (3924), (4345),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4388), (4389), (4393), (4402), (4404),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410), (4424), (4448), (4449), (function-axioms)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1491.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4450) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (216),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (3017), (3910), (3914),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4367), (4368), (4450), (function-axioms)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1487.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4451) all_58_10 = e2 & op(e2, e0) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4451) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4452) all_58_10 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4453) op(e2, e0) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (157), (162),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (220), (221), (222), (230),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (236), (237), (238),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (3017), (3022), (3023), (3800), (3809),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3909), (3910), (3913), (3924), (4345),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4388), (4389), (4393), (4402), (4404),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410), (4424), (4452), (4453), (function-axioms)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1491.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4454) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4455) all_56_20 = e1 & op(e1, all_56_21) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4455) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4456) op(e1, all_56_21) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3905), (4456) imply:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4457) op(e1, e0) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e1, e0,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4347), (4457) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4458) e3 = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (4458) imply:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4459) $false
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4459) is inconsistent.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4460) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) op(e0, e1) = all_56_23
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) op(e0, all_56_23) = e0
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_23, e1, e0, simplifying with (157), (4461)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) all_56_23 = all_52_11
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4462), (4463) imply:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) op(e0, all_52_11) = e0
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (4411), (4465),
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4466) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) all_58_5 = e2 & op(e2, e1) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4467) implies:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) all_58_5 = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) op(e2, e1) = e2
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4470) gives:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_58_4 = e1 & op(e3, e1) = e1
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4471) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) op(e3, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4373), (4472), (function-axioms) are
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1823.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_58_5 = e1 & op(e2, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4468), (4473) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1548.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4474) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_58_8 = e1 & op(e1, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4475) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) op(e1, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3907), (4476), (function-axioms) are
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) all_58_14 = e1 & op(e0, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4477) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_58_14 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) op(e0, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4480) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_58_12 = e2 & op(e0, e3) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4481) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_58_12 = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (3809), (4410), (4483),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4484) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) all_58_6 = e1 & op(e1, e3) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4485) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) all_58_6 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4487) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) all_58_2 = e1 & op(e2, e3) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4410), (4488) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1765.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_58_3 = e1 & op(e2, e2) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4489) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_58_3 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (4490) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) e1 = e0
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4491) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) e1 = e0
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4486), (4492) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_58_6 = e0
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (224), (225), (3907),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393), (4493), (function-axioms) are inconsistent
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1978.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4494) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_58_5 = e1 & op(e2, e1) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4495) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_58_5 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (4372),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478), (4496) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1481.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) all_58_10 = e1 & op(e2, e0) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4497) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) all_58_10 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) op(e2, e0) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (224), (227),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (242), (3007), (3023), (3809), (3907),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909), (3921), (4372), (4373), (4389), (4393),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4415), (4416), (4469), (4479), (4498), (4499),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1501.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) all_58_12 = e1 & op(e0, e3) = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4500) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_58_12 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4482), (4501) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) e2 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4468), (4502) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_58_5 = e1
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (4372),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478), (4503) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1481.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) all_58_13 = e2 & op(e0, e2) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4504) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) op(e0, e2) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4389), (4505), (function-axioms) are
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (216),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (227), (229), (3017), (3910),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914), (4346), (4372), (4468), (4478), (4506),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1479.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) all_58_10 = e2 & op(e2, e0) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4507) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) all_58_10 = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) op(e2, e0) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (162),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (216), (218), (220), (221),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (225), (230), (235), (236), (237), (238),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (244), (246), (3017), (3022),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023), (3809), (3907), (3909), (3910), (3914),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339), (4346), (4347), (4367), (4368), (4372),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388), (4389), (4393), (4402), (4404), (4410),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464), (4508), (4509), (function-axioms) are
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1462.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4510) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) op(e0, e3) = all_56_7
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) op(e0, all_56_7) = e0
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (4511)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) all_56_7 = all_52_3
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4512), (4513) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) op(e0, all_52_3) = e0
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4515) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (4373), (4516), (function-axioms) are
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1510.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4517) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) op(e2, e1) = all_56_19
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) op(e2, all_56_19) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (165), (4518)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) all_56_19 = all_52_9
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4519), (4520) imply:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) op(e2, all_52_9) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (4411), (4522),
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4523) gives:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) all_58_5 = e2 & op(e2, e1) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4524) implies:
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) all_58_5 = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) op(e2, e1) = e2
% 232.10/43.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (164),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (216), (218), (219), (220), (221), (222),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (227), (228), (229), (232), (235), (236),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (242), (3017), (3022), (3023),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809), (3907), (3909), (3910), (3914), (4345),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4347), (4367), (4368), (4372), (4373),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389), (4393), (4410), (4514), (4525), (4526),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1452.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) all_58_10 = e2 & op(e2, e0) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4527) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_58_10 = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) op(e2, e0) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (157), (162),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (220), (221), (222), (230),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (231), (232), (234), (235), (236), (237), (238),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (3017), (3022), (3023), (3800), (3809),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907), (3909), (3910), (3913), (3924), (4345),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4388), (4389), (4393), (4402), (4404),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4410), (4521), (4528), (4529), (function-axioms)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1491.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4530) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) all_56_20 = e1 & op(e1, all_56_21) = e1
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4531) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) op(e1, all_56_21) = e1
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3905), (4532) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) op(e1, e0) = e1
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4347), (4533), (function-axioms) are
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1894.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4534) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) op(e0, e1) = all_56_23
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) op(e0, all_56_23) = e0
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_23, e1, e0, simplifying with (157), (4535)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) all_56_23 = all_52_11
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4536), (4537) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) op(e0, all_52_11) = e0
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (3023), (4411), (4539),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4540) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_58_5 = e2 & op(e2, e1) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4541) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_58_5 = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) op(e2, e1) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (160), (164),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (216), (218), (219), (220), (221), (222),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (227), (228), (229), (232), (235), (236),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (242), (3017), (3022), (3023),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809), (3907), (3909), (3910), (3914), (4345),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346), (4347), (4367), (4368), (4372), (4373),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4389), (4393), (4410), (4514), (4542), (4543),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1452.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) all_58_10 = e2 & op(e2, e0) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4544) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_58_10 = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) op(e2, e0) = e2
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (160), (162),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (170), (216), (218), (220), (221),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (225), (230), (235), (236), (237), (238),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (244), (246), (3017), (3022),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023), (3809), (3907), (3909), (3910), (3914),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339), (4346), (4347), (4367), (4368), (4372),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4388), (4389), (4393), (4402), (4404), (4410),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538), (4545), (4546), (function-axioms) are
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1462.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (4343), (4400), (4547),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | | #1451.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4548) all_58_15 = e3 & op(e0, e0) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4548) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | (4549) op(e0, e0) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3910), (4549), (function-axioms) are
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | (4550) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3918), (4347), (4550), (function-axioms) are
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4551) all_58_9 = e3 & op(e3, e0) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4551) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4552) op(e3, e0) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4345), (4552), (function-axioms) are
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | End of split
% 232.10/43.05 | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | (4553) ~ (all_54_11 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | (4554) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 232.10/43.05 | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | REDUCE: (258), (4553) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | (4555) ~ (all_52_14 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4556) all_54_13 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (4556) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4557) all_52_7 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | SIMP: (4557) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4558) all_52_7 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | REDUCE: (128), (4558) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4559) ~ (all_52_6 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | REDUCE: (125), (4558) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4560) ~ (all_52_11 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | SIMP: (4560) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | (4561) ~ (all_52_11 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | (4562) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (4562) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4563) all_58_12 = e3 & op(e0, e3) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (226), (239), (241), (243), (391), (4555), (4559),
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4563), (function-axioms) are inconsistent by
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | sub-proof #1528.
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4564) all_58_13 = e3 & op(e0, e2) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (4564) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4565) all_58_13 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | (4566) op(e0, e2) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | (4567) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4567) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4568) all_58_6 = e3 & op(e1, e3) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4568) implies:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4569) all_58_6 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4570) op(e1, e3) = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (4570) gives:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4571) all_52_2 = e3
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4571) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4572) ~ (all_52_1 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (4571) imply:
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | (4573) ~ (all_52_3 = e3)
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4573) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | (4574) ~ (all_52_3 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4571) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | (4575) ~ (all_52_6 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4571) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | (4576) ~ (all_52_14 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | (4577) all_54_12 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (4574), (4577) are inconsistent by
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | (4578) ~ (all_54_12 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | (4579) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | (4580) all_54_9 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (4559), (4580) are inconsistent by
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | (4581) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_54_14 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (4561), (4582) are inconsistent by
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | (4583) ~ (all_54_14 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) all_54_7 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4585) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_52_13 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4586) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_52_13 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (4587) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) ~ (all_52_9 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4587) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) op(e2, e0) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4590) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) op(e2, e0) = all_14_1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) op(all_14_1, e2) = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4593) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_58_4 = e3 & op(e3, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4594) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_58_4 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) op(e3, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3921) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4597) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) ~ (all_48_0 = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) op(e2, e0) = all_48_1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) op(all_48_1, e2) = all_48_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (4591), (4599)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_48_1 = all_14_1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4589), (4599) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_48_1 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4596) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_52_8 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4601), (4602) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_14_1 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4600), (4602) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) op(e3, e2) = all_48_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4592), (4604) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) op(e3, e2) = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_14_0, e2, e3, simplifying with (170), (4606)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_52_4 = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e3, simplifying with (170), (4605)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_52_4 = all_48_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4607), (4608) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_48_0 = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4609) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_48_0 = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (4607) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_54_1 = all_14_0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4607) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) ~ (all_52_6 = all_14_0)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4612) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) ~ (all_52_6 = all_14_0)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4339), (4607) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) ~ (all_14_0 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3013), (4607) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) ~ (all_14_0 = e0)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4598), (4610) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) ~ (all_14_0 = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_58_1 = e1 & op(e3, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4618) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) op(e3, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4338), (4606), (4611), (4615), (4616), (4619),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1449.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_58_3 = e1 & op(e2, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (4620) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4621) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_58_7 = e1 & op(e1, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4622) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_58_7 = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) op(e1, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3809), (4623), (4624), (4625),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1609.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4626) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_58_4 = e1 & op(e3, e1) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4595), (4627) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_58_9 = e1 & op(e3, e0) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4628) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) op(e3, e0) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4338) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_54_1 = e2
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4611), (4630) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) all_14_0 = e2
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4631) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_14_0 = e2
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4613), (4632) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) ~ (all_52_6 = e2)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4614), (4632) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) ~ (e3 = e2)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4606), (4632) imply:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) op(e3, e2) = e2
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (126), (159), (170), (212), (258),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (3011), (3014), (3800), (3806), (3907),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914), (3924), (4339), (4554), (4566), (4581),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589), (4624), (4629), (4633), (4635),
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1448.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_54_1 = e1 | all_54_1 = e0
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4611), (4615), (4616), (4636) are inconsistent by
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1450.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_58_13 = e1 & op(e0, e2) = e1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4565), (4637) are inconsistent by sub-proof
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2013.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4638) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) ~ (all_48_1 = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) op(e2, e0) = all_48_1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4589), (4591), (4639), (4640), (function-axioms)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_58_5 = e3 & op(e2, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4588), (4641), (function-axioms) are
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_58_8 = e3 & op(e1, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3907), (4643), (function-axioms) are
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_58_14 = e3 & op(e0, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4561), (4644), (function-axioms) are
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4645) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) ~ (all_14_1 = e1)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) op(e2, e0) = all_14_1
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4648) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_58_4 = e3 & op(e3, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4649) implies:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_58_4 = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) op(e3, e1) = e3
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3921) gives:
% 232.10/43.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4652) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) ~ (all_48_0 = e1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) op(e2, e0) = all_48_1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) op(all_48_1, e2) = all_48_0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (4647), (4654)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_48_1 = all_14_1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (4589), (4654) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_48_1 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4651) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_52_8 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4656), (4657) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_14_1 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4655), (4657) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) op(e3, e2) = all_48_0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e3, simplifying with (170), (4660)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_52_4 = all_48_0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (4661) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_54_1 = all_48_0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (4661) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) ~ (all_52_6 = all_48_0)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4663) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) ~ (all_52_6 = all_48_0)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4339), (4661) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) ~ (all_48_0 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3013), (4661) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) ~ (all_48_0 = e0)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4667) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_58_1 = e1 & op(e3, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4668) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) op(e3, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4338), (4653), (4660), (4662), (4666), (4669),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1446.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_58_3 = e1 & op(e2, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3022), (4670) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4671) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_58_7 = e1 & op(e1, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4672) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_58_7 = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) op(e1, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (3023), (3809), (4673), (4674), (4675),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1609.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4676) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) all_58_4 = e1 & op(e3, e1) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4650), (4677) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_58_9 = e1 & op(e3, e0) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4678) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) op(e3, e0) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4338) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_54_1 = e2
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4662), (4680) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_48_0 = e2
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4681) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_48_0 = e2
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4664), (4682) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) ~ (all_52_6 = e2)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4665), (4682) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) ~ (e3 = e2)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4660), (4682) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) op(e3, e2) = e2
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9), (126), (159), (170), (212), (258),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (3011), (3014), (3800), (3806), (3907),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914), (3924), (4339), (4554), (4566), (4581),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589), (4674), (4679), (4683), (4685),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1448.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_54_1 = e1 | all_54_1 = e0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4653), (4662), (4666), (4686) are inconsistent by
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1447.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_58_13 = e1 & op(e0, e2) = e1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4565), (4687) are inconsistent by sub-proof
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2013.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4688) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) ~ (all_48_1 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) op(e2, e0) = all_48_1
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4589), (4647), (4689), (4690), (function-axioms)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_58_5 = e3 & op(e2, e1) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (4588), (4691), (function-axioms) are
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4692) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_58_8 = e3 & op(e1, e1) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3907), (4693), (function-axioms) are
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_58_14 = e3 & op(e0, e1) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4561), (4694), (function-axioms) are
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) ~ (all_54_7 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (4695) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) ~ (all_52_13 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4698) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_58_9 = e3 & op(e3, e0) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4699) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) op(e3, e0) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4701) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_58_2 = e3 & op(e2, e3) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4702) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) op(e2, e3) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4572), (4703), (function-axioms) are
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_58_3 = e3 & op(e2, e2) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4704) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_58_3 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3022), (4705) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) e3 = e0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4706) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) e3 = e0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4569), (4707) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_58_6 = e0
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (241), (243),
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (3809), (4572), (4708), (function-axioms)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4709) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_58_5 = e3 & op(e2, e1) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4710) implies:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) op(e2, e1) = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4711) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_52_9 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4700) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_52_12 = e3
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4713) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) ~ (all_52_8 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4713) imply:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) ~ (all_52_13 = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4716) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4717) gives:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4718) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) op(e2, e3) = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4572), (4719), (function-axioms) are
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4720) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4721) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_56_9 = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) ~ (all_56_31 = e3)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e2, e3) = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) op(e3, e2) = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3924) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4726) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) op(e3, e0) = all_50_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3800) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4728) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) op(e3, e0) = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (110), (121), (134), (145),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (159), (160), (164), (167), (169), (170),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (211), (212), (216), (218), (220), (221),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (228), (236), (240), (242), (244), (246),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (269), (281), (3011), (3013),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017), (3022), (3806), (3807), (3809), (3905),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906), (3907), (3910), (3914), (4339), (4565),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566), (4579), (4584), (4696), (4697), (4700),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711), (4714), (4722), (4724), (4725), (4727),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729), (function-axioms) are inconsistent by
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4730) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) op(e3, e0) = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (110), (121), (134), (145),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (159), (160), (164), (167), (169), (170),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (211), (212), (216), (218), (220), (221),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (228), (236), (240), (242), (244), (246),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (257), (269), (281), (3011), (3013),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017), (3022), (3806), (3807), (3809), (3905),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906), (3907), (3910), (3914), (4339), (4565),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566), (4579), (4584), (4696), (4697), (4700),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711), (4714), (4722), (4724), (4725), (4727),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731), (function-axioms) are inconsistent by
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1432.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4732) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) ~ (all_50_1 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) op(e3, e0) = all_50_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3800) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4735) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) op(e3, e0) = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4724) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) all_52_1 = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4700), (4734) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_50_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (4734), (4736)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_50_1 = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (4725) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_52_4 = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4738), (4739) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) all_16_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4741) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) all_16_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4737) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) ~ (all_52_3 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4743) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) ~ (all_52_3 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4737) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) ~ (all_52_13 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4745) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) ~ (all_52_13 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4740) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) ~ (all_52_8 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4747) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) ~ (all_52_8 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (121), (159),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (169), (170), (202), (211), (212),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (220), (221), (222), (228), (236),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (244), (246), (255), (257), (269),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (3011), (3017), (3022), (3806), (3807),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809), (3905), (3906), (3907), (3910), (3914),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339), (4565), (4566), (4579), (4584), (4696),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697), (4711), (4714), (4722), (4736), (4742),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744), (4746), (4748), (function-axioms) are
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1433.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4749) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) ~ (all_16_1 = e1)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) op(e3, e0) = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4724) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) all_52_1 = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (4700), (4734) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) all_50_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (4734), (4751)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_50_1 = all_16_1
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (4725) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) all_52_4 = e2
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4753), (4754) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) all_16_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4756) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_16_1 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4752) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) ~ (all_52_3 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4758) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) ~ (all_52_3 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4752) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) ~ (all_52_13 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4760) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) ~ (all_52_13 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (4755) imply:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) ~ (all_52_8 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4762) implies:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) ~ (all_52_8 = e2)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_54_2 = e3
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (4714), (4764) are inconsistent by
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) ~ (all_54_2 = e3)
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (121), (159),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (169), (170), (211), (212), (216),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (228), (236), (240),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (244), (246), (255), (257), (269), (281),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011), (3017), (3022), (3806), (3807), (3809),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905), (3906), (3907), (3910), (3914), (4339),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4565), (4566), (4579), (4584), (4696), (4697),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700), (4711), (4714), (4722), (4759), (4761),
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763), (4766), (function-axioms) are inconsistent
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1434.
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4767) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) op(e3, e1) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4714), (4768), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4769) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4770) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) op(e1, e3) = e1
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4570), (4771), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3806), (4574), (4772), (function-axioms)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2330.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4773) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (4566), (4711), (4774),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2253.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3912), (3914), (4775),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) all_58_10 = e3 & op(e2, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4776) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) op(e2, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4697), (4777), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_58_10 = e3 & op(e2, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4778) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) op(e2, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4697), (4779), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3910), (4555), (4780),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4781) all_58_7 = e3 & op(e1, e2) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4781) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4782) op(e1, e2) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (4559), (4782), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | (4783) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3907), (4555), (4783),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | #1909.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | (4784) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (3910), (4561), (4784),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | #1580.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.09 | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | (4785) ~ (all_54_13 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | REDUCE: (256), (4785) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | (4786) ~ (all_52_7 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | (4787) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (3022), (4339), (4787),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | #1430.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | (4788) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (4788) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4789) all_58_7 = e3 & op(e1, e2) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (4789) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4790) all_58_7 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4791) op(e1, e2) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (4791) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4792) all_52_6 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (4792) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4793) ~ (all_52_2 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (4792) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4794) ~ (all_52_7 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4792) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | (4795) ~ (all_52_14 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | (4796) all_54_8 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (4793), (4796) are inconsistent by
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | (4797) ~ (all_54_8 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | (4798) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4799) all_54_14 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (4799) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4800) all_52_11 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4800) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4801) all_52_11 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4801) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4802) ~ (all_52_8 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4801) imply:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | (4803) ~ (all_52_9 = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | (4804) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (4802), (4803), (4804),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | #1628.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | (4805) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4805) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_58_8 = e3 & op(e1, e1) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (3907), (4806), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_58_14 = e3 & op(e0, e1) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4807) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_58_14 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | (4809) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (170), (239), (3012),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806), (4339), (4809), (function-axioms)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1514.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | (4810) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4810) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_58_4 = e3 & op(e3, e1) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4811) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) op(e3, e1) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4802), (4812), (function-axioms) are
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_58_9 = e3 & op(e3, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4813) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_58_9 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) op(e3, e0) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4816) gives:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_58_0 = e3 & op(e3, e3) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4817) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) op(e3, e3) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (239), (3012), (3805),
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806), (4818), (function-axioms) are inconsistent
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1938.
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_58_2 = e3 & op(e2, e3) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4819) implies:
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) op(e2, e3) = e3
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4820) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_52_1 = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4815) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_52_12 = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (4821) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) ~ (all_52_2 = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4821) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) ~ (all_52_3 = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4824) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) ~ (all_52_3 = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4826) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (170), (4339), (4793), (4820), (4827),
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1429.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4828) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4829) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) op(e1, e3) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) op(e3, e1) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (4830) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_52_2 = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (4831) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) all_52_8 = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4832) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) ~ (all_52_14 = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4834) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) ~ (all_52_14 = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4802), (4833) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) ~ (e3 = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4554) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) all_54_11 = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (4837) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) all_52_14 = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4838) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) all_52_14 = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (4839) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) op(e1, e0) = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4841) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_58_9 = e1 & op(e3, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4842) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) all_58_9 = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4814), (4843) are inconsistent by sub-proof
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1709.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_58_10 = e1 & op(e2, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4844) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) op(e2, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3007), (3921), (4791), (4845), (function-axioms)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1427.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4846) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_58_11 = e1 & op(e1, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4847) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) op(e1, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4840), (4848), (function-axioms) are
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2019.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_58_15 = e1 & op(e0, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4849) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) op(e0, e0) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3910), (4850), (function-axioms) are
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) all_54_11 = e1 | all_54_11 = e0
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (3914), (4835), (4851) are inconsistent by
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2174.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3806), (4825), (4852), (function-axioms)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2330.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4853) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4854) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4855) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) op(e1, e2) = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4791), (4856), (function-axioms) are
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2207.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4857) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4858) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) op(e1, e2) = e1
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4791), (4859), (function-axioms) are
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2094.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4860) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) ~ (all_56_31 = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3912), (4861) imply:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) $false
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4862) is inconsistent.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (3017), (3912), (3914), (4863),
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4864) gives:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) all_58_6 = e3 & op(e1, e3) = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4865) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) op(e1, e3) = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (4793), (4866), (function-axioms) are
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_58_12 = e3 & op(e0, e3) = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4867) implies:
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_58_12 = e3
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (216), (217), (218),
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808), (4868), (function-axioms) are inconsistent
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1862.
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | (4869) ~ (all_54_14 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (4869) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | (4870) ~ (all_52_11 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | (4871) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4871) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_58_12 = e3 & op(e0, e3) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4872) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_58_12 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (4874) op(e0, e3) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (4874) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (4875) all_52_3 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (4875) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | (4876) ~ (all_52_1 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4877) all_54_7 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (4877) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_52_13 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4878) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_52_13 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4879) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4880) ~ (all_52_12 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (4879) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4881) op(e2, e0) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (159), (163), (167), (170), (239), (3012),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (3805), (3806), (4339), (4882), (function-axioms)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1514.
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4883) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_58_4 = e3 & op(e3, e1) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4884) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_58_4 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) op(e3, e1) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4887) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) op(e2, e0) = all_14_1
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (120), (121), (123), (149), (157),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (164), (165), (167), (168),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (213), (214), (230), (268), (3017), (3023),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804), (3805), (3806), (3807), (3907), (3912),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914), (3921), (4791), (4793), (4798), (4874),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876), (4881), (4885), (4886), (4888),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) op(e2, e0) = all_14_1
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (9), (120), (121), (123), (149), (157),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (164), (165), (167), (168),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (213), (214), (230), (268), (3017), (3023),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804), (3805), (3806), (3807), (3907), (3912),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914), (3921), (4791), (4793), (4798), (4874),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876), (4881), (4885), (4886), (4890),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1425.
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) all_58_9 = e3 & op(e3, e0) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4891) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) op(e3, e0) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4880), (4892), (function-axioms) are
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4893) ~ (all_54_7 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (4893) imply:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | (4894) ~ (all_52_13 = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (3022), (4876), (4895),
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #1424.
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4896) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_58_5 = e3 & op(e2, e1) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) op(e2, e1) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4899) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_58_9 = e3 & op(e3, e0) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4900) implies:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) op(e3, e0) = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (4898) gives:
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_52_9 = e3
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.10/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (4901) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_52_12 = e3
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (4903) imply:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) ~ (all_52_8 = e3)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4903) imply:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) ~ (all_52_13 = e3)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4906) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) all_58_6 = e2 & op(e1, e3) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4907) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_58_6 = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) op(e1, e3) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4910) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) all_58_6 = e1 & op(e1, e3) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4908), (4911) are inconsistent by sub-proof
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1423.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_58_7 = e1 & op(e1, e2) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4790), (4912) are inconsistent by sub-proof
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1422.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4913) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_58_8 = e1 & op(e1, e1) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4914) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) op(e1, e1) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3907), (4915), (function-axioms) are
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_58_11 = e1 & op(e1, e0) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4916) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) all_58_11 = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) op(e1, e0) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4919) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) all_58_0 = e1 & op(e3, e3) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4920) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) op(e3, e3) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3809), (4921), (function-axioms) are
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_58_2 = e1 & op(e2, e3) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4922) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) all_58_2 = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) op(e2, e3) = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_58_2 = e2 & op(e2, e3) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4923), (4926) are inconsistent by sub-proof
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1976.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_58_3 = e2 & op(e2, e2) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4927) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) op(e2, e2) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3023), (4928), (function-axioms) are
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2137.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4929) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) all_58_5 = e2 & op(e2, e1) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4930) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) op(e2, e1) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4898), (4931), (function-axioms) are
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_58_10 = e2 & op(e2, e0) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4932) implies:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) op(e2, e0) = e2
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (4918) gives:
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_52_14 = e1
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e2,
% 232.47/43.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (4909) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_52_2 = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (4933) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) all_52_13 = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (4924) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_52_1 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4894), (4936) imply:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) ~ (e3 = e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4555), (4934) imply:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) ~ (e3 = e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4940) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4941) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4942) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) op(e2, e3) = e3
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (4876), (4943), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4944) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4945) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) op(e2, e3) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4924), (4946), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1633.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4947) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) op(e3, e1) = e3
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (4904), (4948), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4949) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4950) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) op(e1, e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4909), (4951), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (3806), (3912), (4952), (function-axioms)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2308.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4953) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (3912), (4898), (4954),
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1581.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4955) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4956) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) op(e2, e0) = e0
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (4933), (4957), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (3912), (4918), (4958), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2283.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4959) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) all_58_6 = e1 & op(e1, e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (4908), (4960) are inconsistent by sub-proof
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1423.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_58_12 = e1 & op(e0, e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4961) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_58_12 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4873), (4962) imply:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) e3 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4790), (4963) imply:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) all_58_7 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (225),
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (4555), (4917), (4918), (4964),
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1417.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_58_7 = e2 & op(e1, e2) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (4790), (4965) are inconsistent by sub-proof
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4966) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) all_58_8 = e2 & op(e1, e1) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4967) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4968) op(e1, e1) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (3907), (4968), (function-axioms) are
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4969) all_58_11 = e2 & op(e1, e0) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4969) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4970) op(e1, e0) = e2
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4971) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4971) gives:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4972) all_58_6 = e1 & op(e1, e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4972) implies:
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4973) all_58_6 = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4974) op(e1, e3) = e1
% 232.47/43.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (232), (241), (243),
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007), (3022), (3809), (3921), (4791), (4873),
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898), (4973), (4974), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1415.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4975) all_58_7 = e1 & op(e1, e2) = e1
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (4790), (4975) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1422.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4976) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (3907), (4970), (4976),
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1567.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4977) all_58_10 = e3 & op(e2, e0) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4977) implies:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4978) op(e2, e0) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4894), (4978), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4979) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (3910), (4555), (4979),
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4980) all_58_10 = e3 & op(e2, e0) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4980) implies:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4981) op(e2, e0) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (4894), (4981), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | (4982) all_58_13 = e3 & op(e0, e2) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4786), (4982), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | (4983) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (3910), (4870), (4983),
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | | #1580.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | (4984) all_58_13 = e3 & op(e0, e2) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4786), (4984), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | (4985) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 232.47/43.13 | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 232.47/43.13 | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 232.47/43.13 | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 232.47/43.13 | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | ALPHA: (4985) implies:
% 232.47/43.13 | | | | | | | | | | | | (4986) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 232.47/43.13 | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 232.47/43.13 | | | | | | | | | | | | e1) = e0)
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | BETA: splitting (4986) gives:
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | (4987) all_58_12 = e0 & op(e0, e3) = e0
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | ALPHA: (4987) implies:
% 232.47/43.13 | | | | | | | | | | | | | (4988) op(e0, e3) = e0
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | REF_CLOSE: (159), (3806), (4988), (function-axioms) are
% 232.47/43.13 | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | (4989) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 232.47/43.13 | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | REF_CLOSE: (157), (158), (3015), (3906), (4989),
% 232.47/43.13 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | #1414.
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | End of split
% 232.47/43.13 | | | | | | | | |
% 232.47/43.13 | | | | | | | | End of split
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | (4990) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 = e0 &
% 232.47/43.13 | | | | | | | | op(e0, e2) = e0)
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | REF_CLOSE: (158), (162), (3014), (3015), (4990),
% 232.47/43.13 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | #1990.
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | End of split
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | End of split
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | Case 2:
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | (4991) all_12_2 = e3
% 232.47/43.13 | | | | | | (4992) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 & op(e0,
% 232.47/43.13 | | | | | | e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 232.47/43.13 | | | | | | (all_12_1 = e2) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | COMBINE_EQS: (346), (4991) imply:
% 232.47/43.13 | | | | | | (4993) all_4_2 = e3
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | COMBINE_EQS: (334), (4993) imply:
% 232.47/43.13 | | | | | | (4994) all_26_2 = e3
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | COMBINE_EQS: (254), (4993) imply:
% 232.47/43.13 | | | | | | (4995) all_56_31 = e3
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (368), (4993) imply:
% 232.47/43.13 | | | | | | (4996) ~ (all_52_3 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (379), (4993) imply:
% 232.47/43.13 | | | | | | (4997) ~ (all_52_7 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (386), (4993) imply:
% 232.47/43.13 | | | | | | (4998) ~ (all_52_11 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (387), (4993) imply:
% 232.47/43.13 | | | | | | (4999) ~ (all_52_12 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (388), (4993) imply:
% 232.47/43.13 | | | | | | (5000) ~ (all_52_13 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | REDUCE: (389), (4993) imply:
% 232.47/43.13 | | | | | | (5001) ~ (all_52_14 = e3)
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | BETA: splitting (222) gives:
% 232.47/43.13 | | | | | |
% 232.47/43.13 | | | | | | Case 1:
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | | (5002) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 &
% 232.47/43.13 | | | | | | | op(e2, e0) = e3)
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | | REF_CLOSE: (164), (168), (4999), (5000), (5002), (function-axioms)
% 232.47/43.13 | | | | | | | are inconsistent by sub-proof #1592.
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | Case 2:
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | | (5003) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 &
% 232.47/43.13 | | | | | | | op(e0, e0) = e3)
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | | BETA: splitting (5003) gives:
% 232.47/43.13 | | | | | | |
% 232.47/43.13 | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | (5004) all_58_11 = e3 & op(e1, e0) = e3
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | ALPHA: (5004) implies:
% 232.47/43.13 | | | | | | | | (5005) op(e1, e0) = e3
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | REF_CLOSE: (160), (5001), (5005), (function-axioms) are
% 232.47/43.13 | | | | | | | | inconsistent by sub-proof #2149.
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | (5006) all_58_15 = e3 & op(e0, e0) = e3
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | ALPHA: (5006) implies:
% 232.47/43.13 | | | | | | | | (5007) all_58_15 = e3
% 232.47/43.13 | | | | | | | | (5008) op(e0, e0) = e3
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | BETA: splitting (52) gives:
% 232.47/43.13 | | | | | | | |
% 232.47/43.13 | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | |
% 232.47/43.13 | | | | | | | | | (5009) ~ (all_14_2 = e0)
% 232.47/43.13 | | | | | | | | |
% 232.47/43.13 | | | | | | | | | REDUCE: (344), (5009) imply:
% 232.47/43.13 | | | | | | | | | (5010) ~ (all_8_2 = e0)
% 232.47/43.13 | | | | | | | | |
% 232.47/43.13 | | | | | | | | | BETA: splitting (55) gives:
% 232.47/43.13 | | | | | | | | |
% 232.47/43.13 | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | (5011) ~ (all_16_2 = e0)
% 232.47/43.13 | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | REDUCE: (342), (5011) imply:
% 232.47/43.13 | | | | | | | | | | (5012) ~ (all_10_2 = e0)
% 232.47/43.13 | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | BETA: splitting (58) gives:
% 232.47/43.13 | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | (5013) ~ (all_18_2 = e0)
% 232.47/43.13 | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | REDUCE: (339), (5013) imply:
% 232.47/43.13 | | | | | | | | | | | (5014) ~ (all_6_2 = e0)
% 232.47/43.13 | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | BETA: splitting (64) gives:
% 232.47/43.13 | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | (5015) ~ (all_22_2 = e1)
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | REDUCE: (326), (5015) imply:
% 232.47/43.13 | | | | | | | | | | | | (5016) ~ (all_8_2 = e1)
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | BETA: splitting (199) gives:
% 232.47/43.13 | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | (5017) all_54_5 = e3
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | COMBINE_EQS: (275), (5017) imply:
% 232.47/43.13 | | | | | | | | | | | | | (5018) all_8_2 = e3
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | REDUCE: (392), (5018) imply:
% 232.47/43.13 | | | | | | | | | | | | | (5019) $false
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | CLOSE: (5019) is inconsistent.
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | (5020) ~ (all_54_5 = e3)
% 232.47/43.13 | | | | | | | | | | | | | (5021) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | BETA: splitting (5021) gives:
% 232.47/43.13 | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | (5022) all_54_5 = e2
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | COMBINE_EQS: (275), (5022) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5023) all_8_2 = e2
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | COMBINE_EQS: (353), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5024) all_56_11 = e2
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (366), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5025) ~ (all_52_1 = e2)
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (373), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5026) ~ (all_52_7 = e2)
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (375), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5027) ~ (all_52_9 = e2)
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (377), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5028) ~ (all_52_13 = e2)
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (392), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5029) ~ (e3 = e2)
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | REDUCE: (42), (5023) imply:
% 232.47/43.13 | | | | | | | | | | | | | | (5030) op(e2, e2) = e2
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 232.47/43.13 | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | (5031) ~ (all_24_2 = e2)
% 232.47/43.13 | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | REDUCE: (301), (5031) imply:
% 232.47/43.13 | | | | | | | | | | | | | | | (5032) ~ (all_10_2 = e2)
% 232.47/43.13 | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 232.47/43.13 | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | (5033) all_54_0 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5033) imply:
% 232.47/43.13 | | | | | | | | | | | | | | | | (5034) all_10_2 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | SIMP: (5034) implies:
% 232.47/43.13 | | | | | | | | | | | | | | | | (5035) all_10_2 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | REDUCE: (355), (5035) imply:
% 232.47/43.13 | | | | | | | | | | | | | | | | (5036) ~ (all_52_1 = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | REDUCE: (361), (5035) imply:
% 232.47/43.13 | | | | | | | | | | | | | | | | (5037) ~ (all_52_4 = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | REDUCE: (45), (5035) imply:
% 232.47/43.13 | | | | | | | | | | | | | | | | (5038) op(e3, e3) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 232.47/43.13 | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | (5039) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (5030), (5036), (5039),
% 232.47/43.13 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.13 | | | | | | | | | | | | | | | | | #1413.
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | (5040) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.47/43.13 | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 232.47/43.13 | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | (5041) all_58_5 = e3 & op(e2, e1) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | ALPHA: (5041) implies:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | (5042) all_58_5 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | (5043) op(e2, e1) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.47/43.13 | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | (5044) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.47/43.13 | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (5044) gives:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | (5045) all_58_1 = e3 & op(e3, e2) = e3
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (5045) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5046) op(e3, e2) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5037), (5046), (function-axioms) are
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5047) all_58_3 = e3 & op(e2, e2) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (5047) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5048) op(e2, e2) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5030), (5048), (function-axioms) are
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | (5049) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (5049) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5050) all_58_7 = e3 & op(e1, e2) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | ALPHA: (5050) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5051) all_58_7 = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5052) op(e1, e2) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5052) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5053) all_52_6 = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5043) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5054) all_52_9 = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5053) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5055) ~ (all_52_14 = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5054) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5056) ~ (all_52_8 = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5054) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5057) ~ (all_52_11 = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (5054) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | (5058) ~ (all_6_2 = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5059) ~ (all_36_2 = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (5059) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5060) ~ (all_6_2 = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | (5061) all_54_10 = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (5061) are inconsistent by sub-proof
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | #2313.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | (5062) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5062) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5063) all_54_10 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (5060), (5063) are inconsistent by
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5064) all_54_10 = e1 | all_54_10 = e0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5064) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_54_10 = e1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (5065) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5066) all_6_2 = e1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5066) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5067) all_6_2 = e1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (5067) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_56_21 = e1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (5067) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5069) ~ (all_52_8 = e1)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5067) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5070) ~ (all_52_14 = e1)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5071) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5071) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5072) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5073) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) op(e2, e3) = e3
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5036), (5074), (function-axioms) are
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (5025), (5056), (5075),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1608.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (4995), (4996), (5069), (5076),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5077) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (165), (297), (381), (5014), (5024),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5026), (5027), (5064), (5068), (5070), (5077),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | #1408.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_54_10 = e0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (5014), (5078) are inconsistent by
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5079) all_36_2 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5080) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (5079) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5081) all_6_2 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (5081) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5082) all_6_2 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (5082) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5083) all_40_2 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (5082) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5084) all_56_21 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5082) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | (5085) op(e1, e1) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | (5086) ~ (all_40_2 = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5083), (5086) imply:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | (5087) $false
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5087) is inconsistent.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | (5088) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5088) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5089) ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0 &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5089) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5090) ~ (all_40_0 = e0)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5091) op(e1, e2) = all_40_1
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | (5092) op(all_40_1, e1) = all_40_0
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5093) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (5025), (5038), (5093),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | #1407.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | (5094) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5094) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_58_6 = e2 & op(e1, e3) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5095) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_58_6 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5001), (5052), (5080), (5085), (5091),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5096), (function-axioms) are inconsistent by
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1405.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5097) all_58_12 = e2 & op(e0, e3) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5097) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5098) all_58_12 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5099) op(e0, e3) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5100) gives:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) all_58_0 = e2 & op(e3, e3) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5101) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) op(e3, e3) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (241),
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (5036), (5098), (5102), (function-axioms)
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1403.
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) all_58_1 = e2 & op(e3, e2) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5103) implies:
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) all_58_1 = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) op(e3, e2) = e2
% 232.47/43.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (236),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5030), (5051), (5104), (5105),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1810.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5106) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_58_4 = e2 & op(e3, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5107) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) all_58_4 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (227), (228),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (5042), (5085), (5108), (function-axioms)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2155.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) all_58_9 = e2 & op(e3, e0) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5109) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) all_58_9 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) op(e3, e0) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5112) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_58_4 = e2 & op(e3, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5113) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) all_58_4 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (5038),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110), (5111), (5114), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1402.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) all_58_5 = e2 & op(e2, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5115) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) op(e2, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5027), (5116), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5117) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_58_8 = e2 & op(e1, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (5099) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) all_52_3 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_40_1,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5052), (5091) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) all_40_1 = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (5111) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_52_12 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5119) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) ~ (all_52_11 = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5122) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) ~ (all_52_11 = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (5121) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) ~ (all_52_8 = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5092), (5120) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) op(e3, e1) = all_40_0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5080) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) op(e1, e2) = all_36_1
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_36_1,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5052), (5127) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) all_36_1 = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e3, simplifying with (169), (5125)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_52_8 = all_40_0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (5129) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) all_54_2 = all_40_0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5129) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) ~ (all_52_4 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5129) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) ~ (all_52_11 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5132) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) ~ (all_52_11 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5056), (5129) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) ~ (all_40_0 = e3)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5124), (5129) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) ~ (all_40_0 = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5136) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_58_4 = e0 & op(e3, e1) = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5137) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) all_58_4 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (170), (202), (242),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (5037), (5090), (5110), (5111), (5130),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131), (5134), (5135), (5138), (function-axioms)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1399.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) all_58_5 = e0 & op(e2, e1) = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5139) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) all_58_5 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5042), (5140) are inconsistent by sub-proof
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2038.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (167), (169), (190), (202), (211),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (4998), (5008), (5025), (5043), (5052),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056), (5084), (5085), (5090), (5091), (5123),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125), (5127), (5130), (5133), (5134), (5135),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141), (function-axioms) are inconsistent by
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1394.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5142) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) ~ (all_36_1 = e0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) op(e1, e2) = all_36_1
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_36_1,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (5052), (5144) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) all_36_1 = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e3, simplifying with (169), (5125)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) all_52_8 = all_40_0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (5146) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_54_2 = all_40_0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5146) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) ~ (all_52_4 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5146) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) ~ (all_52_11 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5149) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) ~ (all_52_11 = all_40_0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5056), (5146) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) ~ (all_40_0 = e3)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5124), (5146) imply:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) ~ (all_40_0 = e2)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5153) gives:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) all_58_4 = e0 & op(e3, e1) = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5154) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_58_4 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (170), (202), (242),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (5037), (5090), (5110), (5111), (5147),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148), (5151), (5152), (5155), (function-axioms)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1399.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_58_5 = e0 & op(e2, e1) = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5156) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_58_5 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5042), (5157) are inconsistent by sub-proof
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2038.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (167), (169), (190), (202), (211),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (4998), (5008), (5025), (5043), (5052),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5056), (5084), (5085), (5090), (5091), (5123),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125), (5144), (5147), (5150), (5151), (5152),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158), (function-axioms) are inconsistent by
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1394.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) all_58_14 = e2 & op(e0, e1) = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5159) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) all_58_14 = e2
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (217), (5007),
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (5098), (5160), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1391.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | (5161) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5052), (5080), (5161), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2144.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | (5162) all_58_13 = e3 & op(e0, e2) = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4997), (5162), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | (5163) all_58_10 = e3 & op(e2, e0) = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | ALPHA: (5163) implies:
% 232.47/43.15 | | | | | | | | | | | | | | | | | | (5164) op(e2, e0) = e3
% 232.47/43.15 | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5000), (5164), (function-axioms) are
% 232.47/43.15 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.47/43.15 | | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | End of split
% 232.47/43.15 | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | Case 2:
% 232.47/43.15 | | | | | | | | | | | | | | | |
% 232.47/43.15 | | | | | | | | | | | | | | | | (5165) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 232.47/43.15 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (5012), (5032), (5165) are
% 232.47/43.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | (5166) all_24_2 = e2
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | COMBINE_EQS: (301), (5166) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | (5167) all_10_2 = e2
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | SIMP: (5167) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | (5168) all_10_2 = e2
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | REDUCE: (359), (5168) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | (5169) ~ (all_52_3 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | REDUCE: (365), (5168) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | (5170) ~ (all_52_12 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 232.47/43.16 | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | (5171) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 232.47/43.16 | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (5028), (5170), (5171),
% 232.47/43.16 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.16 | | | | | | | | | | | | | | | | #2316.
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | (5172) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 232.47/43.16 | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | BETA: splitting (5172) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | (5173) all_58_11 = e2 & op(e1, e0) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | ALPHA: (5173) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | (5174) op(e1, e0) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | (5175) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (5026), (5169), (5175),
% 232.47/43.16 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.16 | | | | | | | | | | | | | | | | | | #2314.
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | (5176) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | BETA: splitting (5176) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5177) all_58_14 = e2 & op(e0, e1) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | ALPHA: (5177) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5178) op(e0, e1) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | e2, e1, e0, simplifying with (157), (5178) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5179) all_52_11 = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (5174) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5180) all_52_14 = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5180) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5181) ~ (all_6_2 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | SIMP: (5181) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | (5182) ~ (all_6_2 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (5183) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5183) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (5184) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5184) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5185) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e3
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5185) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5186) ~ (all_56_11 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5186) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5187) $false
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5187) is inconsistent.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5188) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5188) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5189) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5189) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5190) op(e2, e3) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5025), (5190), (function-axioms) are
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5191) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5191) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5192) ~ (all_56_21 = e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (5192) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5193) ~ (all_6_2 = e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (297), (391), (5014), (5182), (5193) are
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1390.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (5194) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4995), (4996), (5194), (function-axioms)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1389.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (5195) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5195) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (5196) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5196) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5197) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5198) op(e2, e1) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5027), (5198), (function-axioms) are
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5199) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5199) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5200) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5200) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5201) op(e2, e1) = e1
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (194), (297), (381), (391), (5014), (5182),
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5201), (function-axioms) are inconsistent by
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1729.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5202) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5203) op(e0, e2) = e2
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (5026), (5203), (function-axioms) are
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (5204) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5204) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5205) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5205) implies:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5206) ~ (all_56_11 = e2)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5024), (5206) imply:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5207) $false
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5207) is inconsistent.
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | (5208) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5208) gives:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | (5209) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 232.47/43.16 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5209) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5210) op(e1, e0) = e1
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5174), (5210), (function-axioms) are
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2019.
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5211) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5211) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5212) ~ (all_56_21 = e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (5212) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5213) ~ (all_6_2 = e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (194), (297), (391), (5014), (5182), (5213) are
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1390.
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | (5214) all_58_15 = e2 & op(e0, e0) = e2
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | ALPHA: (5214) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | (5215) op(e0, e0) = e2
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (5215), (function-axioms) are
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5216) all_58_15 = e2 & op(e0, e0) = e2
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5217) op(e0, e0) = e2
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (5217), (function-axioms) are
% 232.47/43.17 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | (5218) all_54_5 = e1 | all_54_5 = e0
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | REF_CLOSE: (275), (5010), (5016), (5218) are inconsistent by
% 232.47/43.17 | | | | | | | | | | | | | | sub-proof #2300.
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | End of split
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | (5219) all_22_2 = e1
% 232.47/43.17 | | | | | | | | | | | | (5220) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 232.47/43.17 | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 232.47/43.17 | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 232.47/43.17 | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | COMBINE_EQS: (326), (5219) imply:
% 232.47/43.17 | | | | | | | | | | | | (5221) all_8_2 = e1
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | SIMP: (5221) implies:
% 232.47/43.17 | | | | | | | | | | | | (5222) all_8_2 = e1
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | COMBINE_EQS: (347), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5223) all_30_2 = e1
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | COMBINE_EQS: (353), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5224) all_56_11 = e1
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (366), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5225) ~ (all_52_1 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (369), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5226) ~ (all_52_4 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (371), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5227) ~ (all_52_6 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (373), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5228) ~ (all_52_7 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (375), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5229) ~ (all_52_9 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (377), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5230) ~ (all_52_13 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (392), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5231) ~ (e3 = e1)
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | REDUCE: (42), (5222) imply:
% 232.47/43.17 | | | | | | | | | | | | (5232) op(e2, e2) = e1
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | BETA: splitting (236) gives:
% 232.47/43.17 | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | (5233) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 232.47/43.17 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 232.47/43.17 | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | BETA: splitting (5233) gives:
% 232.47/43.17 | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | (5234) all_58_1 = e1 & op(e3, e2) = e1
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | ALPHA: (5234) implies:
% 232.47/43.17 | | | | | | | | | | | | | | (5235) op(e3, e2) = e1
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | REF_CLOSE: (170), (5226), (5235), (function-axioms) are
% 232.47/43.17 | | | | | | | | | | | | | | inconsistent by sub-proof #2228.
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | (5236) all_58_3 = e1 & op(e2, e2) = e1
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | ALPHA: (5236) implies:
% 232.47/43.17 | | | | | | | | | | | | | | (5237) all_58_3 = e1
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 232.47/43.17 | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | (5238) ~ (all_26_2 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | REDUCE: (4994), (5238) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | (5239) $false
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | CLOSE: (5239) is inconsistent.
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | (5240) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 232.47/43.17 | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 232.47/43.17 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 232.47/43.17 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 232.47/43.17 | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | (5241) ~ (all_24_2 = e2)
% 232.47/43.17 | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | REDUCE: (301), (5241) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | (5242) ~ (all_10_2 = e2)
% 232.47/43.17 | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5243) all_54_0 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (5243) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5244) all_10_2 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | SIMP: (5244) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5245) all_10_2 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | REDUCE: (355), (5245) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5246) ~ (all_52_1 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | REDUCE: (45), (5245) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | (5247) op(e3, e3) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | (5248) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 232.47/43.17 | | | | | | | | | | | | | | | | | | (5230), (5246), (5248), (function-axioms) are
% 232.47/43.17 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2195.
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | (5249) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.47/43.17 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | BETA: splitting (5249) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | (5250) all_58_5 = e3 & op(e2, e1) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | ALPHA: (5250) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | (5251) all_58_5 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | (5252) op(e2, e1) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | (5253) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5253) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5254) all_58_6 = e3 & op(e1, e3) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5254) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5255) all_58_6 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5256) op(e1, e3) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (4992), (5240), (5247), (5255), (5256),
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | #1383.
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5257) all_58_7 = e3 & op(e1, e2) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5257) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5258) all_58_7 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5259) op(e1, e2) = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (5259) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5260) all_52_6 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (5252) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5261) all_52_9 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5260) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5262) ~ (all_52_4 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5260) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5263) ~ (all_52_7 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5260) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5264) ~ (all_52_14 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5261) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5265) ~ (all_52_8 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (5261) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5266) ~ (all_52_13 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (5261) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | (5267) ~ (all_6_2 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | (5268) ~ (all_30_2 = e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5223), (5268) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | (5269) $false
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5269) is inconsistent.
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | (5270) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5270) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5271) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5271) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5272) ~ (all_30_0 = e0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5273) op(e2, e1) = all_30_1
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | (5274) op(all_30_1, e2) = all_30_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5220) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5275) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5275) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5276) op(e2, e1) = all_22_1
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5277) op(all_22_1, e2) = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5252), (5273) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_30_1 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (5273), (5276)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_30_1 = all_22_1
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5278), (5279) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5280) all_22_1 = e3
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5274), (5278) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5281) op(e3, e2) = all_30_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5277), (5280) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5282) op(e3, e2) = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e3, simplifying with (170), (5282)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_52_4 = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e3, simplifying with (170), (5281)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_52_4 = all_30_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5283), (5284) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5285) all_30_0 = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5285) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5286) all_30_0 = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5283) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5287) all_54_1 = all_22_0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5283) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5288) ~ (all_52_7 = all_22_0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5288) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5289) ~ (all_52_7 = all_22_0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5283) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5290) ~ (all_52_12 = all_22_0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5290) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5291) ~ (all_52_12 = all_22_0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5262), (5283) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5292) ~ (all_22_0 = e3)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5226), (5283) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5293) ~ (all_22_0 = e1)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5272), (5286) imply:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | (5294) ~ (all_22_0 = e0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | (5295) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5295) gives:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_58_1 = e0 & op(e3, e2) = e0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5296) implies:
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) op(e3, e2) = e0
% 232.47/43.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) all_54_1 = e3
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5287), (5292), (5298) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1382.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5299) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_54_1 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5287), (5300) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_22_0 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5301) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_22_0 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5282), (5302) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) op(e3, e2) = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5297), (5303), (function-axioms) are
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2026.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) all_54_1 = e1 | all_54_1 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5287), (5293), (5294), (5304) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_58_3 = e0 & op(e2, e2) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (5010), (5305), (function-axioms) are
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | (5306) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5306) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_58_7 = e0 & op(e1, e2) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5258), (5307) are inconsistent by sub-proof
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | #2034.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_58_13 = e0 & op(e0, e2) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5308) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_58_13 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_54_1 = e3
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5287), (5292), (5310) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1382.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) ~ (all_54_1 = e3)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5312) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_54_1 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5287), (5313) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_22_0 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5314) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_22_0 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5289), (5315) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) ~ (all_52_7 = e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5291), (5315) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) ~ (all_52_12 = e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5292), (5315) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) ~ (e3 = e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5282), (5315) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) op(e3, e2) = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) all_54_13 = e3
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (4997), (5320) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) ~ (all_54_13 = e3)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5322) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_54_13 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5316), (5323) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2009.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) ~ (all_54_13 = e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_54_13 = e1 | all_54_13 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5325) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_54_13 = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5228), (5326) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1966.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_54_13 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (5327) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_52_7 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5328) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) all_52_7 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) ~ (all_52_3 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) ~ (all_52_11 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5331) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) ~ (all_52_11 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4997), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) ~ (e3 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5316), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) ~ (e2 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5228), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) ~ (e1 = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (5329) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) op(e0, e2) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5337) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5338) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) op(e3, e2) = all_56_9
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) op(e3, all_56_9) = e3
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5341) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_9,
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (5319), (5339) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_56_9 = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5340), (5342) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) op(e3, e2) = e3
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5252), (5273), (5274), (5276), (5277), (5292),
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343), (function-axioms) are inconsistent by
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1875.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_58_5 = e0 & op(e2, e1) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5251), (5344) are inconsistent by sub-proof
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (5014), (5332), (5345),
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_56_10 = e2 & op(e2, all_56_11) = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5346) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) op(e2, all_56_11) = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5224), (5347) imply:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) op(e2, e1) = e2
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5252), (5348), (function-axioms) are
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5349) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5350) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) op(e1, e2) = all_56_13
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) op(e1, all_56_13) = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5353) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) all_58_4 = e0 & op(e3, e1) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5354) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) all_58_4 = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) op(e3, e1) = e0
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5357) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_58_0 = e1 & op(e3, e3) = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5358) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) op(e3, e3) = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (246), (4999), (5252), (5270),
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276), (5277), (5292), (5356), (5359),
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) all_58_1 = e1 & op(e3, e2) = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5360) implies:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) op(e3, e2) = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5226), (5361), (function-axioms) are
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2228.
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5362) gives:
% 232.47/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_58_4 = e1 & op(e3, e1) = e1
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (236), (237),
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5226), (5237), (5309), (5336), (5355),
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363), (function-axioms) are inconsistent by
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_58_9 = e1 & op(e3, e0) = e1
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5364) implies:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) all_58_9 = e1
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) op(e3, e0) = e1
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (5259), (5351)
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_56_13 = e3
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (5366) gives:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_52_12 = e1
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5356) gives:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) all_52_8 = e0
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (5369) imply:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) ~ (all_6_2 = e0)
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5368) imply:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) ~ (all_52_14 = e1)
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5371) implies:
% 232.80/43.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) ~ (all_52_14 = e1)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5317), (5368) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) ~ (e2 = e1)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5352), (5367) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) op(e1, e3) = e1
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) ~ (all_40_2 = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (5375) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) ~ (all_6_2 = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (194), (297), (367), (391), (5014), (5374),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376), (function-axioms) are inconsistent by
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) all_40_2 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (5377) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_6_2 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (5379) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_36_2 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5379) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) op(e1, e1) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) ~ (all_36_2 = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5380), (5382) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) $false
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5383) is inconsistent.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (160),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (213), (216), (217),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (241), (256), (4995), (4996),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000), (5008), (5225), (5228), (5229), (5246),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247), (5252), (5258), (5316), (5317), (5322),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330), (5336), (5365), (5372), (5381), (5385),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5386) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) all_58_14 = e2 & op(e0, e1) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5387) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_58_14 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5389) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) all_58_0 = e2 & op(e3, e3) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5390) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) op(e3, e3) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5247), (5391), (function-axioms) are
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_58_2 = e2 & op(e2, e3) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5392) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_58_2 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (236), (237),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5226), (5309), (5336), (5393), (5394),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1365.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5395) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5251), (5396) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) all_58_10 = e0 & op(e2, e0) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (168), (221),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (5008), (5258), (5317),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381), (5397), (function-axioms) are inconsistent
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1363.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5398) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) all_58_6 = e2 & op(e1, e3) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5399) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_58_6 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5001), (5259), (5378), (5381), (5384),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400), (function-axioms) are inconsistent by
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_58_12 = e2 & op(e0, e3) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5401) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_58_12 = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (217), (5007),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (5388), (5402), (function-axioms) are
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1391.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_58_15 = e2 & op(e0, e0) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5403) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) op(e0, e0) = e2
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (5404), (function-axioms) are
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5251), (5405) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (5014), (5332), (5406),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5407) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) op(e0, e2) = all_56_15
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) op(e0, all_56_15) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5410) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_58_4 = e0 & op(e3, e1) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5008), (5265), (5336), (5408), (5409),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411), (function-axioms) are inconsistent by
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5251), (5412) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2169.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (5014), (5332), (5413),
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_54_1 = e1 | all_54_1 = e0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5287), (5293), (5294), (5414) are inconsistent by
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5415) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5415) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5416) ~ (all_22_1 = e0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5417) op(e2, e1) = all_22_1
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5252), (5273) gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_30_1 = e3
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (5273), (5417)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5419) all_30_1 = all_22_1
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5418), (5419) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5420) all_22_1 = e3
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5274), (5418) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5421) op(e3, e2) = all_30_0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e3, simplifying with (170), (5421)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_52_4 = all_30_0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5422) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_54_1 = all_30_0
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5422) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5424) ~ (all_52_7 = all_30_0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5424) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5425) ~ (all_52_7 = all_30_0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5422) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5426) ~ (all_52_12 = all_30_0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5426) implies:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5427) ~ (all_52_12 = all_30_0)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5262), (5422) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5428) ~ (all_30_0 = e3)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5226), (5422) imply:
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | (5429) ~ (all_30_0 = e1)
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | (5430) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5430) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) all_58_1 = e0 & op(e3, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5431) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) op(e3, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_54_1 = e3
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5423), (5428), (5433) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1360.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5434) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) all_54_1 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5423), (5435) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_30_0 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5436) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) all_30_0 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5421), (5437) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) op(e3, e2) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5432), (5438), (function-axioms) are
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2026.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) all_54_1 = e1 | all_54_1 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5272), (5423), (5429), (5439) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_58_3 = e0 & op(e2, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (5010), (5440), (function-axioms) are
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | (5441) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5441) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_58_7 = e0 & op(e1, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5258), (5442) are inconsistent by sub-proof
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | #2034.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) all_58_13 = e0 & op(e0, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5443) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_58_13 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) all_54_1 = e3
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5423), (5428), (5445) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1360.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) ~ (all_54_1 = e3)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5447) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_54_1 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5423), (5448) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) all_30_0 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5449) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_30_0 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5425), (5450) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) ~ (all_52_7 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5427), (5450) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) ~ (all_52_12 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5428), (5450) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) ~ (e3 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5421), (5450) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) op(e3, e2) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) all_54_13 = e3
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (4997), (5455) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) ~ (all_54_13 = e3)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5457) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_54_13 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5451), (5458) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2009.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) ~ (all_54_13 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) all_54_13 = e1 | all_54_13 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5460) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_54_13 = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (5228), (5461) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1966.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_54_13 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (5462) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_52_7 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5463) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) all_52_7 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) ~ (all_52_3 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) ~ (all_52_11 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5466) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) ~ (all_52_11 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4997), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) ~ (e3 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5451), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) ~ (e2 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5228), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) ~ (e1 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (158), (5464) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) op(e0, e2) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5472) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5262), (5454), (5473), (function-axioms)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1358.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_56_10 = e2 & op(e2, all_56_11) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5474) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) op(e2, all_56_11) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5224), (5475) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) op(e2, e1) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5252), (5476), (function-axioms) are
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5477) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5478) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) op(e1, e2) = all_56_13
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) op(e1, all_56_13) = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5481) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_58_4 = e0 & op(e3, e1) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5482) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_58_4 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) op(e3, e1) = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (5226), (5247), (5485),
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1357.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5486) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) all_58_4 = e1 & op(e3, e1) = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (236), (237),
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5226), (5237), (5444), (5471), (5483),
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487), (function-axioms) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1373.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_58_9 = e1 & op(e3, e0) = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5488) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_58_9 = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) op(e3, e0) = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (5259), (5479)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_56_13 = e3
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (5490) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_52_12 = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (5484) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) all_52_8 = e0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (5493) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) ~ (all_6_2 = e0)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5492) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) ~ (all_52_14 = e1)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5495) implies:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) ~ (all_52_14 = e1)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5452), (5492) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) ~ (e2 = e1)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5480), (5491) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) op(e1, e3) = e1
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) ~ (all_40_2 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (5499) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) ~ (all_6_2 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (194), (297), (367), (391), (5014), (5498),
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500), (function-axioms) are inconsistent by
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1371.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) all_40_2 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (5501) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_6_2 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (5503) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) all_36_2 = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5503) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) op(e1, e1) = e2
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) ~ (all_36_2 = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5504), (5506) imply:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) $false
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5507) is inconsistent.
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.80/43.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (160),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (213), (216), (217),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (241), (256), (4995), (4996),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000), (5008), (5225), (5228), (5229), (5246),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247), (5252), (5258), (5451), (5452), (5457),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465), (5471), (5489), (5496), (5505), (5509),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1366.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) all_58_14 = e2 & op(e0, e1) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5511) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_58_14 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) all_58_0 = e2 & op(e3, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5514) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) op(e3, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5247), (5515), (function-axioms) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) all_58_2 = e2 & op(e2, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5516) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) all_58_2 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (236), (237),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5226), (5444), (5471), (5517), (5518),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1365.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5519) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5520) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5270), (5416), (5417), (5521), (function-axioms)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_58_10 = e0 & op(e2, e0) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (168), (221),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (226), (5008), (5258), (5452),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505), (5522), (function-axioms) are inconsistent
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1363.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5523) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) all_58_6 = e2 & op(e1, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5524) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_58_6 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5001), (5259), (5502), (5505), (5508),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525), (function-axioms) are inconsistent by
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1362.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_58_12 = e2 & op(e0, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5526) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_58_12 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (217), (5007),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (5512), (5527), (function-axioms) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1391.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) all_58_15 = e2 & op(e0, e0) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5528) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) op(e0, e0) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (5529), (function-axioms) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5530) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5270), (5416), (5417), (5531), (function-axioms)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (5014), (5467), (5532),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5533) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) op(e0, e2) = all_56_15
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) op(e0, all_56_15) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5536) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) all_58_4 = e0 & op(e3, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (5008), (5265), (5471), (5534), (5535),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537), (function-axioms) are inconsistent by
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1361.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5538) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) op(e2, e1) = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5270), (5416), (5417), (5539), (function-axioms)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (157), (5014), (5467), (5540),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1832.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_54_1 = e1 | all_54_1 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5272), (5423), (5429), (5541) are inconsistent by
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | (5542) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5542) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | (5543) ~ (all_30_1 = e3)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | (5544) op(e2, e1) = all_30_1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5252), (5543), (5544), (function-axioms) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5545) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (5001), (5545),
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | #1529.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | (5546) all_58_10 = e3 & op(e2, e0) = e3
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | ALPHA: (5546) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | (5547) op(e2, e0) = e3
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5000), (5547), (function-axioms) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | (5548) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (5012), (5242), (5548) are
% 232.80/43.21 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | End of split
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | (5549) all_24_2 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (5549) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | (5550) all_10_2 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (5550) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | (5551) all_56_1 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | REDUCE: (355), (5550) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | (5552) ~ (all_52_1 = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | REDUCE: (45), (5550) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | (5553) op(e3, e3) = e2
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | (5554) ~ (all_36_2 = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | REDUCE: (328), (5554) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | (5555) ~ (all_6_2 = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | (5556) all_54_10 = e3
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (5556) are inconsistent by sub-proof
% 232.80/43.21 | | | | | | | | | | | | | | | | | | #2313.
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | (5557) ~ (all_54_10 = e3)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | (5558) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | BETA: splitting (5558) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | (5559) all_54_10 = e2
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (5555), (5559) are inconsistent by
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | (5560) ~ (all_54_10 = e2)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | (5561) all_54_10 = e1 | all_54_10 = e0
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (5561) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5562) all_54_10 = e1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (5562) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5563) all_6_2 = e1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | SIMP: (5563) implies:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5564) all_6_2 = e1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5565) all_56_21 = e1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5566) ~ (all_52_2 = e1)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5567) ~ (all_52_8 = e1)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5568) ~ (all_52_14 = e1)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (5555), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5569) ~ (e2 = e1)
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (5564) imply:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | (5570) op(e1, e1) = e1
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | (5571) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 232.80/43.21 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (167), (169), (4995), (4996), (5551),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (5552), (5565), (5567), (5571), (function-axioms)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1355.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (5572) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5572) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | (5573) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5573) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | (5574) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5574) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | (5575) ~ (all_56_21 = e1)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5565), (5575) imply:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | (5576) $false
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5576) is inconsistent.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | (5577) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5577) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5578) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5578) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5579) op(e2, e1) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (297), (381), (5014), (5561), (5579),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | #1905.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5580) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5580) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5581) ~ (all_56_31 = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5582) ~ (all_56_21 = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5583) ~ (all_56_1 = e0)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5584) op(e0, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | (5585) op(e2, e0) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5586) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5225), (5553), (5586),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | (5587) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5587) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5588) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) op(e1, e3) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5566), (5589), (function-axioms) are
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_58_12 = e1 & op(e0, e3) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5590) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_58_12 = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) op(e0, e3) = e1
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5593) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) all_58_1 = e2 & op(e3, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5594) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) all_58_1 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5596) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5596) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5597) all_58_1 = e3 & op(e3, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5595), (5597) are inconsistent by sub-proof
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2141.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5598) all_58_3 = e3 & op(e2, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5598) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_58_3 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (158), (235), (236),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228), (5584), (5595), (5599), (function-axioms)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1352.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5600) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5601) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) op(e1, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (136), (162), (168),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (195), (240), (242), (246), (267), (4999),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5553), (5595), (5602), (function-axioms) are
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2178.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_58_13 = e3 & op(e0, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5603) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) op(e0, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5584), (5604), (function-axioms) are
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_58_3 = e2 & op(e2, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5605) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5606) op(e2, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5232), (5606), (function-axioms) are
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5607) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5607) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5608) all_58_7 = e2 & op(e1, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5608) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609) all_58_7 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5610) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5610) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_58_1 = e3 & op(e3, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5611) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_58_1 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) op(e3, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5614) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) all_58_6 = e3 & op(e1, e3) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5615) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) all_58_6 = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5617) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_58_12 = e2 & op(e0, e3) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5618) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_58_12 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (5553),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616), (5619), (function-axioms) are inconsistent
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1756.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) all_58_13 = e2 & op(e0, e2) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5620) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) all_58_13 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (235), (236), (5584),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5609), (5612), (5613), (5621), (function-axioms)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1748.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5622) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_58_14 = e2 & op(e0, e1) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5623) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_58_14 = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (216), (5007), (5584), (5591),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624), (function-axioms) are inconsistent by
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1537.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) all_58_15 = e2 & op(e0, e0) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5625) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) op(e0, e0) = e2
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (5626), (function-axioms) are
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5627) implies:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) op(e1, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (162), (170), (195), (267), (5613), (5628),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (5001), (5629),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) all_58_3 = e3 & op(e2, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230), (5630), (function-axioms) are inconsistent
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5631) gives:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5609), (5632) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1800.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) all_58_13 = e3 & op(e0, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5633) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) op(e0, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5584), (5634), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) all_58_13 = e2 & op(e0, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5635) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_58_13 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5637) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) all_58_6 = e2 & op(e1, e3) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5638) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) all_58_6 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (159), (239), (245), (4992),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996), (5240), (5553), (5592), (5639),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_58_7 = e2 & op(e1, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5640) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_58_7 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (5584), (5636), (5641), (function-axioms)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1453.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5642) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_58_8 = e2 & op(e1, e1) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5643) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) op(e1, e1) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5570), (5644), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2159.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) all_58_11 = e2 & op(e1, e0) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5645) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_58_11 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (220), (5007),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (5585), (5646), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (5647) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | = e0)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (5551), (5565), (5568), (5647),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | #1343.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | (5648) all_54_10 = e0
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (5014), (5648) are inconsistent by
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5649) all_36_2 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5650) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 232.80/43.23 | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 232.80/43.23 | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (5649) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5651) all_6_2 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | SIMP: (5651) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5652) all_6_2 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5653) all_40_2 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5654) all_56_21 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | REDUCE: (367), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5655) ~ (all_52_2 = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | REDUCE: (380), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5656) ~ (all_52_8 = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | REDUCE: (381), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5657) ~ (all_52_9 = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | REDUCE: (391), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5658) ~ (e3 = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | REDUCE: (39), (5652) imply:
% 232.80/43.23 | | | | | | | | | | | | | | | | | (5659) op(e1, e1) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | (5660) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5232), (5552), (5660),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | #1929.
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | (5661) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | BETA: splitting (5661) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | (5662) all_58_5 = e2 & op(e2, e1) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | ALPHA: (5662) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | (5663) op(e2, e1) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (5657), (5663), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | (5664) all_58_10 = e2 & op(e2, e0) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | ALPHA: (5664) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | (5665) op(e2, e0) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | (5666) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5666) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5667) all_58_1 = e2 & op(e3, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5667) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5668) all_58_1 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (5669) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5669) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5670) all_58_1 = e3 & op(e3, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5668), (5670) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | #2141.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5671) all_58_3 = e3 & op(e2, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5230), (5671), (function-axioms) are inconsistent
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (5672) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5672) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5673) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5673) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5674) op(e1, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (136), (162), (168),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (170), (195), (240), (242), (246), (267), (4999),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5553), (5668), (5674), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2178.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5675) all_58_13 = e3 & op(e0, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4997), (5675), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5676) all_58_3 = e2 & op(e2, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5676) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5677) op(e2, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5232), (5677), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | (5678) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5678) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5679) all_58_7 = e2 & op(e1, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5679) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5680) all_58_7 = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5681) op(e1, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (5682) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5682) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5683) all_58_1 = e3 & op(e3, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5683) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5684) op(e3, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | (5685) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5685) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_58_6 = e3 & op(e1, e3) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (224),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (5659), (5680), (5681), (5686),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | #2208.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5687) implies:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (5688) op(e1, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (162), (170), (195), (267), (5684), (5688),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | | #2190.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | (5689) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (5001), (5659), (5689),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | | #2148.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5690) all_58_3 = e3 & op(e2, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5230), (5690), (function-axioms) are inconsistent
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | (5691) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5691) gives:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5692) all_58_7 = e3 & op(e1, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5680), (5692) are inconsistent by sub-proof
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | #1675.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | (5693) all_58_13 = e3 & op(e0, e2) = e3
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4997), (5693), (function-axioms) are
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | | (5694) all_58_13 = e2 & op(e0, e2) = e2
% 232.80/43.23 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | ALPHA: (5694) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | (5695) all_58_13 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | (5696) op(e0, e2) = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | (5697) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5697) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5698) all_58_6 = e2 & op(e1, e3) = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5698) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5699) all_58_6 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5700) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (159), (245), (4996), (5553),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5699), (5700), (function-axioms) are inconsistent
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1341.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5701) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5701) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5702) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5699), (5702) are inconsistent by sub-proof
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | #1423.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_58_12 = e1 & op(e0, e3) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5703) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5704) op(e0, e3) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (159), (239), (245), (4992),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (4996), (5240), (5553), (5699), (5704),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | #1348.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5705) all_58_7 = e2 & op(e1, e2) = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5705) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5706) all_58_7 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (238), (5695), (5696), (5706), (function-axioms)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1453.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | (5707) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5707) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5708) all_58_8 = e2 & op(e1, e1) = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5708) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5709) all_58_8 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (5696) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5710) all_52_7 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (5665) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5711) all_52_13 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5710) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5712) ~ (all_52_3 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5710) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5713) ~ (all_52_4 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (5710) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5714) ~ (all_52_6 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (5710) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5715) ~ (all_52_11 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5715) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5716) ~ (all_52_11 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (5711) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5717) ~ (all_52_12 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (5711) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5718) ~ (all_52_14 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5718) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | (5719) ~ (all_52_14 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5720) ~ (all_40_2 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5653), (5720) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5721) $false
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5721) is inconsistent.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | (5722) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_54_9 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (5723) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5724) all_52_6 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5724) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5725) all_52_6 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5725) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5726) ~ (all_52_4 = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (5725) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | (5727) op(e1, e2) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_54_1 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5726), (5728) are inconsistent by
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) ~ (all_54_1 = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5730) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_54_1 = e2
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5713), (5731) are inconsistent by
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) ~ (all_54_1 = e2)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_54_1 = e1 | all_54_1 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5733) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) all_54_1 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5226), (5734) are inconsistent by
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2051.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_54_1 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5735) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_52_4 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5736) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_52_4 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) ~ (all_52_8 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5738) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) ~ (all_52_8 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) ~ (all_52_12 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5740) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) ~ (all_52_12 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5726), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) ~ (e3 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5713), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) ~ (e2 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5226), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) ~ (e1 = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (170), (5737) imply:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) op(e3, e2) = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) all_54_3 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (4999), (5746) are inconsistent by
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) ~ (all_54_3 = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_58_15 = e0 & op(e0, e0) = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5749) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) op(e0, e0) = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (5750), (function-axioms) are
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5751) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_58_0 = e3 & op(e3, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5754) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) op(e3, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5553), (5755), (function-axioms) are
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) all_58_1 = e3 & op(e3, e2) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5756) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) op(e3, e2) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5745), (5757), (function-axioms) are
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2099.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5758) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) all_58_4 = e3 & op(e3, e1) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5759) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_58_4 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5761) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) all_58_0 = e3 & op(e3, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5762) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) op(e3, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5553), (5763), (function-axioms) are
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_58_2 = e3 & op(e2, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5764) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) op(e2, e3) = e3
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (5226), (5553), (5766),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1340.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5767) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) all_58_4 = e1 & op(e3, e1) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5760), (5768) are inconsistent by sub-proof
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2042.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_58_9 = e1 & op(e3, e0) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) all_58_9 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (5229), (5760), (5771),
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1339.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5772) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) all_58_8 = e1 & op(e1, e1) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5773) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) op(e1, e1) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5659), (5774), (function-axioms) are
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2159.
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_58_14 = e1 & op(e0, e1) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5775) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) op(e0, e1) = e1
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5752) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_58_12 = e0 & op(e0, e3) = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5777) implies:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) op(e0, e3) = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5779) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_58_0 = e0 & op(e3, e3) = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5780) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) op(e3, e3) = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5553), (5781), (function-axioms) are
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) all_58_1 = e0 & op(e3, e2) = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5782) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) all_58_1 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5784) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_58_0 = e1 & op(e3, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5785) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) op(e3, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (5760), (5770), (5783),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786), (function-axioms) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_58_2 = e1 & op(e2, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (5225), (5787), (function-axioms) are
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5788) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5789) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) op(e1, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5748) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_54_3 = e2
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (5717), (5791) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2290.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_54_3 = e1 | all_54_3 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5792) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_54_3 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (5793) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_52_12 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5794) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_52_12 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (5795) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) ~ (all_52_8 = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) all_54_2 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (5797) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) all_52_8 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5798) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) all_52_8 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5799) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) ~ (all_52_9 = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5800) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) ~ (all_52_9 = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (5799) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) ~ (all_52_11 = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_54_6 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5801), (5803) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) ~ (all_54_6 = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5805) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) all_54_6 = e2
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5657), (5806) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_54_6 = e1 | all_54_6 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5807) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) all_54_6 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (5229), (5808) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) all_54_6 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (5809) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) all_52_9 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5810) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_52_9 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (5811) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) ~ (all_52_11 = e0)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5812) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) ~ (all_52_11 = e0)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) all_54_14 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (5814) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) all_52_11 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4998), (5815) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) $false
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5816) is inconsistent.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5817) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) all_54_14 = e2
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (5716), (5818) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1856.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) ~ (all_54_14 = e2)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) all_54_14 = e1 | all_54_14 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5820) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) all_54_14 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (5821) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) all_52_11 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5822) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_52_11 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5823) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) ~ (all_52_3 = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5716), (5823) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) ~ (e2 = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_54_12 = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (4996), (5826) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) ~ (all_54_12 = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (5551), (5745), (5765), (5829),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1924.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5830) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (257), (5659), (5712), (5790), (5824),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828), (5831), (function-axioms) are inconsistent
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1702.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5832) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) op(e0, e3) = all_56_7
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) op(e0, all_56_7) = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) all_54_12 = e2
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5835) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_52_3 = e2
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5712), (5836) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) $false
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5837) is inconsistent.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) all_54_12 = e1 | all_54_12 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5838) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) all_54_12 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5839) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) all_52_3 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5824), (5840) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) $false
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5841) is inconsistent.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) all_54_12 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5842) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) all_52_3 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_7,
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (5778), (5833) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) all_56_7 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5834), (5844) imply:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) op(e0, e0) = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (5845), (function-axioms) are
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) all_54_14 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (5813), (5846) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1936.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (5656), (5739), (5796), (5847) are
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_54_3 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (5741), (5848) are inconsistent by
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2288.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) all_58_12 = e1 & op(e0, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5849) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) op(e0, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4992), (5240), (5778), (5850),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (5739), (5741), (5851),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1334.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (5696), (5776), (5852),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1333.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5853) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) all_58_6 = e3 & op(e1, e3) = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5854) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) op(e1, e3) = e3
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5856) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5857) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) op(e1, e3) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5855), (5858), (function-axioms) are
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) all_58_7 = e1 & op(e1, e2) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5859) implies:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) op(e1, e2) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5650), (5722), (5727), (5860),
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1332.
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5861) gives:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) all_58_8 = e1 & op(e1, e1) = e1
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5862) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) op(e1, e1) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5659), (5863), (function-axioms) are
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2159.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) all_58_11 = e1 & op(e1, e0) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5864) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) op(e1, e0) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (112), (160), (280), (5717), (5741), (5748),
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865), (function-axioms) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1330.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) all_58_12 = e3 & op(e0, e3) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5866) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) op(e0, e3) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4996), (5867), (function-axioms) are
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) all_58_9 = e3 & op(e3, e0) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5868) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) op(e3, e0) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (4999), (5869), (function-axioms) are
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5870) ~ (all_54_9 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5871) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (5870) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | (5872) ~ (all_52_6 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5871) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5873) all_54_9 = e2
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (5714), (5873) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1954.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5874) ~ (all_54_9 = e2)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (5875) all_54_9 = e1 | all_54_9 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5875) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5876) all_54_9 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (5227), (5876) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2055.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5877) all_54_9 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (5877) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5878) all_52_6 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5878) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5879) all_52_6 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (5879) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5880) ~ (all_52_2 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (5879) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5881) ~ (all_52_4 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5879) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5882) ~ (all_52_14 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5882) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5883) ~ (all_52_14 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5714), (5879) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5884) ~ (e2 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5227), (5879) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5885) ~ (e1 = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5886) all_54_11 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5886) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5887) all_52_14 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5001), (5887) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5888) $false
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5888) is inconsistent.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5889) ~ (all_54_11 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5891) all_54_1 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (5891) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5892) all_52_4 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5892) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5893) all_52_4 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (5893) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5894) ~ (all_52_8 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5894) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895) ~ (all_52_8 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (5893) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5896) ~ (all_52_12 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5897) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5897) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898) all_58_6 = e3 & op(e1, e3) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5898) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5899) all_58_6 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5900) op(e1, e3) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5901) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (167), (5225), (5553), (5901),
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1354.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5902) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5902) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5903) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5903) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5904) op(e1, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5900), (5904), (function-axioms) are
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5905) all_58_12 = e1 & op(e0, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5905) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5906) all_58_12 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5907) op(e0, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5908) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5908) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5909) all_58_0 = e0 & op(e3, e3) = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5909) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5910) op(e3, e3) = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5553), (5910), (function-axioms) are
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5911) all_58_2 = e0 & op(e2, e3) = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5911) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5912) all_58_2 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5913) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5913) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914) all_58_2 = e3 & op(e2, e3) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5914) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5915) all_58_2 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5912), (5915) are inconsistent by sub-proof
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2124.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5916) all_58_3 = e3 & op(e2, e2) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230), (5916), (function-axioms) are inconsistent
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5917) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5917) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_58_5 = e3 & op(e2, e1) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5918) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_58_5 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5920) op(e2, e1) = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5890) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5921) all_54_11 = e2
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5719), (5921) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5922) ~ (all_54_11 = e2)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5923) all_54_11 = e1 | all_54_11 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5923) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5924) all_54_11 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (5924) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5925) all_52_14 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5925) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5926) all_52_14 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5926) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5927) ~ (all_52_2 = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (5926) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5928) ~ (all_52_12 = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5719), (5926) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5929) ~ (e2 = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (5926) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5930) op(e1, e0) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5931) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5931) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_58_0 = e1 & op(e3, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5932) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) op(e3, e3) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (5899), (5906), (5912),
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5933), (function-axioms) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1328.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_58_1 = e1 & op(e3, e2) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5934) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) all_58_1 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (169), (246), (4999), (5553),
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5895), (5935), (function-axioms) are inconsistent
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1327.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5936) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_58_4 = e1 & op(e3, e1) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5937) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_58_4 = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) op(e3, e1) = e1
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) all_54_8 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (5940) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) all_52_2 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5941) implies:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_52_2 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (5942) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) ~ (all_52_1 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (5942) imply:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) ~ (all_52_3 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_54_4 = e3
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (5943), (5945) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) ~ (all_54_4 = e3)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5947) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_54_4 = e2
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (5552), (5948) are inconsistent by
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2096.
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) ~ (all_54_4 = e2)
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) all_54_4 = e1 | all_54_4 = e0
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5951) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_58_1 = e0 & op(e3, e2) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (5881), (5952), (function-axioms) are
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) all_58_3 = e0 & op(e2, e2) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (5010), (5953), (function-axioms) are
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5954) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) all_58_7 = e0 & op(e1, e2) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5955) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_58_7 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) op(e1, e2) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5958) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) all_58_6 = e1 & op(e1, e3) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5959) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) op(e1, e3) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5927), (5960), (function-axioms) are
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_58_7 = e1 & op(e1, e2) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5961) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_58_7 = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (5709), (5899), (5930),
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962), (function-axioms) are inconsistent by
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1555.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5963) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) all_58_8 = e1 & op(e1, e1) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5964) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) op(e1, e1) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (5659), (5965), (function-axioms) are
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2159.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_58_11 = e1 & op(e1, e0) = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5966) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_58_11 = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5968) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_58_4 = e0 & op(e3, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5969) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) all_58_4 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5938), (5970) are inconsistent by sub-proof
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1710.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) all_58_5 = e0 & op(e2, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5971) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_58_5 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5919), (5972) are inconsistent by sub-proof
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2038.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5973) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_58_8 = e0 & op(e1, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5974) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) op(e1, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (5899), (5956), (5967),
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975), (function-axioms) are inconsistent by
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1325.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) all_58_14 = e0 & op(e0, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5976) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) op(e0, e1) = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5950) gives:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_54_4 = e1
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (5225), (5978) are inconsistent by
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2086.
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_54_4 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (5979) imply:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_52_1 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5980) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_52_1 = e0
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (5981) imply:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) ~ (all_52_3 = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5982) implies:
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) ~ (all_52_3 = e0)
% 232.80/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5943), (5981) imply:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) ~ (e3 = e0)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_54_12 = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (4996), (5985) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5986) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_54_12 = e2
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (5712), (5987) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_54_12 = e1 | all_54_12 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5988) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_54_12 = e1
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (5989) imply:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_52_3 = e1
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5990) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_52_3 = e1
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5991) imply:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) ~ (all_52_11 = e1)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5992) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) ~ (all_52_11 = e1)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) all_54_14 = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (4998), (5994) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5996) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (255), (5716), (5895), (5939), (5993),
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995), (5997), (function-axioms) are inconsistent
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1397.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (255), (5552), (5716), (5920), (5993),
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995), (5998), (function-axioms) are inconsistent
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1396.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (162), (5008), (5654), (5957), (5977),
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999), (function-axioms) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1324.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) all_54_12 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (5983), (6000) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2068.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) all_58_13 = e0 & op(e0, e2) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6001) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) op(e0, e2) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (5696), (6002), (function-axioms) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (5655), (5880), (5927), (6003) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) all_58_9 = e1 & op(e3, e0) = e1
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (5928), (6004), (function-axioms) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) all_54_11 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (5883), (6005) are inconsistent by
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2175.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) all_58_10 = e3 & op(e2, e0) = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6006) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) op(e2, e0) = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5665), (6007), (function-axioms) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6008) gives:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) all_58_6 = e0 & op(e1, e3) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6009) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) op(e1, e3) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (5880), (6010), (function-axioms) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) all_58_12 = e0 & op(e0, e3) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6011) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) op(e0, e3) = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4992), (5240), (5907), (6012),
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6013) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) op(e1, e2) = e3
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (5872), (6014), (function-axioms) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (5001), (5659), (6015),
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2148.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (5226), (5713), (5881), (6016) are
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | (6017) all_58_11 = e2 & op(e1, e0) = e2
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6017) implies:
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | | (6018) all_58_11 = e2
% 233.15/43.27 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (220), (5007),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | (5008), (5665), (6018), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | (6019) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 233.15/43.28 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | BETA: splitting (6019) gives:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | (6020) all_58_7 = e1 & op(e1, e2) = e1
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | ALPHA: (6020) implies:
% 233.15/43.28 | | | | | | | | | | | | | | (6021) all_58_7 = e1
% 233.15/43.28 | | | | | | | | | | | | | | (6022) op(e1, e2) = e1
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | (6023) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 233.15/43.28 | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | BETA: splitting (6023) gives:
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | (6024) all_58_1 = e3 & op(e3, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | ALPHA: (6024) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | (6025) all_58_1 = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | (6026) op(e3, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | (6027) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (42), (5010), (6026), (6027),
% 233.15/43.28 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | #1323.
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | (6028) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 233.15/43.28 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | BETA: splitting (6028) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | (6029) all_58_7 = e0 & op(e1, e2) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | ALPHA: (6029) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | (6030) op(e1, e2) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (6022), (6030), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2136.
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | (6031) all_58_13 = e0 & op(e0, e2) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | ALPHA: (6031) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | (6032) op(e0, e2) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | (6033) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (6033) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | (6034) all_58_6 = e3 & op(e1, e3) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (6034) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | (6035) all_58_6 = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | (6036) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (162), (6022), (6035), (6036),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | #2111.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | (6037) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6037) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | (6038) all_58_8 = e0 & op(e1, e1) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (5014), (6038), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | (6039) all_58_11 = e0 & op(e1, e0) = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6039) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | (6040) all_58_11 = e0
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | (6041) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6041) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6042) all_58_6 = e2 & op(e1, e3) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6035), (6042) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_58_7 = e2 & op(e1, e2) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6021), (6043) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | #2218.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | (6044) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6044) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6045) all_58_8 = e2 & op(e1, e1) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6045) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_58_8 = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6047) op(e1, e1) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6048) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5232), (6025), (6048),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | (6049) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6049) gives:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_58_7 = e2 & op(e1, e2) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6050) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_58_7 = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (224),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (5001), (6046), (6047), (6051),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | #1545.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6052) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) op(e0, e2) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6032), (6053), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_58_11 = e2 & op(e1, e0) = e2
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6040), (6054) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | | #2216.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | (6055) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | ALPHA: (6055) implies:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | (6056) op(e1, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (136), (162), (170), (195), (267), (6026), (6056),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | | #2190.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | (6057) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (5001), (6057),
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | | | | #1529.
% 233.15/43.28 | | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | (6058) all_58_3 = e3 & op(e2, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (5225), (5229),
% 233.15/43.28 | | | | | | | | | | | | | | | | (5230), (6058), (function-axioms) are inconsistent
% 233.15/43.28 | | | | | | | | | | | | | | | | by sub-proof #2196.
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | (6059) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 233.15/43.28 | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | BETA: splitting (6059) gives:
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | (6060) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6021), (6060) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | | | | | #2138.
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | (6061) all_58_13 = e3 & op(e0, e2) = e3
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | | REF_CLOSE: (158), (4997), (6061), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 233.15/43.28 | | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | (6062) all_58_13 = e1 & op(e0, e2) = e1
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REF_CLOSE: (158), (5228), (6062), (function-axioms) are
% 233.15/43.28 | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | (6063) all_18_2 = e0
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | COMBINE_EQS: (339), (6063) imply:
% 233.15/43.28 | | | | | | | | | | | (6064) all_6_2 = e0
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | COMBINE_EQS: (266), (6064) imply:
% 233.15/43.28 | | | | | | | | | | | (6065) all_56_21 = e0
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | REDUCE: (367), (6064) imply:
% 233.15/43.28 | | | | | | | | | | | (6066) ~ (all_52_2 = e0)
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | REDUCE: (385), (6064) imply:
% 233.15/43.28 | | | | | | | | | | | (6067) ~ (all_52_14 = e0)
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | BETA: splitting (64) gives:
% 233.15/43.28 | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | (6068) ~ (all_22_2 = e1)
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | REDUCE: (326), (6068) imply:
% 233.15/43.28 | | | | | | | | | | | | (6069) ~ (all_8_2 = e1)
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | REF_CLOSE: (42), (123), (149), (158), (159), (160), (163),
% 233.15/43.28 | | | | | | | | | | | | (164), (165), (167), (169), (199), (213), (234),
% 233.15/43.28 | | | | | | | | | | | | (275), (353), (366), (373), (375), (392), (4995),
% 233.15/43.28 | | | | | | | | | | | | (4996), (5000), (5010), (6065), (6067), (6069),
% 233.15/43.28 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.28 | | | | | | | | | | | | #1318.
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | (6070) all_22_2 = e1
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | COMBINE_EQS: (326), (6070) imply:
% 233.15/43.28 | | | | | | | | | | | | (6071) all_8_2 = e1
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | SIMP: (6071) implies:
% 233.15/43.28 | | | | | | | | | | | | (6072) all_8_2 = e1
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | COMBINE_EQS: (353), (6072) imply:
% 233.15/43.28 | | | | | | | | | | | | (6073) all_56_11 = e1
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | REDUCE: (366), (6072) imply:
% 233.15/43.28 | | | | | | | | | | | | (6074) ~ (all_52_1 = e1)
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | REDUCE: (375), (6072) imply:
% 233.15/43.28 | | | | | | | | | | | | (6075) ~ (all_52_9 = e1)
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | BETA: splitting (67) gives:
% 233.15/43.28 | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | (6076) ~ (all_24_2 = e2)
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | REDUCE: (301), (6076) imply:
% 233.15/43.28 | | | | | | | | | | | | | (6077) ~ (all_10_2 = e2)
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | BETA: splitting (204) gives:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | (6078) all_54_0 = e3
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | COMBINE_EQS: (292), (6078) imply:
% 233.15/43.28 | | | | | | | | | | | | | | (6079) all_10_2 = e3
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REDUCE: (355), (6079) imply:
% 233.15/43.28 | | | | | | | | | | | | | | (6080) ~ (all_52_1 = e3)
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REDUCE: (363), (6079) imply:
% 233.15/43.28 | | | | | | | | | | | | | | (6081) ~ (all_52_8 = e3)
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REDUCE: (45), (6079) imply:
% 233.15/43.28 | | | | | | | | | | | | | | (6082) op(e3, e3) = e3
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (140), (145), (158), (159), (160),
% 233.15/43.28 | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (213), (232),
% 233.15/43.28 | | | | | | | | | | | | | | (234), (239), (4995), (4996), (5000), (6065),
% 233.15/43.28 | | | | | | | | | | | | | | (6066), (6067), (6073), (6074), (6075), (6080),
% 233.15/43.28 | | | | | | | | | | | | | | (6081), (6082), (function-axioms) are inconsistent
% 233.15/43.28 | | | | | | | | | | | | | | by sub-proof #1314.
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | (6083) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (5012), (6077), (6083) are
% 233.15/43.28 | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | End of split
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | Case 2:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | (6084) all_24_2 = e2
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | COMBINE_EQS: (301), (6084) imply:
% 233.15/43.28 | | | | | | | | | | | | | (6085) all_10_2 = e2
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | SIMP: (6085) implies:
% 233.15/43.28 | | | | | | | | | | | | | (6086) all_10_2 = e2
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | COMBINE_EQS: (290), (6086) imply:
% 233.15/43.28 | | | | | | | | | | | | | (6087) all_56_1 = e2
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | REDUCE: (355), (6086) imply:
% 233.15/43.28 | | | | | | | | | | | | | (6088) ~ (all_52_1 = e2)
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.15/43.28 | | | | | | | | | | | | |
% 233.15/43.28 | | | | | | | | | | | | | Case 1:
% 233.15/43.28 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | (6089) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.29 | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.29 | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.29 | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.29 | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.15/43.29 | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.29 | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | BETA: splitting (6089) gives:
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6090) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.29 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.29 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | = e3)
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | REF_CLOSE: (167), (6073), (6087), (6088), (6090),
% 233.15/43.29 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.29 | | | | | | | | | | | | | | | #2279.
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6091) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.15/43.29 | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.15/43.29 | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | = e0)
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | REF_CLOSE: (159), (4995), (4996), (6091), (function-axioms)
% 233.15/43.29 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1389.
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | (6092) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.29 | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.29 | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.29 | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.29 | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.29 | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.29 | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.15/43.29 | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.15/43.29 | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.15/43.29 | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.15/43.29 | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | BETA: splitting (6092) gives:
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6093) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.29 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.29 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.29 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.29 | | | | | | | | | | | | | | | = e2)
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | REF_CLOSE: (165), (6065), (6073), (6075), (6093),
% 233.15/43.29 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.29 | | | | | | | | | | | | | | | #1315.
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6094) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.15/43.29 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.15/43.29 | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.15/43.29 | | | | | | | | | | | | | | | = e0)
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | BETA: splitting (6094) gives:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | (6095) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 233.15/43.29 | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 233.15/43.29 | | | | | | | | | | | | | | | | e2) = e0
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | ALPHA: (6095) implies:
% 233.15/43.29 | | | | | | | | | | | | | | | | (6096) ~ (all_56_1 = e2)
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | REDUCE: (6087), (6096) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | (6097) $false
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | CLOSE: (6097) is inconsistent.
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | (6098) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 233.15/43.29 | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 233.15/43.29 | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.15/43.29 | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.15/43.29 | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6065), (6067), (6098), (function-axioms)
% 233.15/43.29 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1320.
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | (6099) all_16_2 = e0
% 233.15/43.29 | | | | | | | | | | (6100) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 233.15/43.29 | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 233.15/43.29 | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 233.15/43.29 | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | COMBINE_EQS: (342), (6099) imply:
% 233.15/43.29 | | | | | | | | | | (6101) all_10_2 = e0
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | SIMP: (6101) implies:
% 233.15/43.29 | | | | | | | | | | (6102) all_10_2 = e0
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | COMBINE_EQS: (350), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6103) all_50_2 = e0
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | COMBINE_EQS: (290), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6104) all_56_1 = e0
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (355), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6105) ~ (all_52_1 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (357), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6106) ~ (all_52_2 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (359), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6107) ~ (all_52_3 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (361), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6108) ~ (all_52_4 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (363), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6109) ~ (all_52_8 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (365), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6110) ~ (all_52_12 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (393), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6111) ~ (e1 = e0)
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | REDUCE: (45), (6102) imply:
% 233.15/43.29 | | | | | | | | | | (6112) op(e3, e3) = e0
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | BETA: splitting (58) gives:
% 233.15/43.29 | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | (6113) ~ (all_18_2 = e0)
% 233.15/43.29 | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | REDUCE: (339), (6113) imply:
% 233.15/43.29 | | | | | | | | | | | (6114) ~ (all_6_2 = e0)
% 233.15/43.29 | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | BETA: splitting (64) gives:
% 233.15/43.29 | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | (6115) ~ (all_22_2 = e1)
% 233.15/43.29 | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | REDUCE: (326), (6115) imply:
% 233.15/43.29 | | | | | | | | | | | | (6116) ~ (all_8_2 = e1)
% 233.15/43.29 | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | BETA: splitting (199) gives:
% 233.15/43.29 | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | (6117) all_54_5 = e3
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | COMBINE_EQS: (275), (6117) imply:
% 233.15/43.29 | | | | | | | | | | | | | (6118) all_8_2 = e3
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | REDUCE: (392), (6118) imply:
% 233.15/43.29 | | | | | | | | | | | | | (6119) $false
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | CLOSE: (6119) is inconsistent.
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | (6120) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | BETA: splitting (6120) gives:
% 233.15/43.29 | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | (6121) all_54_5 = e2
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | COMBINE_EQS: (275), (6121) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6122) all_8_2 = e2
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | COMBINE_EQS: (353), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6123) all_56_11 = e2
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | REDUCE: (366), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6124) ~ (all_52_1 = e2)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | REDUCE: (373), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6125) ~ (all_52_7 = e2)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | REDUCE: (375), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6126) ~ (all_52_9 = e2)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | REDUCE: (377), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6127) ~ (all_52_13 = e2)
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | REDUCE: (42), (6122) imply:
% 233.15/43.29 | | | | | | | | | | | | | | (6128) op(e2, e2) = e2
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 233.15/43.29 | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6129) ~ (all_26_2 = e3)
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | REDUCE: (4994), (6129) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | (6130) $false
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | CLOSE: (6130) is inconsistent.
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | (6131) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 233.15/43.29 | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 233.15/43.29 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 233.15/43.29 | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | (6132) ~ (all_36_2 = e2)
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | REDUCE: (328), (6132) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | (6133) ~ (all_6_2 = e2)
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 233.15/43.29 | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | (6134) all_54_10 = e3
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (6134) are inconsistent by sub-proof
% 233.15/43.29 | | | | | | | | | | | | | | | | | #2313.
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | (6135) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | BETA: splitting (6135) gives:
% 233.15/43.29 | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | (6136) all_54_10 = e2
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6133), (6136) are inconsistent by
% 233.15/43.29 | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | (6137) all_54_10 = e1 | all_54_10 = e0
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | BETA: splitting (6137) gives:
% 233.15/43.29 | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6138) all_54_10 = e1
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (6138) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6139) all_6_2 = e1
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | SIMP: (6139) implies:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6140) all_6_2 = e1
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (6140) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6141) all_56_21 = e1
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (6140) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6142) ~ (all_52_8 = e1)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | REDUCE: (385), (6140) imply:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | (6143) ~ (all_52_14 = e1)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (6144) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6144) gives:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (6145) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | = e3)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (6123), (6124), (6141), (6145),
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | #2310.
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (6146) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (4996), (6107), (6142), (6146),
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | | #1313.
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.29 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6147) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (165), (297), (381), (6114), (6123),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6125), (6126), (6137), (6141), (6143), (6147),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | #1408.
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | (6148) all_54_10 = e0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6114), (6148) are inconsistent by
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.30 | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.30 | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | End of split
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | (6149) all_36_2 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (6149) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | (6150) all_6_2 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | REDUCE: (391), (6150) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | (6151) ~ (e3 = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | REDUCE: (39), (6150) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | (6152) op(e1, e1) = e2
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | (6153) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.15/43.30 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | BETA: splitting (6153) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | (6154) all_58_12 = e2 & op(e0, e3) = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | ALPHA: (6154) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | (6155) all_58_12 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | (6156) op(e0, e3) = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | (6157) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (6157) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6158) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | ALPHA: (6158) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6159) op(e3, e0) = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6156) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6160) all_52_3 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (6159) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6161) all_52_12 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (6161) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | (6162) ~ (all_52_13 = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | (6163) ~ (all_50_2 = e0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (6103), (6163) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | (6164) $false
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6164) is inconsistent.
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | (6165) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6131) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | (6166) ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_26_1 & $i(all_26_0) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6166) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | (6167) ~ (all_26_0 = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | (6168) op(e0, e3) = all_26_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | (6169) op(all_26_1, e0) = all_26_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6165) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | (6170) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6170) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | (6171) ~ (all_50_0 = e1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | (6172) op(e3, e0) = all_50_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | (6173) op(all_50_1, e3) = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | (6174) ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6174) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | (6175) ~ (all_12_0 = e1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | (6176) op(e0, e3) = all_12_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | (6177) op(all_12_1, e0) = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6100) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6178) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6178) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6179) op(e3, e0) = all_16_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6180) op(all_16_1, e3) = all_16_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6156), (6168) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_26_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6168), (6176)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_26_1 = all_12_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6159), (6172) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6183) all_50_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (6172), (6179)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_50_1 = all_16_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6183), (6184) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_16_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6181), (6182) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_12_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6186) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6187) all_12_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6173), (6183) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6188) op(e2, e3) = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6169), (6181) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6189) op(e2, e0) = all_26_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6180), (6185) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6190) op(e2, e3) = all_16_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6177), (6187) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6191) op(e2, e0) = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e0, e2, simplifying with (164), (6191)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6192) all_52_13 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e0, e2, simplifying with (164), (6189)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_52_13 = all_26_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e3, e2, simplifying with (167), (6190)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_52_1 = all_16_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (6188)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_52_1 = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6194), (6195) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6196) all_50_0 = all_16_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6192), (6193) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6197) all_26_0 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6197) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_26_0 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6192) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_54_7 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6194) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6200) all_54_4 = all_16_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6194) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6201) ~ (all_52_9 = all_16_0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6201) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6202) ~ (all_52_9 = all_16_0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6192), (6194) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6203) ~ (all_16_0 = all_12_0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6124), (6194) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6204) ~ (all_16_0 = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6192) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (all_52_14 = all_12_0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6205) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6206) ~ (all_52_14 = all_12_0)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (6192) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6207) ~ (all_12_0 = e3)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6171), (6196) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6208) ~ (all_16_0 = e1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6167), (6198) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6209) ~ (all_12_0 = e2)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) all_54_7 = e3
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6199), (6210) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) all_12_0 = e3
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6207), (6211) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) $false
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6212) is inconsistent.
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (163), (164), (165), (200), (223),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (234), (241), (5000), (5001), (6106),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6112), (6128), (6152), (6155), (6175), (6199),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6200), (6202), (6203), (6204), (6206), (6208),
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | (6209), (6213), (function-axioms) are inconsistent
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1310.
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6214) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6214) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6215) ~ (all_16_1 = e1)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6216) op(e3, e0) = all_16_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6156), (6168) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_26_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6168), (6176)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_26_1 = all_12_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6159), (6172) gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_50_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (6172), (6216)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6220) all_50_1 = all_16_1
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6219), (6220) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6221) all_16_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6217), (6218) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6222) all_12_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6222) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6223) all_12_1 = e2
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6173), (6219) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6224) op(e2, e3) = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6169), (6217) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6225) op(e2, e0) = all_26_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6177), (6223) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6226) op(e2, e0) = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e0, e2, simplifying with (164), (6226)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_52_13 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_0, e0, e2, simplifying with (164), (6225)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_52_13 = all_26_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (6224)
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_52_1 = all_50_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6227), (6228) imply:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_26_0 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6230) implies:
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_26_0 = all_12_0
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.30 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6227) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_54_7 = all_12_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6229) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_54_4 = all_50_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6229) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6234) ~ (all_52_9 = all_50_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6234) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6235) ~ (all_52_9 = all_50_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6227), (6229) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6236) ~ (all_50_0 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6124), (6229) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6237) ~ (all_50_0 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6227) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6238) ~ (all_52_14 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6238) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6239) ~ (all_52_14 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (6227) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6240) ~ (all_12_0 = e3)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6167), (6231) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6241) ~ (all_12_0 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_54_7 = e3
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6232), (6242) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_12_0 = e3
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6240), (6243) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) $false
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6244) is inconsistent.
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (163), (164), (165), (200), (223),
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (234), (241), (5000), (5001), (6106),
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6112), (6128), (6152), (6155), (6171), (6175),
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6232), (6233), (6235), (6236), (6237), (6239),
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6241), (6245), (function-axioms) are inconsistent
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1309.
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6246) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6246) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6247) ~ (all_12_1 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6248) op(e0, e3) = all_12_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6156), (6168), (6247), (6248), (function-axioms)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1308.
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6249) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6249) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6250) ~ (all_50_1 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6251) op(e3, e0) = all_50_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6159), (6250), (6251), (function-axioms) are
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | (6252) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6252) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | (6253) ~ (all_26_1 = e1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | (6254) op(e0, e3) = all_26_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6165) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6255) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6255) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6256) ~ (all_50_0 = e1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6257) op(e3, e0) = all_50_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | (6258) op(all_50_1, e3) = all_50_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6259) ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6259) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6260) ~ (all_12_0 = e1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6261) op(e0, e3) = all_12_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | (6262) op(all_12_1, e0) = all_12_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6100) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6263) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6263) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6264) op(e3, e0) = all_16_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6265) op(all_16_1, e3) = all_16_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6156), (6254) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_26_1 = e2
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6254), (6261)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_26_1 = all_12_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6159), (6257) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_50_1 = e2
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (6257), (6264)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_50_1 = all_16_1
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6268), (6269) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_16_1 = e2
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6266), (6267) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_12_1 = e2
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6271) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_12_1 = e2
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6258), (6268) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6273) op(e2, e3) = all_50_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6265), (6270) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6274) op(e2, e3) = all_16_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6262), (6272) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6275) op(e2, e0) = all_12_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e0, e2, simplifying with (164), (6275)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6276) all_52_13 = all_12_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_16_0, e3, e2, simplifying with (167), (6274)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_52_1 = all_16_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (6273)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_52_1 = all_50_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6277), (6278) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_50_0 = all_16_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6276) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6280) all_54_7 = all_12_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6277) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6281) all_54_4 = all_16_0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6277) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6282) ~ (all_52_9 = all_16_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6282) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6283) ~ (all_52_9 = all_16_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6276), (6277) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6284) ~ (all_16_0 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6124), (6277) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6285) ~ (all_16_0 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6276) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6286) ~ (all_52_14 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6286) implies:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6287) ~ (all_52_14 = all_12_0)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (6276) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6288) ~ (all_12_0 = e3)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6127), (6276) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6289) ~ (all_12_0 = e2)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6256), (6279) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | (6290) ~ (all_16_0 = e1)
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_54_7 = e3
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6280), (6291) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_12_0 = e3
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6288), (6292) imply:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) $false
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6293) is inconsistent.
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 233.15/43.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (163), (164), (165), (200), (223),
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (234), (241), (5000), (5001), (6106),
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6112), (6128), (6152), (6155), (6260), (6280),
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6281), (6283), (6284), (6285), (6287), (6289),
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | (6290), (6294), (function-axioms) are inconsistent
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1310.
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6295) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_16_1)
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6295) implies:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6296) ~ (all_16_1 = e1)
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6297) op(e3, e0) = all_16_1
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (6156), (6254) gives:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_26_1 = e2
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (6254), (6261)
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_26_1 = all_12_1
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_50_1,
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (6159), (6257) gives:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_50_1 = e2
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_16_1,
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_1, e0, e3, simplifying with (6257), (6297)
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_50_1 = all_16_1
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6300), (6301) imply:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_16_1 = e2
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6298), (6299) imply:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_12_1 = e2
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6303) implies:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6304) all_12_1 = e2
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6258), (6300) imply:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6305) op(e2, e3) = all_50_0
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6262), (6304) imply:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6306) op(e2, e0) = all_12_0
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | all_12_0, e0, e2, simplifying with (164), (6306)
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_52_13 = all_12_0
% 233.15/43.34 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | all_50_0, e3, e2, simplifying with (167), (6305)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6308) all_52_1 = all_50_0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (6307) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_54_7 = all_12_0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6308) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_54_4 = all_50_0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6308) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6311) ~ (all_52_9 = all_50_0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6311) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6312) ~ (all_52_9 = all_50_0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6307), (6308) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6313) ~ (all_50_0 = all_12_0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6124), (6308) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6314) ~ (all_50_0 = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6307) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6315) ~ (all_52_14 = all_12_0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6315) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6316) ~ (all_52_14 = all_12_0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5000), (6307) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6317) ~ (all_12_0 = e3)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6127), (6307) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6318) ~ (all_12_0 = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_54_7 = e3
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6309), (6319) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_12_0 = e3
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6317), (6320) imply:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) $false
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6321) is inconsistent.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (160), (163), (164), (165), (200), (223),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (234), (241), (5000), (5001), (6106),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6112), (6128), (6152), (6155), (6256), (6260),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6309), (6310), (6312), (6313), (6314), (6316),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (6318), (6322), (function-axioms) are inconsistent
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1309.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6323) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6323) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6324) ~ (all_12_1 = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6325) op(e0, e3) = all_12_1
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6156), (6254), (6324), (6325), (function-axioms)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1308.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6326) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6326) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6327) ~ (all_50_1 = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6328) op(e3, e0) = all_50_1
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6159), (6327), (6328), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1884.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6329) all_58_10 = e2 & op(e2, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (6329) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6330) op(e2, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6127), (6330), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2317.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | (6331) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (6331) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6332) all_58_11 = e2 & op(e1, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (6332) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6333) all_58_11 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6334) op(e1, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6335) all_58_15 = e0 & op(e0, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6335) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6336) op(e0, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (6336), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6337) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6337) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6338) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | (6339) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6339) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6340) all_58_0 = e2 & op(e3, e3) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6340) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6341) op(e3, e3) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (239),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (4996), (6105), (6155), (6341),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | #1755.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6342) all_58_1 = e2 & op(e3, e2) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6342) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6343) all_58_1 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6344) op(e3, e2) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (235),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (236), (238), (4997), (6128), (6343), (6344),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | #1809.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | (6345) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6345) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6346) all_58_4 = e2 & op(e3, e1) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6346) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6347) all_58_4 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (165), (227),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (228), (230), (4998), (6152), (6347),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | #1306.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6348) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6348) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6349) all_58_9 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | (6350) op(e3, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6338) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_58_9 = e0 & op(e3, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6351) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6352) op(e3, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6350), (6352), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | (6353) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6353) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_58_10 = e0 & op(e2, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6354) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6355) op(e2, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (164), (220), (5007), (6334),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6349), (6355), (function-axioms) are inconsistent
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1305.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_58_11 = e0 & op(e1, e0) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6333), (6356) are inconsistent by sub-proof
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | | #2033.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6357) all_58_15 = e2 & op(e0, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (6357) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6358) op(e0, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6358), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6359) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | ALPHA: (6359) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6360) op(e0, e2) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6125), (6360), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | (6361) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.35 | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | BETA: splitting (6361) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6362) all_58_14 = e2 & op(e0, e1) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | ALPHA: (6362) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6363) all_58_14 = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | (6364) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | BETA: splitting (6364) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6365) all_58_4 = e0 & op(e3, e1) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6109), (6365), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6366) all_58_5 = e0 & op(e2, e1) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (6366) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6367) all_58_5 = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | (6368) op(e2, e1) = e0
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6369) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (165), (228), (6152), (6363),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6367), (6368), (6369), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1878.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (6370) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (4998), (6152), (6370),
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | | #1307.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | (6371) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6152), (6363), (6371), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2035.
% 233.15/43.35 | | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6372) all_58_15 = e2 & op(e0, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | ALPHA: (6372) implies:
% 233.15/43.35 | | | | | | | | | | | | | | | | | | (6373) op(e0, e0) = e2
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6373), (function-axioms) are
% 233.15/43.35 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.15/43.35 | | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | (6374) all_54_5 = e1 | all_54_5 = e0
% 233.15/43.35 | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | | REF_CLOSE: (275), (5010), (6116), (6374) are inconsistent by
% 233.15/43.35 | | | | | | | | | | | | | | sub-proof #2300.
% 233.15/43.35 | | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | End of split
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | Case 2:
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | (6375) all_22_2 = e1
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | COMBINE_EQS: (326), (6375) imply:
% 233.15/43.35 | | | | | | | | | | | | (6376) all_8_2 = e1
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | SIMP: (6376) implies:
% 233.15/43.35 | | | | | | | | | | | | (6377) all_8_2 = e1
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | COMBINE_EQS: (353), (6377) imply:
% 233.15/43.35 | | | | | | | | | | | | (6378) all_56_11 = e1
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | REDUCE: (373), (6377) imply:
% 233.15/43.35 | | | | | | | | | | | | (6379) ~ (all_52_7 = e1)
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | REDUCE: (375), (6377) imply:
% 233.15/43.35 | | | | | | | | | | | | (6380) ~ (all_52_9 = e1)
% 233.15/43.35 | | | | | | | | | | | |
% 233.15/43.35 | | | | | | | | | | | | REDUCE: (377), (6377) imply:
% 233.15/43.35 | | | | | | | | | | | | (6381) ~ (all_52_13 = e1)
% 233.15/43.36 | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | BETA: splitting (70) gives:
% 233.15/43.36 | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | (6382) ~ (all_26_2 = e3)
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | REDUCE: (4994), (6382) imply:
% 233.15/43.36 | | | | | | | | | | | | | (6383) $false
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | CLOSE: (6383) is inconsistent.
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | (6384) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 233.15/43.36 | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 233.15/43.36 | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 233.15/43.36 | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | BETA: splitting (85) gives:
% 233.15/43.36 | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | (6385) ~ (all_36_2 = e2)
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | REDUCE: (328), (6385) imply:
% 233.15/43.36 | | | | | | | | | | | | | | (6386) ~ (all_6_2 = e2)
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | (6387) all_54_10 = e3
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (6387) are inconsistent by sub-proof
% 233.15/43.36 | | | | | | | | | | | | | | | #2313.
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | (6388) ~ (all_54_10 = e3)
% 233.15/43.36 | | | | | | | | | | | | | | | (6389) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | BETA: splitting (6389) gives:
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | (6390) all_54_10 = e2
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6386), (6390) are inconsistent by
% 233.15/43.36 | | | | | | | | | | | | | | | | sub-proof #2312.
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | (6391) ~ (all_54_10 = e2)
% 233.15/43.36 | | | | | | | | | | | | | | | | (6392) all_54_10 = e1 | all_54_10 = e0
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | BETA: splitting (6392) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6393) all_54_10 = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (6393) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6394) all_6_2 = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | SIMP: (6394) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6395) all_6_2 = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REDUCE: (383), (6395) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6396) ~ (all_52_11 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REDUCE: (385), (6395) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6397) ~ (all_52_14 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REDUCE: (391), (6395) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6398) ~ (e3 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REDUCE: (6386), (6395) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6399) ~ (e2 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6400) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | BETA: splitting (6400) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | (6401) all_58_12 = e1 & op(e0, e3) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | ALPHA: (6401) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | (6402) all_58_12 = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | (6403) op(e0, e3) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | (6404) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6404) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (6405) all_58_9 = e1 & op(e3, e0) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6405) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (6406) op(e3, e0) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (39), (106), (110), (112), (113),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (143), (144), (145), (159), (160), (162), (163),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (167), (168), (193), (196), (197), (226), (243),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (258), (268), (269), (391), (4992), (5000),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (5001), (6100), (6103), (6106), (6112), (6384),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (6402), (6403), (6406), (function-axioms) are
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1298.
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | (6407) all_58_10 = e1 & op(e2, e0) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (6381), (6407), (function-axioms) are
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | (6408) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (5007), (6397), (6408),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | | #1297.
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | (6409) all_58_13 = e1 & op(e0, e2) = e1
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (6379), (6409), (function-axioms) are
% 233.15/43.36 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 233.15/43.36 | | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6410) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (5007), (6396), (6410),
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.36 | | | | | | | | | | | | | | | | | | #1296.
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6411) all_54_10 = e0
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6114), (6411) are inconsistent by
% 233.15/43.36 | | | | | | | | | | | | | | | | | sub-proof #2303.
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | (6412) all_36_2 = e2
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | COMBINE_EQS: (328), (6412) imply:
% 233.15/43.36 | | | | | | | | | | | | | | (6413) all_6_2 = e2
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | COMBINE_EQS: (266), (6413) imply:
% 233.15/43.36 | | | | | | | | | | | | | | (6414) all_56_21 = e2
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | REDUCE: (381), (6413) imply:
% 233.15/43.36 | | | | | | | | | | | | | | (6415) ~ (all_52_9 = e2)
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.15/43.36 | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | (6416) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.36 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.36 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.36 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.36 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.36 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.36 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.36 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.36 | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.36 | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.15/43.36 | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.15/43.36 | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.36 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | BETA: splitting (6416) gives:
% 233.15/43.36 | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | (6417) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.36 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.36 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.36 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.36 | | | | | | | | | | | | | | | | = e3)
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | BETA: splitting (6417) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6418) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 233.15/43.36 | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 233.15/43.36 | | | | | | | | | | | | | | | | | e3
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | ALPHA: (6418) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6419) ~ (all_56_21 = e2)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | REDUCE: (6414), (6419) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6420) $false
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | CLOSE: (6420) is inconsistent.
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | (6421) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 233.15/43.36 | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.15/43.36 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.15/43.36 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | BETA: splitting (6421) gives:
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6422) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 233.15/43.36 | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | e2
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | ALPHA: (6422) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6423) ~ (all_56_31 = e3)
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | REDUCE: (4995), (6423) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6424) $false
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | CLOSE: (6424) is inconsistent.
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6425) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 233.15/43.36 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 233.15/43.36 | | | | | | | | | | | | | | | | | | e3) = e3
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | ALPHA: (6425) implies:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6426) ~ (all_56_11 = e1)
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | REDUCE: (6378), (6426) imply:
% 233.15/43.36 | | | | | | | | | | | | | | | | | | (6427) $false
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | | CLOSE: (6427) is inconsistent.
% 233.15/43.36 | | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | End of split
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.36 | | | | | | | | | | | | | | | |
% 233.15/43.36 | | | | | | | | | | | | | | | | (6428) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.15/43.36 | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.36 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.36 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.15/43.36 | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.15/43.36 | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.15/43.36 | | | | | | | | | | | | | | | | = e0)
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4995), (4996), (6107), (6428),
% 233.15/43.37 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.37 | | | | | | | | | | | | | | | | #1368.
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | (6429) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.37 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.37 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.37 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.37 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.37 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.37 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.37 | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.15/43.37 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.15/43.37 | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.15/43.37 | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.15/43.37 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.15/43.37 | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | BETA: splitting (6429) gives:
% 233.15/43.37 | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | (6430) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.37 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.37 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.37 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.37 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.37 | | | | | | | | | | | | | | | | = e2)
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | BETA: splitting (6430) gives:
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6431) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.15/43.37 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2) = e2
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | ALPHA: (6431) implies:
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6432) op(e2, e1) = e2
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6415), (6432), (function-axioms) are
% 233.15/43.37 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6433) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 233.15/43.37 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.37 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.37 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6104), (6380), (6433), (function-axioms)
% 233.15/43.37 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1295.
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | (6434) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.15/43.37 | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.15/43.37 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.37 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.37 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.15/43.37 | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.37 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.15/43.37 | | | | | | | | | | | | | | | | = e0)
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | BETA: splitting (6434) gives:
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6435) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 233.15/43.37 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 233.15/43.37 | | | | | | | | | | | | | | | | | e2) = e0
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | ALPHA: (6435) implies:
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6436) ~ (all_56_21 = e2)
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | REDUCE: (6414), (6436) imply:
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6437) $false
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | CLOSE: (6437) is inconsistent.
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | (6438) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 233.15/43.37 | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 233.15/43.37 | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.15/43.37 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.15/43.37 | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | | REF_CLOSE: (6104), (6378), (6438) are inconsistent by
% 233.15/43.37 | | | | | | | | | | | | | | | | | sub-proof #1294.
% 233.15/43.37 | | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | (6439) all_18_2 = e0
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | COMBINE_EQS: (339), (6439) imply:
% 233.15/43.37 | | | | | | | | | | | (6440) all_6_2 = e0
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | SIMP: (6440) implies:
% 233.15/43.37 | | | | | | | | | | | (6441) all_6_2 = e0
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | COMBINE_EQS: (266), (6441) imply:
% 233.15/43.37 | | | | | | | | | | | (6442) all_56_21 = e0
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | REDUCE: (378), (6441) imply:
% 233.15/43.37 | | | | | | | | | | | (6443) ~ (all_52_6 = e0)
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | REDUCE: (385), (6441) imply:
% 233.15/43.37 | | | | | | | | | | | (6444) ~ (all_52_14 = e0)
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | REDUCE: (391), (6441) imply:
% 233.15/43.37 | | | | | | | | | | | (6445) ~ (e3 = e0)
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | REDUCE: (39), (6441) imply:
% 233.15/43.37 | | | | | | | | | | | (6446) op(e1, e1) = e0
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | BETA: splitting (235) gives:
% 233.15/43.37 | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | Case 1:
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | (6447) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 233.15/43.37 | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | BETA: splitting (6447) gives:
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | Case 1:
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | (6448) all_58_1 = e0 & op(e3, e2) = e0
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | REF_CLOSE: (170), (6108), (6448), (function-axioms) are
% 233.15/43.37 | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | (6449) all_58_3 = e0 & op(e2, e2) = e0
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | | REF_CLOSE: (42), (5010), (6449), (function-axioms) are
% 233.15/43.37 | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 233.15/43.37 | | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | | End of split
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.37 | | | | | | | | | | | Case 2:
% 233.15/43.37 | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | (6450) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 233.15/43.38 | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 233.15/43.38 | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | BETA: splitting (6450) gives:
% 233.15/43.38 | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | (6451) all_58_7 = e0 & op(e1, e2) = e0
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | REF_CLOSE: (162), (6443), (6451), (function-axioms) are
% 233.15/43.38 | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | Case 2:
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | (6452) all_58_13 = e0 & op(e0, e2) = e0
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | ALPHA: (6452) implies:
% 233.15/43.38 | | | | | | | | | | | | | (6453) op(e0, e2) = e0
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.15/43.38 | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | (6454) all_58_15 = e0 & op(e0, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | ALPHA: (6454) implies:
% 233.15/43.38 | | | | | | | | | | | | | | (6455) op(e0, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (6455), (function-axioms) are
% 233.15/43.38 | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | Case 2:
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | (6456) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.15/43.38 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.15/43.38 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.15/43.38 | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.15/43.38 | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | ALPHA: (6456) implies:
% 233.15/43.38 | | | | | | | | | | | | | | (6457) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.15/43.38 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.15/43.38 | | | | | | | | | | | | | | e1) = e0)
% 233.15/43.38 | | | | | | | | | | | | | | (6458) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.15/43.38 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 233.15/43.38 | | | | | | | | | | | | | | e0) = e0)
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 233.15/43.38 | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | (6459) all_58_9 = e0 & op(e3, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | ALPHA: (6459) implies:
% 233.15/43.38 | | | | | | | | | | | | | | | (6460) op(e3, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | REF_CLOSE: (168), (6110), (6460), (function-axioms) are
% 233.15/43.38 | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | Case 2:
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | (6461) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 233.15/43.38 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | BETA: splitting (6461) gives:
% 233.15/43.38 | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | (6462) all_58_10 = e0 & op(e2, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | ALPHA: (6462) implies:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6463) op(e2, e0) = e0
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 233.15/43.38 | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6453) gives:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6464) all_52_7 = e0
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.38 | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (6463) gives:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6465) all_52_13 = e0
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | REDUCE: (125), (6464) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6466) ~ (all_52_11 = e0)
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | SIMP: (6466) implies:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6467) ~ (all_52_11 = e0)
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | REDUCE: (117), (6465) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6468) ~ (all_52_9 = e0)
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | REDUCE: (110), (6465) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6469) ~ (all_52_14 = e0)
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | REDUCE: (377), (6465) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | (6470) ~ (all_8_2 = e0)
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 233.15/43.38 | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6471) ~ (all_22_2 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REDUCE: (326), (6471) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6472) ~ (all_8_2 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (123), (149), (158), (159), (160), (163),
% 233.15/43.38 | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (199), (213), (234),
% 233.15/43.38 | | | | | | | | | | | | | | | | | (275), (353), (366), (373), (375), (392), (4995),
% 233.15/43.38 | | | | | | | | | | | | | | | | | (4996), (5000), (5010), (6442), (6444), (6472),
% 233.15/43.38 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.38 | | | | | | | | | | | | | | | | | #1318.
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6473) all_22_2 = e1
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6474) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 233.15/43.38 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.15/43.38 | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (6473) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6475) all_8_2 = e1
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6476) all_30_2 = e1
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6477) all_56_11 = e1
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REDUCE: (366), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6478) ~ (all_52_1 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REDUCE: (369), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6479) ~ (all_52_4 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REDUCE: (375), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6480) ~ (all_52_9 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | REDUCE: (42), (6475) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | (6481) op(e2, e2) = e1
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 233.15/43.38 | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | (6482) ~ (all_26_2 = e3)
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | REDUCE: (4994), (6482) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | | (6483) $false
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | CLOSE: (6483) is inconsistent.
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | (6484) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 233.15/43.38 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 233.15/43.38 | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 233.15/43.38 | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 233.15/43.38 | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.38 | | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | | (6485) ~ (all_30_2 = e1)
% 233.15/43.38 | | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | | REDUCE: (6476), (6485) imply:
% 233.15/43.38 | | | | | | | | | | | | | | | | | | | (6486) $false
% 233.15/43.38 | | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | | CLOSE: (6486) is inconsistent.
% 233.15/43.38 | | | | | | | | | | | | | | | | | | |
% 233.15/43.38 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | (6487) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 233.15/43.39 | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | (6488) ~ (all_50_2 = e0)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | REDUCE: (6103), (6488) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | (6489) $false
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | CLOSE: (6489) is inconsistent.
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | (6490) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6491) all_54_4 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6491) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6492) all_52_1 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (6492) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6493) all_52_1 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (6493) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6494) ~ (all_52_2 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (6494) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6495) ~ (all_52_2 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6493) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6496) ~ (all_52_3 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6493) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6497) ~ (all_52_9 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | SIMP: (6497) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6498) ~ (all_52_9 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (6493) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | (6499) op(e2, e3) = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | (6500) all_54_6 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (6498), (6500) are inconsistent by
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | (6501) ~ (all_54_6 = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | (6502) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6502) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6503) all_54_6 = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6503) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6504) all_52_9 = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6504) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6505) all_52_9 = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6505) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6506) ~ (all_52_8 = e2)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6505) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6507) ~ (all_52_11 = e2)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6507) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6508) ~ (all_52_11 = e2)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6498), (6505) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6509) ~ (e3 = e2)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (6505) imply:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | (6510) op(e2, e1) = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | (6511) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6511) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_58_4 = e3 & op(e3, e1) = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6512) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_58_4 = e3
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6514) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_58_12 = e2 & op(e0, e3) = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6515) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_58_12 = e2
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6487) gives:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6517) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) op(e2, e1) = all_30_1
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (106), (110),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (120), (121), (134), (139), (140),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (143), (144), (145), (149), (157), (159),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (193), (196),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (211), (214),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (226), (227), (228),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (235), (236), (238), (239), (240),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (245), (255), (256),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (268), (269), (279), (280), (281),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (391), (4992), (4996), (4997), (4998),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000), (5001), (5007), (5008), (6100), (6103),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104), (6105), (6106), (6107), (6108), (6109),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110), (6112), (6442), (6444), (6446), (6457),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463), (6467), (6474), (6478), (6479), (6480),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484), (6495), (6498), (6499), (6506), (6508),
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513), (6516), (6518), (function-axioms) are
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6519) implies:
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) op(e2, e1) = all_30_1
% 233.15/43.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (106), (110),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (120), (121), (134), (139), (140),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (141), (143), (144), (145), (149), (157), (159),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (168),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (193), (196),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (200), (201), (202), (203), (211), (214),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (217), (220), (221), (223), (226), (227), (228),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (235), (236), (238), (239), (240),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (245), (255), (256),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (258), (268), (269), (279), (280), (281),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (391), (4992), (4996), (4997), (4998),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5000), (5001), (5007), (5008), (6100), (6103),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104), (6105), (6106), (6107), (6108), (6109),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110), (6112), (6442), (6444), (6446), (6457),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463), (6467), (6474), (6478), (6479), (6480),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484), (6495), (6498), (6499), (6506), (6508),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513), (6516), (6520), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1287.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6521) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) op(e0, e2) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6453), (6522), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6523) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_58_14 = e2 & op(e0, e1) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (227), (228),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480), (6510), (6513), (6524), (function-axioms)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1284.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_58_15 = e2 & op(e0, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6525) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) op(e0, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6526), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6527) all_58_5 = e3 & op(e2, e1) = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6498), (6527), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | (6528) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6528) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_58_8 = e3 & op(e1, e1) = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6446), (6529), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_58_14 = e3 & op(e0, e1) = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4998), (6530), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | (6531) ~ (all_54_6 = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (6531) imply:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | (6532) ~ (all_52_9 = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | (6533) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6533) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_58_4 = e3 & op(e3, e1) = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6534) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_58_4 = e3
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (165), (6480), (6535), (6536),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | #1339.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6537) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_58_8 = e1 & op(e1, e1) = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6538) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) op(e1, e1) = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6446), (6539), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_58_14 = e1 & op(e0, e1) = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6540) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) all_58_14 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6542) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) all_58_12 = e2 & op(e0, e3) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6543) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) all_58_12 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (6112), (6479), (6545),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1826.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6546) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_58_4 = e1 & op(e3, e1) = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6547) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_58_4 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6535), (6548) imply:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) e3 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5007), (6549) imply:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_58_15 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (4997), (6541), (6544),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550), (function-axioms) are inconsistent by
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1814.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_58_9 = e1 & op(e3, e0) = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6551) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_58_9 = e1
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6553) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) all_58_0 = e2 & op(e3, e3) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6554) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) op(e3, e3) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (239),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (245), (4996), (6105), (6544), (6555),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1755.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_58_1 = e2 & op(e3, e2) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6556) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_58_1 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6558) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6559) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) all_58_9 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6552), (6560) are inconsistent by sub-proof
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) all_58_10 = e2 & op(e2, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6561) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) op(e2, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6463), (6562), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6563) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_58_11 = e2 & op(e1, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6564) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_58_11 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6566) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) all_58_2 = e2 & op(e2, e3) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6567) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) op(e2, e3) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6499), (6568), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_58_3 = e2 & op(e2, e2) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6569) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) op(e2, e2) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (236),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (6453), (6557), (6570), (function-axioms)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1811.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6571) gives:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_58_5 = e2 & op(e2, e1) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6572) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) op(e2, e1) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6532), (6573), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_58_10 = e2 & op(e2, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6574) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) op(e2, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (220), (5007),
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (6565), (6575), (function-axioms) are
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_58_15 = e2 & op(e0, e0) = e2
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6576) implies:
% 233.15/43.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) op(e0, e0) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6577), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6578) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_58_4 = e2 & op(e3, e1) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6579) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_58_4 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (157), (165), (230), (4998), (6446),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498), (6580), (function-axioms) are inconsistent
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1493.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6581) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) all_58_9 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6552), (6582) are inconsistent by sub-proof
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1605.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6583) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) op(e0, e2) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6453), (6584), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5008), (6541), (6585),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1283.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6586) all_58_5 = e3 & op(e2, e1) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6498), (6586), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6587) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6587) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6588) all_58_8 = e3 & op(e1, e1) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6446), (6588), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_58_14 = e3 & op(e0, e1) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (4998), (6589), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | (6590) ~ (all_54_4 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | (6591) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (6590) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | (6592) ~ (all_52_1 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6591) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6593) all_54_4 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (6593) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6594) all_52_1 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6594) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6595) all_52_1 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (6595) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6596) ~ (all_52_3 = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6596) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6597) ~ (all_52_3 = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (6595) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6598) ~ (all_52_9 = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6598) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6599) ~ (all_52_9 = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (6595) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | (6600) op(e2, e3) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | (6601) all_54_12 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (6601) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | (6602) all_52_3 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4996), (6602) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | (6603) $false
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6603) is inconsistent.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | (6604) ~ (all_54_12 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | (6605) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6606) all_54_6 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (6606) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6607) all_52_9 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6607) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6608) all_52_9 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (6608) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6609) ~ (all_52_8 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (6608) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | (6610) ~ (all_52_11 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6611) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6611) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) all_58_0 = e3 & op(e3, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6612) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) op(e3, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (140), (145), (158), (159), (160),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (213), (232),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (4995), (4996), (5000), (6106),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6442), (6444), (6477), (6478), (6480), (6592),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6609), (6613), (function-axioms) are inconsistent
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1314.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_58_2 = e3 & op(e2, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6614) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) op(e2, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6600), (6615), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | (6616) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6616) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_58_6 = e3 & op(e1, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6617) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) all_58_6 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) op(e1, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6620) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) all_58_12 = e2 & op(e0, e3) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (6597), (6621), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2315.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6622) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) op(e0, e2) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6453), (6623), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6624) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) all_58_14 = e2 & op(e0, e1) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6625) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_58_14 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6627) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_58_0 = e3 & op(e3, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6628) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) op(e3, e3) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4992), (6484), (6618), (6619), (6629),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1383.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) all_58_1 = e3 & op(e3, e2) = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6630) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) all_58_1 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6632) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) all_58_12 = e1 & op(e0, e3) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6633) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) all_58_12 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (6481), (6631), (6635),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6636) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) all_58_7 = e2 & op(e1, e2) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6637) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) all_58_7 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (6619), (6638), (6639),
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2223.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6640) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_58_8 = e1 & op(e1, e1) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6641) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) op(e1, e1) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6446), (6642), (function-axioms) are
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) all_58_11 = e1 & op(e1, e0) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6643) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) all_58_11 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) op(e1, e0) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6646) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6647) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) op(e3, e0) = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6605) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) all_54_12 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (6597), (6649) are inconsistent by
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_54_12 = e1 | all_54_12 = e0
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_54_12 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (6651) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_52_3 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6652) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_52_3 = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (6653) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) ~ (all_52_11 = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6654) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) ~ (all_52_11 = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4996), (6653) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) ~ (e3 = e1)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (6653) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) op(e0, e3) = e1
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) all_54_14 = e3
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (4998), (6658) are inconsistent by
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) ~ (all_54_14 = e3)
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6660) gives:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_54_14 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (6661) imply:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) all_52_11 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6662) implies:
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) all_52_11 = e2
% 233.15/43.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6663) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) ~ (all_52_8 = e2)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4998), (6663) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) ~ (e3 = e2)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (6663) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) op(e0, e1) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (6104), (6481), (6490), (6600), (6648),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667), (function-axioms) are inconsistent by
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1795.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6668) gives:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6669) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) op(e1, e3) = all_56_5
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) op(e1, all_56_5) = e1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (6619), (6670), (6671), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2243.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6672) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) op(e0, e3) = all_56_7
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) op(e0, all_56_7) = e0
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6675) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) op(e0, e3) = all_12_1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (201), (202), (225), (280), (281), (4999),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109), (6110), (6446), (6484), (6609), (6618),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638), (6644), (6657), (6664), (6666), (6673),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674), (6676), (function-axioms) are inconsistent
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1282.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6677) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) op(e0, e3) = all_12_1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (201), (202), (225), (280), (281), (4999),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109), (6110), (6446), (6484), (6609), (6618),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638), (6644), (6657), (6664), (6666), (6673),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674), (6678), (function-axioms) are inconsistent
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1282.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) all_54_14 = e1 | all_54_14 = e0
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (6467), (6655), (6679) are inconsistent by
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1935.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_54_12 = e0
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (6107), (6680) are inconsistent by
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2068.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_58_10 = e2 & op(e2, e0) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6681) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) op(e2, e0) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6463), (6682), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (5008), (6645), (6683),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1281.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6684) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) op(e0, e2) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (6626), (6634), (6685), (function-axioms)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1536.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_58_13 = e1 & op(e0, e2) = e1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6686) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) op(e0, e2) = e1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6453), (6687), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6688) gives:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) all_58_14 = e1 & op(e0, e1) = e1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6626), (6689) are inconsistent by sub-proof
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2040.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) all_58_15 = e1 & op(e0, e0) = e1
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (5007), (6690) are inconsistent by sub-proof
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1393.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (4999), (6609), (6691),
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_58_15 = e2 & op(e0, e0) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6692) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) op(e0, e0) = e2
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6693), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) all_58_12 = e3 & op(e0, e3) = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6694) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) op(e0, e3) = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4996), (6695), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (6468), (6480), (6599), (6696) are
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2244.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | (6697) all_54_4 = e1 | all_54_4 = e0
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (6105), (6478), (6697) are inconsistent by
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1922.
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | (6698) all_58_11 = e0 & op(e1, e0) = e0
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | ALPHA: (6698) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | (6699) op(e1, e0) = e0
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (6444), (6699), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | End of split
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | (6700) all_14_2 = e0
% 233.15/43.42 | | | | | | | | | (6701) ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 233.15/43.42 | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 233.15/43.42 | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0) =
% 233.15/43.42 | | | | | | | | | all_14_1 & $i(all_14_1))
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | COMBINE_EQS: (344), (6700) imply:
% 233.15/43.42 | | | | | | | | | (6702) all_8_2 = e0
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | COMBINE_EQS: (311), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6703) all_48_2 = e0
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | COMBINE_EQS: (353), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6704) all_56_11 = e0
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (366), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6705) ~ (all_52_1 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (369), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6706) ~ (all_52_4 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (371), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6707) ~ (all_52_6 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (373), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6708) ~ (all_52_7 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (375), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6709) ~ (all_52_9 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (377), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6710) ~ (all_52_13 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | REDUCE: (392), (6702) imply:
% 233.15/43.42 | | | | | | | | | (6711) ~ (e3 = e0)
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | BETA: splitting (235) gives:
% 233.15/43.42 | | | | | | | | |
% 233.15/43.42 | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | (6712) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 233.15/43.42 | | | | | | | | | | & op(e2, e2) = e0)
% 233.15/43.42 | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | BETA: splitting (6712) gives:
% 233.15/43.42 | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | (6713) all_58_1 = e0 & op(e3, e2) = e0
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | REF_CLOSE: (170), (6706), (6713), (function-axioms) are
% 233.15/43.42 | | | | | | | | | | | inconsistent by sub-proof #1968.
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | (6714) all_58_3 = e0 & op(e2, e2) = e0
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | ALPHA: (6714) implies:
% 233.15/43.42 | | | | | | | | | | | (6715) all_58_3 = e0
% 233.15/43.42 | | | | | | | | | | | (6716) op(e2, e2) = e0
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | BETA: splitting (55) gives:
% 233.15/43.42 | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | (6717) ~ (all_16_2 = e0)
% 233.15/43.42 | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | REDUCE: (342), (6717) imply:
% 233.15/43.42 | | | | | | | | | | | | (6718) ~ (all_10_2 = e0)
% 233.15/43.42 | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | BETA: splitting (58) gives:
% 233.15/43.42 | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | (6719) ~ (all_18_2 = e0)
% 233.15/43.42 | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | REDUCE: (339), (6719) imply:
% 233.15/43.42 | | | | | | | | | | | | | (6720) ~ (all_6_2 = e0)
% 233.15/43.42 | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 233.15/43.42 | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | (6721) ~ (all_24_2 = e2)
% 233.15/43.42 | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | REDUCE: (301), (6721) imply:
% 233.15/43.42 | | | | | | | | | | | | | | (6722) ~ (all_10_2 = e2)
% 233.15/43.42 | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 233.15/43.42 | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | (6723) all_54_0 = e3
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (6723) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | (6724) all_10_2 = e3
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | SIMP: (6724) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | (6725) all_10_2 = e3
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | REDUCE: (355), (6725) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | (6726) ~ (all_52_1 = e3)
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | REDUCE: (361), (6725) imply:
% 233.15/43.42 | | | | | | | | | | | | | | | (6727) ~ (all_52_4 = e3)
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 233.15/43.42 | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | (6728) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (167), (6715), (6726), (6728),
% 233.15/43.42 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.42 | | | | | | | | | | | | | | | | #1424.
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | (6729) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 233.15/43.42 | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | BETA: splitting (6729) gives:
% 233.15/43.42 | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.42 | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | (6730) all_58_5 = e3 & op(e2, e1) = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | |
% 233.15/43.42 | | | | | | | | | | | | | | | | | ALPHA: (6730) implies:
% 233.15/43.42 | | | | | | | | | | | | | | | | | (6731) op(e2, e1) = e3
% 233.15/43.42 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (39), (70), (85), (91), (110), (112),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (113), (117), (118), (120), (121), (123), (125),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (126), (128), (133), (134), (135), (136), (139),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (140), (141), (144), (146), (149), (157), (158),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (168), (169), (170), (191), (192), (194), (195),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (196), (198), (200), (201), (202), (203), (211),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (212), (213), (216), (217), (218), (220), (221),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (229),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (236), (237), (238),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (239), (241), (242), (243), (244), (245), (246),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (256), (257), (266), (267), (268), (270), (279),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (280), (281), (282), (297), (322), (328), (367),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (378), (380), (381), (385), (4994), (4995),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (4996), (4997), (4999), (5007), (5008), (6704),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6705), (6706), (6710), (6715), (6716), (6720),
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6727), (6731), (function-axioms) are inconsistent
% 233.15/43.43 | | | | | | | | | | | | | | | | | by sub-proof #1251.
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6732) all_58_10 = e3 & op(e2, e0) = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | ALPHA: (6732) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6733) op(e2, e0) = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (5000), (6733), (function-axioms) are
% 233.15/43.43 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | (6734) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | REF_CLOSE: (292), (393), (6718), (6722), (6734) are
% 233.15/43.43 | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | (6735) all_24_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | COMBINE_EQS: (301), (6735) imply:
% 233.15/43.43 | | | | | | | | | | | | | | (6736) all_10_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | SIMP: (6736) implies:
% 233.15/43.43 | | | | | | | | | | | | | | (6737) all_10_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | COMBINE_EQS: (290), (6737) imply:
% 233.15/43.43 | | | | | | | | | | | | | | (6738) all_56_1 = e2
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | REDUCE: (355), (6737) imply:
% 233.15/43.43 | | | | | | | | | | | | | | (6739) ~ (all_52_1 = e2)
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | REDUCE: (45), (6737) imply:
% 233.15/43.43 | | | | | | | | | | | | | | (6740) op(e3, e3) = e2
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 233.15/43.43 | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | (6741) ~ (all_26_2 = e3)
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | REDUCE: (4994), (6741) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | (6742) $false
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | CLOSE: (6742) is inconsistent.
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | (6743) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 233.15/43.43 | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 233.15/43.43 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 233.15/43.43 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 233.15/43.43 | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | (6744) ~ (all_36_2 = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | REDUCE: (328), (6744) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6745) ~ (all_6_2 = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6746) all_54_10 = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (6746) are inconsistent by sub-proof
% 233.15/43.43 | | | | | | | | | | | | | | | | | #2313.
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6747) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | BETA: splitting (6747) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6748) all_54_10 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6745), (6748) are inconsistent by
% 233.15/43.43 | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6749) all_54_10 = e1 | all_54_10 = e0
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | BETA: splitting (6749) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6750) all_54_10 = e1
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (6750) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6751) all_6_2 = e1
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | SIMP: (6751) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6752) all_6_2 = e1
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (6752) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6753) all_56_21 = e1
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (6752) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6754) ~ (all_52_8 = e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | REDUCE: (381), (6752) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6755) ~ (all_52_9 = e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | REDUCE: (385), (6752) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6756) ~ (all_52_14 = e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6757) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (167), (169), (4995), (4996), (6738),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6739), (6753), (6754), (6757), (function-axioms)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1355.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6758) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6758) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (6759) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6759) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6760) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6760) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6761) ~ (all_56_21 = e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6753), (6761) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6762) $false
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6762) is inconsistent.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6763) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6704), (6755), (6763), (function-axioms)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1724.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (6764) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (6710), (6753), (6756), (6764),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | #1250.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6765) all_54_10 = e0
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (6720), (6765) are inconsistent by
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | End of split
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | (6766) all_36_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | (6767) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 233.15/43.43 | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 233.15/43.43 | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (6766) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6768) all_6_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (6768) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6769) all_40_2 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (6768) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6770) all_56_21 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | REDUCE: (381), (6768) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6771) ~ (all_52_9 = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | REDUCE: (391), (6768) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6772) ~ (e3 = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | REDUCE: (39), (6768) imply:
% 233.15/43.43 | | | | | | | | | | | | | | | | (6773) op(e1, e1) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | (6774) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | BETA: splitting (6774) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6775) all_58_12 = e2 & op(e0, e3) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | ALPHA: (6775) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6776) all_58_12 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (167), (239),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (241), (245), (4996), (6705), (6740), (6776),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.43 | | | | | | | | | | | | | | | | | | #1755.
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6777) all_58_13 = e2 & op(e0, e2) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | ALPHA: (6777) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6778) all_58_13 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | (6779) op(e0, e2) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | (6780) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | BETA: splitting (6780) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6781) all_58_9 = e2 & op(e3, e0) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (6781) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6782) all_58_9 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6783) op(e3, e0) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (242),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (246), (6706), (6740), (6782), (6783),
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | #1559.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6784) all_58_10 = e2 & op(e2, e0) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | ALPHA: (6784) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | (6785) op(e2, e0) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | (6786) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6786) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6787) all_58_6 = e2 & op(e1, e3) = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6787) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | (6788) all_58_6 = e2
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | (6789) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6789) gives:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_58_6 = e3 & op(e1, e3) = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6790) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_58_6 = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6788), (6791) are inconsistent by sub-proof
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | #2024.
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | (6792) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6792) implies:
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_58_7 = e3
% 233.15/43.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (162),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (217), (223), (226), (227), (229),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (239), (245), (4992), (4996),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (5007), (6705), (6707), (6715), (6720), (6740),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6743), (6773), (6778), (6785), (6788), (6793),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | #1246.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6794) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (162), (223), (6707), (6773),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6788), (6794), (function-axioms) are inconsistent
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1677.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6795) all_58_7 = e2 & op(e1, e2) = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6795) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6796) all_58_7 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6797) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6797) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_58_6 = e3 & op(e1, e3) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6798) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_58_6 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6800) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6800) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_58_1 = e3 & op(e3, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6801) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) all_58_1 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (236), (6715), (6778), (6796),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) are inconsistent by sub-proof #1750.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_58_3 = e3 & op(e2, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6803) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_58_3 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6778), (6779), (6796), (6804), (function-axioms)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1454.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6805) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6805) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6806) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) all_58_7 = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6796), (6807) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) e3 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6808) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) e3 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6799), (6809) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) all_58_6 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (159), (162),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (217), (223), (226), (227), (229),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (239), (245), (4992), (4996),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (5007), (6705), (6707), (6715), (6720), (6740),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6743), (6773), (6778), (6785), (6807), (6810),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | #1246.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_58_13 = e3 & op(e0, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6811) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) op(e0, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6779), (6812), (function-axioms) are
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_58_7 = e3 & op(e1, e2) = e3
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6796), (6813) are inconsistent by sub-proof
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | #1675.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6814) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (160), (5001), (6773), (6814),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | #2148.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | (6815) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6815) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6816) all_58_8 = e2 & op(e1, e1) = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6816) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6817) all_58_8 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (6779) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6818) all_52_7 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (6785) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6819) all_52_13 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (6818) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | (6820) ~ (all_52_4 = e2)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6821) ~ (all_48_2 = e0)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6703), (6821) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6822) $false
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6822) is inconsistent.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | (6823) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6701) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6824) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6824) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6825) ~ (all_14_0 = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6826) op(e2, e0) = all_14_1
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6827) op(all_14_1, e2) = all_14_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_14_1,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6826) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6828) all_14_1 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6827), (6828) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | (6829) op(e2, e2) = all_14_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6823) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6830) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6830) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6831) ~ (all_48_0 = e1)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6832) op(e2, e0) = all_48_1
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6833) op(all_48_1, e2) = all_48_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6832) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6834) all_48_1 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6716), (6829) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6835) all_14_0 = e0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6833), (6834) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6836) op(e2, e2) = all_48_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6716), (6836) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_48_0 = e0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6831), (6837) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6838) ~ (e1 = e0)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) ~ (all_40_2 = e2)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6769), (6839) imply:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) $false
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6840) is inconsistent.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (85),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (144), (146),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (191),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (198), (200), (201),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (212), (213), (216), (217),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (238), (239), (240), (241),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (267), (268), (270), (279), (280), (281),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (297), (322), (328), (367), (378), (380),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (381), (385), (391), (4994), (4995), (4996),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (4998), (4999), (5000), (5001), (5007),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (6704), (6705), (6706), (6707), (6709),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6710), (6715), (6716), (6720), (6738), (6739),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6743), (6766), (6767), (6770), (6771),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6773), (6778), (6779), (6785), (6817), (6820),
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | (6841), (function-axioms) are inconsistent by
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1236.
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6842) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6842) implies:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6843) ~ (all_48_1 = e3)
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6844) op(e2, e0) = all_48_1
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6844) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6845) all_48_1 = e2
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_14_0,
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6716), (6829) gives:
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_14_0 = e0
% 233.15/43.44 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (85),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (144), (146),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (191),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (198), (200), (201),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (212), (213), (216), (217),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (238), (239), (240), (241),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (266), (267), (268), (270), (279), (280), (281),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (282), (297), (322), (328), (367), (378), (380),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (381), (385), (391), (4994), (4995), (4996),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (4998), (4999), (5000), (5001), (5007),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (6704), (6705), (6706), (6707), (6709),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6710), (6715), (6716), (6720), (6738), (6739),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6743), (6766), (6767), (6769), (6770),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6771), (6773), (6778), (6779), (6785), (6817),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6820), (function-axioms) are inconsistent by
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | (6847) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6847) implies:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | (6848) ~ (all_14_1 = e1)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | (6849) op(e2, e0) = all_14_1
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_14_1,
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6849) gives:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_14_1 = e2
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6823) gives:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6851) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6851) implies:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6852) ~ (all_48_0 = e1)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6853) op(e2, e0) = all_48_1
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6854) op(all_48_1, e2) = all_48_0
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6853) gives:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6855) all_48_1 = e2
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6854), (6855) imply:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6856) op(e2, e2) = all_48_0
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_48_0,
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6716), (6856) gives:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_48_0 = e0
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6852), (6857) imply:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6858) ~ (e1 = e0)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (85),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (144), (146),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (191),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (198), (200), (201),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (212), (213), (216), (217),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (238), (239), (240), (241),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (266), (267), (268), (270), (279), (280), (281),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (282), (297), (322), (328), (367), (378), (380),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (381), (385), (391), (4994), (4995), (4996),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (4998), (4999), (5000), (5001), (5007),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (6704), (6705), (6706), (6707), (6709),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6710), (6715), (6716), (6720), (6738), (6739),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6743), (6766), (6767), (6769), (6770),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6771), (6773), (6778), (6779), (6785), (6817),
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6820), (function-axioms) are inconsistent by
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6859) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6859) implies:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6860) ~ (all_48_1 = e3)
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6861) op(e2, e0) = all_48_1
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_1,
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (6785), (6861) gives:
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_48_1 = e2
% 233.15/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (70), (85),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (91), (110), (112), (113), (117), (118), (120),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (126), (128), (133), (134),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (135), (136), (139), (140), (141), (144), (146),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (160), (162), (163),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (169), (170), (191),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (192), (194), (195), (196), (198), (200), (201),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (212), (213), (216), (217),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (232), (233),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (234), (236), (237), (238), (239), (240), (241),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (266), (267), (268), (270), (279), (280), (281),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (282), (297), (322), (328), (367), (378), (380),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (381), (385), (391), (4994), (4995), (4996),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (4997), (4998), (4999), (5000), (5001), (5007),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (5008), (6704), (6705), (6706), (6707), (6709),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6710), (6715), (6716), (6720), (6738), (6739),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6740), (6743), (6766), (6767), (6769), (6770),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6771), (6773), (6778), (6779), (6785), (6817),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | (6820), (function-axioms) are inconsistent by
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1235.
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | (6863) all_58_11 = e2 & op(e1, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6863) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | (6864) all_58_11 = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (216), (220), (5007),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | (5008), (6785), (6864), (function-axioms) are
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1344.
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | (6865) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (6865) gives:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6866) all_58_11 = e2 & op(e1, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (6866) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6867) all_58_11 = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (167), (216),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (220), (233), (5007), (5008), (6716), (6739),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6771), (6867), (function-axioms) are inconsistent
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | by sub-proof #1233.
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6868) all_58_15 = e2 & op(e0, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (6868) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6869) op(e0, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6869), (function-axioms) are
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | End of split
% 233.57/43.45 | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.45 | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | (6870) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.57/43.45 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.57/43.45 | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | BETA: splitting (6870) gives:
% 233.57/43.45 | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.45 | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | (6871) all_58_14 = e2 & op(e0, e1) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | ALPHA: (6871) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | (6872) all_58_14 = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.57/43.45 | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | (6873) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (6873) gives:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6874) all_58_9 = e2 & op(e3, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (6874) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6875) all_58_9 = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6876) op(e3, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (242),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (246), (6706), (6740), (6875), (6876),
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | #1559.
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6877) all_58_10 = e2 & op(e2, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | ALPHA: (6877) implies:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | (6878) op(e2, e0) = e2
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | (6879) all_58_15 = e0 & op(e0, e0) = e0
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6879) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | (6880) op(e0, e0) = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (6880), (function-axioms) are
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | (6881) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (6881) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | (6882) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | (6883) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6883) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | (6884) all_58_4 = e0 & op(e3, e1) = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6884) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | (6885) all_58_4 = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | (6886) op(e3, e1) = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | (6887) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6887) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6888) all_58_4 = e3 & op(e3, e1) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6888) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6889) op(e3, e1) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (6886), (6889), (function-axioms) are
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2118.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6890) all_58_5 = e3 & op(e2, e1) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6890) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | (6891) all_58_5 = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6892) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6892) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6893) all_58_2 = e1 & op(e2, e3) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6893) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6894) all_58_2 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6882) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6895) all_58_12 = e0 & op(e0, e3) = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6895) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6896) all_58_12 = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6897) op(e0, e3) = e0
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6898) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6898) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6899) all_58_6 = e2 & op(e1, e3) = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6899) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6900) all_58_6 = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6901) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (6740), (6773), (6872),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886), (6891), (6894), (6901), (function-axioms)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1232.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6902) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6902) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6903) all_58_6 = e3 & op(e1, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (6900), (6903) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1838.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6904) all_58_12 = e3 & op(e0, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6904) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6905) op(e0, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4996), (6905), (function-axioms) are
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6906) all_58_7 = e2 & op(e1, e2) = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6906) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6907) all_58_7 = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6908) op(e1, e2) = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6909) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (6740), (6773), (6872),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886), (6891), (6894), (6909), (function-axioms)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1232.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6910) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6910) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6911) all_58_6 = e3 & op(e1, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6911) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6912) all_58_6 = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6913) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6913) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6914) all_58_12 = e1 & op(e0, e3) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6914) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6915) op(e0, e3) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (4992), (6743), (6897), (6915),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6916) all_58_13 = e1 & op(e0, e2) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6916) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6917) all_58_13 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6918) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (230), (6773), (6872), (6885),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6886), (6918), (function-axioms) are inconsistent
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2046.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6919) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6919) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6920) all_58_8 = e1 & op(e1, e1) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (223), (225),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773), (6907), (6908), (6912), (6920),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2214.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6921) all_58_14 = e1 & op(e0, e1) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6921) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) all_58_14 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (5007), (6896), (6917),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6922) are inconsistent by sub-proof #1230.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6923) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6923) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6924) all_58_14 = e1 & op(e0, e1) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6924) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6925) all_58_14 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6872), (6925) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2044.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6926) all_58_15 = e1 & op(e0, e0) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6926) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6927) all_58_15 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5007), (6927) imply:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6928) e3 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6928) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6929) e3 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6891), (6929) imply:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930) all_58_5 = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (6773), (6872), (6886),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6930), (function-axioms) are inconsistent by
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2115.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6931) all_58_12 = e3 & op(e0, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6931) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6932) op(e0, e3) = e3
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (4996), (6932), (function-axioms) are
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6933) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6933) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6934) all_58_8 = e2 & op(e1, e1) = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6934) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6935) all_58_8 = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (9), (228), (230), (6773),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872), (6885), (6886), (6935), (function-axioms)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2043.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6936) all_58_11 = e2 & op(e1, e0) = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6936) implies:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6937) all_58_11 = e2
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (70), (85), (91), (110),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (120), (121), (123),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (136),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (144), (146), (149), (157),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (191), (192), (194),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (216), (217), (218), (220),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (232), (233), (234), (236), (237),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (256), (257), (266), (267), (268), (270),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (280), (281), (282), (297), (322), (328),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (367), (378), (380), (381), (385), (4994), (4995),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4996), (4998), (4999), (5001), (5007), (5008),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704), (6705), (6706), (6707), (6710), (6715),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716), (6720), (6773), (6886), (6937),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1229.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6938) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (158), (6708), (6872), (6938),
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1228.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6939) all_58_3 = e1 & op(e2, e2) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6715), (6939) are inconsistent by sub-proof
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (6940) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6940) gives:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6941) all_58_5 = e1 & op(e2, e1) = e1
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6941) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942) all_58_5 = e1
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (230), (6773), (6872), (6886),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6942), (function-axioms) are inconsistent by
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2115.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6943) all_58_10 = e1 & op(e2, e0) = e1
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6943) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6944) op(e2, e0) = e1
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (6878), (6944), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | (6945) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (4998), (6773), (6945),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | (6946) all_58_5 = e0 & op(e2, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6709), (6946), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6947) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6773), (6872), (6947), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2035.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | (6948) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (6948) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | (6949) all_58_11 = e2 & op(e1, e0) = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (6949) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | (6950) all_58_11 = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | (6951) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6951) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6952) all_58_4 = e0 & op(e3, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6952) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6953) op(e3, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (39), (70), (85), (91), (110),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (112), (113), (117), (118), (120), (121), (123),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (125), (126), (128), (133), (134), (135), (136),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (139), (140), (141), (144), (146), (149), (157),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (191), (192), (194),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (195), (196), (198), (200), (201), (202), (203),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (211), (212), (213), (216), (217), (218), (220),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (229), (230), (232), (233), (234), (236), (237),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (238), (239), (241), (242), (243), (244), (245),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (246), (256), (257), (266), (267), (268), (270),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (279), (280), (281), (282), (297), (322), (328),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (367), (378), (380), (381), (385), (4994), (4995),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (4996), (4998), (4999), (5001), (5007), (5008),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6704), (6705), (6706), (6707), (6710), (6715),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6716), (6720), (6773), (6950), (6953),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | #1229.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | (6954) all_58_5 = e0 & op(e2, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (6709), (6954), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | (6955) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6773), (6872), (6955), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2035.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | (6956) all_58_15 = e2 & op(e0, e0) = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | ALPHA: (6956) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | (6957) op(e0, e0) = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6957), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6958) all_58_15 = e2 & op(e0, e0) = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | ALPHA: (6958) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6959) op(e0, e0) = e2
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (5008), (6959), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | (6960) all_18_2 = e0
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | COMBINE_EQS: (339), (6960) imply:
% 233.57/43.47 | | | | | | | | | | | | | (6961) all_6_2 = e0
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | SIMP: (6961) implies:
% 233.57/43.47 | | | | | | | | | | | | | (6962) all_6_2 = e0
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | COMBINE_EQS: (266), (6962) imply:
% 233.57/43.47 | | | | | | | | | | | | | (6963) all_56_21 = e0
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | REDUCE: (380), (6962) imply:
% 233.57/43.47 | | | | | | | | | | | | | (6964) ~ (all_52_8 = e0)
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | REDUCE: (383), (6962) imply:
% 233.57/43.47 | | | | | | | | | | | | | (6965) ~ (all_52_11 = e0)
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | REDUCE: (39), (6962) imply:
% 233.57/43.47 | | | | | | | | | | | | | (6966) op(e1, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.57/43.47 | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | (6967) all_58_15 = e0 & op(e0, e0) = e0
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | ALPHA: (6967) implies:
% 233.57/43.47 | | | | | | | | | | | | | | (6968) op(e0, e0) = e0
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | REF_CLOSE: (7), (5008), (6968), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | (6969) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.57/43.47 | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.57/43.47 | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.57/43.47 | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.57/43.47 | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | ALPHA: (6969) implies:
% 233.57/43.47 | | | | | | | | | | | | | | (6970) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.57/43.47 | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.57/43.47 | | | | | | | | | | | | | | e1) = e0)
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.57/43.47 | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | (6971) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | BETA: splitting (6971) gives:
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | (6972) all_58_0 = e0 & op(e3, e3) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (6718), (6972), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | (6973) all_58_1 = e0 & op(e3, e2) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | REF_CLOSE: (170), (6706), (6973), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | End of split
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | (6974) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | BETA: splitting (6974) gives:
% 233.57/43.47 | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | (6975) all_58_4 = e0 & op(e3, e1) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | REF_CLOSE: (169), (6964), (6975), (function-axioms) are
% 233.57/43.47 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | (6976) all_58_9 = e0 & op(e3, e0) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | ALPHA: (6976) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | (6977) all_58_9 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | (6978) op(e3, e0) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | BETA: splitting (6970) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6979) all_58_12 = e0 & op(e0, e3) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | ALPHA: (6979) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6980) op(e0, e3) = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 233.57/43.47 | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (6980) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6981) all_52_3 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.57/43.47 | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (6978) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6982) all_52_12 = e0
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | REDUCE: (144), (6981) imply:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6983) ~ (all_52_2 = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | REDUCE: (113), (6982) imply:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6984) ~ (all_52_13 = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | REDUCE: (112), (6982) imply:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6985) ~ (all_52_14 = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | SIMP: (6985) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6986) ~ (all_52_14 = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | REDUCE: (365), (6982) imply:
% 233.57/43.47 | | | | | | | | | | | | | | | | | (6987) ~ (all_10_2 = e0)
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | BETA: splitting (4992) gives:
% 233.57/43.47 | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | Case 1:
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6988) ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 233.57/43.47 | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 233.57/43.47 | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | ALPHA: (6988) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6989) op(e0, e3) = all_12_1
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (45), (67), (70), (123),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (136), (141), (145), (146), (149), (157), (159),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (170), (195), (196), (198), (200), (204), (213),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (216), (220), (225), (226), (230), (233), (234),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (245), (267),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (268), (270), (279), (290), (292), (301), (355),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (357), (393), (4994), (4995), (4996), (4998),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (5000), (5001), (5007), (5008), (6705), (6710),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6715), (6716), (6718), (6963), (6966), (6977),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6980), (6983), (6986), (6989), (function-axioms)
% 233.57/43.47 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1214.
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6990) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 233.57/43.47 | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | ALPHA: (6990) implies:
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (6991) op(e0, e3) = all_12_1
% 233.57/43.47 | | | | | | | | | | | | | | | | | |
% 233.57/43.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (45), (67), (70), (123),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (136), (141), (145), (146), (149), (157), (159),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (170), (195), (196), (198), (200), (204), (213),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (216), (220), (225), (226), (230), (233), (234),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (245), (267),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (268), (270), (279), (290), (292), (301), (355),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (357), (393), (4994), (4995), (4996), (4998),
% 233.57/43.47 | | | | | | | | | | | | | | | | | | (5000), (5001), (5007), (5008), (6705), (6710),
% 233.57/43.48 | | | | | | | | | | | | | | | | | | (6715), (6716), (6718), (6963), (6966), (6977),
% 233.57/43.48 | | | | | | | | | | | | | | | | | | (6980), (6983), (6986), (6991), (function-axioms)
% 233.57/43.48 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1214.
% 233.57/43.48 | | | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | | Case 2:
% 233.57/43.48 | | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | | | (6992) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.57/43.48 | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.57/43.48 | | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (158), (6708), (6965), (6992),
% 233.57/43.48 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.48 | | | | | | | | | | | | | | | | | #1414.
% 233.57/43.48 | | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | Case 2:
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | (6993) all_16_2 = e0
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | COMBINE_EQS: (342), (6993) imply:
% 233.57/43.48 | | | | | | | | | | | | (6994) all_10_2 = e0
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | REDUCE: (359), (6994) imply:
% 233.57/43.48 | | | | | | | | | | | | (6995) ~ (all_52_3 = e0)
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | REDUCE: (365), (6994) imply:
% 233.57/43.48 | | | | | | | | | | | | (6996) ~ (all_52_12 = e0)
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | REDUCE: (393), (6994) imply:
% 233.57/43.48 | | | | | | | | | | | | (6997) ~ (e1 = e0)
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | REDUCE: (45), (6994) imply:
% 233.57/43.48 | | | | | | | | | | | | (6998) op(e3, e3) = e0
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (39), (70), (85), (91), (110),
% 233.57/43.48 | | | | | | | | | | | | (112), (113), (118), (120), (121), (123), (125),
% 233.57/43.48 | | | | | | | | | | | | (126), (128), (133), (134), (135), (136), (139),
% 233.57/43.48 | | | | | | | | | | | | (140), (141), (144), (146), (149), (157), (158),
% 233.57/43.48 | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 233.57/43.48 | | | | | | | | | | | | (169), (170), (191), (192), (194), (195), (196),
% 233.57/43.48 | | | | | | | | | | | | (198), (200), (201), (202), (203), (211), (212),
% 233.57/43.48 | | | | | | | | | | | | (213), (216), (217), (218), (220), (221), (222),
% 233.57/43.48 | | | | | | | | | | | | (223), (224), (225), (226), (227), (229), (230),
% 233.57/43.48 | | | | | | | | | | | | (232), (233), (234), (236), (237), (238), (239),
% 233.57/43.48 | | | | | | | | | | | | (241), (242), (243), (244), (245), (246), (256),
% 233.57/43.48 | | | | | | | | | | | | (257), (266), (267), (268), (270), (279), (280),
% 233.57/43.48 | | | | | | | | | | | | (281), (282), (297), (322), (328), (367), (378),
% 233.57/43.48 | | | | | | | | | | | | (380), (381), (385), (391), (4994), (4995),
% 233.57/43.48 | | | | | | | | | | | | (4996), (4997), (4999), (5000), (5001), (5007),
% 233.57/43.48 | | | | | | | | | | | | (5008), (6704), (6705), (6706), (6708), (6710),
% 233.57/43.48 | | | | | | | | | | | | (6715), (6716), (6995), (6996), (6998),
% 233.57/43.48 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.48 | | | | | | | | | | | | #1254.
% 233.57/43.48 | | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | Case 2:
% 233.57/43.48 | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | (6999) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 233.57/43.48 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 233.57/43.48 | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | | REF_CLOSE: (158), (162), (6707), (6708), (6999),
% 233.57/43.48 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.57/43.48 | | | | | | | | | | #1990.
% 233.57/43.48 | | | | | | | | | |
% 233.57/43.48 | | | | | | | | | End of split
% 233.57/43.48 | | | | | | | | |
% 233.57/43.48 | | | | | | | | End of split
% 233.57/43.48 | | | | | | | |
% 233.57/43.48 | | | | | | | End of split
% 233.57/43.48 | | | | | | |
% 233.57/43.48 | | | | | | End of split
% 233.57/43.48 | | | | | |
% 233.57/43.48 | | | | | End of split
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | Case 2:
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | (7000) all_10_2 = e1
% 233.57/43.48 | | | | | (7001) ( ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 & op(e3,
% 233.57/43.48 | | | | | e1) = all_10_1 & $i(all_10_0) & $i(all_10_1)) | ( ~
% 233.57/43.48 | | | | | (all_10_1 = e2) & op(e3, e1) = all_10_1 & $i(all_10_1))
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | COMBINE_EQS: (349), (7000) imply:
% 233.57/43.48 | | | | | (7002) all_38_2 = e1
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | COMBINE_EQS: (290), (7000) imply:
% 233.57/43.48 | | | | | (7003) all_56_1 = e1
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (355), (7000) imply:
% 233.57/43.48 | | | | | (7004) ~ (all_52_1 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (357), (7000) imply:
% 233.57/43.48 | | | | | (7005) ~ (all_52_2 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (359), (7000) imply:
% 233.57/43.48 | | | | | (7006) ~ (all_52_3 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (361), (7000) imply:
% 233.57/43.48 | | | | | (7007) ~ (all_52_4 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (363), (7000) imply:
% 233.57/43.48 | | | | | (7008) ~ (all_52_8 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (365), (7000) imply:
% 233.57/43.48 | | | | | (7009) ~ (all_52_12 = e1)
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | REDUCE: (45), (7000) imply:
% 233.57/43.48 | | | | | (7010) op(e3, e3) = e1
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | BETA: splitting (49) gives:
% 233.57/43.48 | | | | |
% 233.57/43.48 | | | | | Case 1:
% 233.57/43.48 | | | | | |
% 233.57/43.48 | | | | | | (7011) ~ (all_12_2 = e3)
% 233.57/43.48 | | | | | |
% 233.75/43.48 | | | | | | REDUCE: (346), (7011) imply:
% 233.75/43.48 | | | | | | (7012) ~ (all_4_2 = e3)
% 233.75/43.48 | | | | | |
% 233.75/43.48 | | | | | | BETA: splitting (52) gives:
% 233.75/43.48 | | | | | |
% 233.75/43.48 | | | | | | Case 1:
% 233.75/43.48 | | | | | | |
% 233.75/43.48 | | | | | | | (7013) ~ (all_14_2 = e0)
% 233.75/43.48 | | | | | | |
% 233.75/43.48 | | | | | | | REDUCE: (344), (7013) imply:
% 233.75/43.48 | | | | | | | (7014) ~ (all_8_2 = e0)
% 233.75/43.48 | | | | | | |
% 233.75/43.48 | | | | | | | BETA: splitting (58) gives:
% 233.75/43.48 | | | | | | |
% 233.75/43.48 | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | |
% 233.75/43.48 | | | | | | | | (7015) ~ (all_18_2 = e0)
% 233.75/43.48 | | | | | | | |
% 233.75/43.48 | | | | | | | | REDUCE: (339), (7015) imply:
% 233.75/43.48 | | | | | | | | (7016) ~ (all_6_2 = e0)
% 233.75/43.48 | | | | | | | |
% 233.75/43.48 | | | | | | | | BETA: splitting (61) gives:
% 233.75/43.48 | | | | | | | |
% 233.75/43.48 | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | (7017) ~ (all_20_2 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (341), (7017) imply:
% 233.75/43.48 | | | | | | | | | (7018) ~ (all_4_2 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | BETA: splitting (189) gives:
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | (7019) all_54_15 = e3
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | COMBINE_EQS: (299), (7019) imply:
% 233.75/43.48 | | | | | | | | | | (7020) all_4_2 = e3
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | REDUCE: (7012), (7020) imply:
% 233.75/43.48 | | | | | | | | | | (7021) $false
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | CLOSE: (7021) is inconsistent.
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | (7022) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | BETA: splitting (7022) gives:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7023) all_54_15 = e2
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | COMBINE_EQS: (299), (7023) imply:
% 233.75/43.48 | | | | | | | | | | | (7024) all_4_2 = e2
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | REDUCE: (390), (7024) imply:
% 233.75/43.48 | | | | | | | | | | | (7025) $false
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | CLOSE: (7025) is inconsistent.
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7026) all_54_15 = e1 | all_54_15 = e0
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | BETA: splitting (7026) gives:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | (7027) all_54_15 = e1
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | COMBINE_EQS: (299), (7027) imply:
% 233.75/43.48 | | | | | | | | | | | | (7028) all_4_2 = e1
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (7018), (7028) imply:
% 233.75/43.48 | | | | | | | | | | | | (7029) $false
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | CLOSE: (7029) is inconsistent.
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | (7030) all_54_15 = e0
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | COMBINE_EQS: (299), (7030) imply:
% 233.75/43.48 | | | | | | | | | | | | (7031) all_4_2 = e0
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | COMBINE_EQS: (254), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7032) all_56_31 = e0
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (368), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7033) ~ (all_52_3 = e0)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (387), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7034) ~ (all_52_12 = e0)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (388), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7035) ~ (all_52_13 = e0)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (389), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7036) ~ (all_52_14 = e0)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (36), (7031) imply:
% 233.75/43.48 | | | | | | | | | | | | (7037) op(e0, e0) = e0
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | BETA: splitting (64) gives:
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | (7038) ~ (all_22_2 = e1)
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | REDUCE: (326), (7038) imply:
% 233.75/43.48 | | | | | | | | | | | | | (7039) ~ (all_8_2 = e1)
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | REF_CLOSE: (159), (160), (164), (165), (167), (169), (199),
% 233.75/43.48 | | | | | | | | | | | | | (213), (275), (353), (366), (375), (392), (7003),
% 233.75/43.48 | | | | | | | | | | | | | (7008), (7014), (7032), (7033), (7035), (7036),
% 233.75/43.48 | | | | | | | | | | | | | (7039), (function-axioms) are inconsistent by
% 233.75/43.48 | | | | | | | | | | | | | sub-proof #1212.
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | (7040) all_22_2 = e1
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | COMBINE_EQS: (326), (7040) imply:
% 233.75/43.48 | | | | | | | | | | | | | (7041) all_8_2 = e1
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | COMBINE_EQS: (353), (7041) imply:
% 233.75/43.48 | | | | | | | | | | | | | (7042) all_56_11 = e1
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | REDUCE: (373), (7041) imply:
% 233.75/43.48 | | | | | | | | | | | | | (7043) ~ (all_52_7 = e1)
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | REDUCE: (377), (7041) imply:
% 233.75/43.48 | | | | | | | | | | | | | (7044) ~ (all_52_13 = e1)
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | | REF_CLOSE: (4), (110), (112), (113), (118), (121), (133),
% 233.75/43.48 | | | | | | | | | | | | | (145), (157), (158), (159), (160), (164), (165),
% 233.75/43.48 | | | | | | | | | | | | | (167), (168), (169), (170), (194), (197), (201),
% 233.75/43.48 | | | | | | | | | | | | | (213), (217), (220), (266), (269), (280), (297),
% 233.75/43.48 | | | | | | | | | | | | | (381), (385), (391), (7006), (7009), (7016),
% 233.75/43.48 | | | | | | | | | | | | | (7032), (7033), (7034), (7035), (7036), (7037),
% 233.75/43.48 | | | | | | | | | | | | | (7042), (7043), (7044), (function-axioms) are
% 233.75/43.48 | | | | | | | | | | | | | inconsistent by sub-proof #2273.
% 233.75/43.48 | | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | End of split
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | End of split
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | End of split
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | End of split
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | (7045) all_20_2 = e1
% 233.75/43.48 | | | | | | | | | (7046) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 233.75/43.48 | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 233.75/43.48 | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1) =
% 233.75/43.48 | | | | | | | | | all_20_1 & $i(all_20_1))
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | COMBINE_EQS: (341), (7045) imply:
% 233.75/43.48 | | | | | | | | | (7047) all_4_2 = e1
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | SIMP: (7047) implies:
% 233.75/43.48 | | | | | | | | | (7048) all_4_2 = e1
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | COMBINE_EQS: (324), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7049) all_34_2 = e1
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | COMBINE_EQS: (254), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7050) all_56_31 = e1
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (379), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7051) ~ (all_52_7 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (386), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7052) ~ (all_52_11 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (388), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7053) ~ (all_52_13 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (389), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7054) ~ (all_52_14 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (7012), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7055) ~ (e3 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | REDUCE: (390), (7048) imply:
% 233.75/43.48 | | | | | | | | | (7056) ~ (e2 = e1)
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | BETA: splitting (220) gives:
% 233.75/43.48 | | | | | | | | |
% 233.75/43.48 | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | (7057) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 233.75/43.48 | | | | | | | | | | e1 & op(e2, e0) = e1)
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | BETA: splitting (7057) gives:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7058) all_58_9 = e1 & op(e3, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | REF_CLOSE: (168), (7009), (7058), (function-axioms) are
% 233.75/43.48 | | | | | | | | | | | inconsistent by sub-proof #2278.
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7059) all_58_10 = e1 & op(e2, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | REF_CLOSE: (164), (7053), (7059), (function-axioms) are
% 233.75/43.48 | | | | | | | | | | | inconsistent by sub-proof #2277.
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | End of split
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | (7060) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 233.75/43.48 | | | | | | | | | | e1 & op(e0, e0) = e1)
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | BETA: splitting (7060) gives:
% 233.75/43.48 | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7061) all_58_11 = e1 & op(e1, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | ALPHA: (7061) implies:
% 233.75/43.48 | | | | | | | | | | | (7062) op(e1, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | REF_CLOSE: (160), (7054), (7062), (function-axioms) are
% 233.75/43.48 | | | | | | | | | | | inconsistent by sub-proof #2304.
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | Case 2:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | (7063) all_58_15 = e1 & op(e0, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | ALPHA: (7063) implies:
% 233.75/43.48 | | | | | | | | | | | (7064) all_58_15 = e1
% 233.75/43.48 | | | | | | | | | | | (7065) op(e0, e0) = e1
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | BETA: splitting (64) gives:
% 233.75/43.48 | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | Case 1:
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | (7066) ~ (all_22_2 = e1)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.48 | | | | | | | | | | | | REDUCE: (326), (7066) imply:
% 233.75/43.48 | | | | | | | | | | | | (7067) ~ (all_8_2 = e1)
% 233.75/43.48 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (42), (123), (126), (148),
% 233.75/43.49 | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 233.75/43.49 | | | | | | | | | | | | (168), (169), (170), (194), (199), (213), (218),
% 233.75/43.49 | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 233.75/43.49 | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (275),
% 233.75/43.49 | | | | | | | | | | | | (297), (375), (381), (391), (392), (7004), (7007),
% 233.75/43.49 | | | | | | | | | | | | (7014), (7016), (7050), (7051), (7053), (7064),
% 233.75/43.49 | | | | | | | | | | | | (7067), (function-axioms) are inconsistent by
% 233.75/43.49 | | | | | | | | | | | | sub-proof #1830.
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | (7068) all_22_2 = e1
% 233.75/43.49 | | | | | | | | | | | | (7069) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 233.75/43.49 | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.75/43.49 | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 233.75/43.49 | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | COMBINE_EQS: (326), (7068) imply:
% 233.75/43.49 | | | | | | | | | | | | (7070) all_8_2 = e1
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | SIMP: (7070) implies:
% 233.75/43.49 | | | | | | | | | | | | (7071) all_8_2 = e1
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | COMBINE_EQS: (347), (7071) imply:
% 233.75/43.49 | | | | | | | | | | | | (7072) all_30_2 = e1
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | COMBINE_EQS: (353), (7071) imply:
% 233.75/43.49 | | | | | | | | | | | | (7073) all_56_11 = e1
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | REDUCE: (375), (7071) imply:
% 233.75/43.49 | | | | | | | | | | | | (7074) ~ (all_52_9 = e1)
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | BETA: splitting (232) gives:
% 233.75/43.49 | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | (7075) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 233.75/43.49 | | | | | | | | | | | | | & op(e2, e2) = e1)
% 233.75/43.49 | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | BETA: splitting (7075) gives:
% 233.75/43.49 | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | (7076) all_58_2 = e1 & op(e2, e3) = e1
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | REF_CLOSE: (167), (7004), (7076), (function-axioms) are
% 233.75/43.49 | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | (7077) all_58_3 = e1 & op(e2, e2) = e1
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | ALPHA: (7077) implies:
% 233.75/43.49 | | | | | | | | | | | | | | (7078) all_58_3 = e1
% 233.75/43.49 | | | | | | | | | | | | | | (7079) op(e2, e2) = e1
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 233.75/43.49 | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | (7080) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 233.75/43.49 | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7008), (7074), (7080),
% 233.75/43.49 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.75/43.49 | | | | | | | | | | | | | | | #1211.
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | (7081) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 233.75/43.49 | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | BETA: splitting (7081) gives:
% 233.75/43.49 | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | (7082) all_58_8 = e1 & op(e1, e1) = e1
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | ALPHA: (7082) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | (7083) all_58_8 = e1
% 233.75/43.49 | | | | | | | | | | | | | | | | (7084) op(e1, e1) = e1
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_2, e1,
% 233.75/43.49 | | | | | | | | | | | | | | | | e1, e1, simplifying with (39), (7084) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | (7085) all_6_2 = e1
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | REDUCE: (378), (7085) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | (7086) ~ (all_52_6 = e1)
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | (7087) ~ (all_30_2 = e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | REDUCE: (7072), (7087) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | (7088) $false
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | CLOSE: (7088) is inconsistent.
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | (7089) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 233.75/43.49 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.75/43.49 | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | (7090) ~ (all_34_2 = e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | REDUCE: (7049), (7090) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | (7091) $false
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | CLOSE: (7091) is inconsistent.
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | (7092) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 233.75/43.49 | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | (7093) ~ (all_38_2 = e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | REDUCE: (7002), (7093) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | (7094) $false
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | CLOSE: (7094) is inconsistent.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | (7095) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7096) all_54_3 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (7096) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7097) all_52_12 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | SIMP: (7097) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7098) all_52_12 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7098) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7099) ~ (all_52_4 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7098) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7100) ~ (all_52_8 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7098) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7101) ~ (all_52_13 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | SIMP: (7101) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7102) ~ (all_52_13 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7098) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7103) ~ (all_52_14 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | SIMP: (7103) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | (7104) ~ (all_52_14 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | (7105) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7105) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | (7106) all_58_9 = e3 & op(e3, e0) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7106) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | (7107) all_58_9 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | (7108) op(e3, e0) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | (7109) all_54_1 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (7099), (7109) are inconsistent by
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | (7110) ~ (all_54_1 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | (7111) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | (7112) all_54_7 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (7102), (7112) are inconsistent by
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | (7113) ~ (all_54_7 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | (7114) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7115) all_54_2 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7100), (7115) are inconsistent by
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7116) ~ (all_54_2 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | (7117) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (7118) all_54_11 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (7104), (7118) are inconsistent by
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (7119) ~ (all_54_11 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (7120) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7121) all_54_4 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7121) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7122) all_52_1 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7122) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7123) all_52_1 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7123) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7124) ~ (all_52_9 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7124) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7125) ~ (all_52_9 = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7126) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7126) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7127) all_58_2 = e3 & op(e2, e3) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7127) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128) all_58_2 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7129) op(e2, e3) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7130) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7130) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7131) all_58_6 = e3 & op(e1, e3) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7131) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7132) all_58_6 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (239), (243), (7010),
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (7132), (function-axioms) are inconsistent
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1221.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7133) all_58_7 = e3 & op(e1, e2) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7133) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7134) all_58_7 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135) op(e1, e2) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7136) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7100), (7125), (7136),
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1628.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7137) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7137) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7138) all_58_8 = e3 & op(e1, e1) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (7138), (function-axioms) are
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7139) all_58_14 = e3 & op(e0, e1) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7139) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7140) all_58_14 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7141) op(e0, e1) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7141) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7142) all_52_11 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (7135) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7143) all_52_6 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7144) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7144) gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7145) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7145) implies:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7146) op(e3, e0) = all_56_25
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7147) op(e3, all_56_25) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (7108), (7146)
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7148) all_56_25 = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7147), (7148) imply:
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7149) op(e3, e3) = e3
% 233.75/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7010), (7149), (function-axioms) are
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7150) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7150) implies:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7151) op(e2, e0) = all_56_27
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7152) op(e2, all_56_27) = e2
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27, e0, e2, simplifying with (164), (7151)
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7153) all_56_27 = all_52_13
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7152), (7153) imply:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7154) op(e2, all_52_13) = e2
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7155) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (7003), (7100), (7129), (7155),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7156) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7156) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7157) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7157) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7158) op(e1, e3) = all_56_5
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7159) op(e1, all_56_5) = e1
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (7158)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7160) all_56_5 = all_52_2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7159), (7160) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161) op(e1, all_52_2) = e1
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7162) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7162) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7163) all_58_9 = e2 & op(e3, e0) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7163) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7164) op(e3, e0) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7108), (7164), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7165) all_58_10 = e2 & op(e2, e0) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7165) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7166) op(e2, e0) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7167) all_58_15 = e0 & op(e0, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7167) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7168) op(e0, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7168), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (7166) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7169) all_52_13 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7154), (7169) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7170) op(e2, e2) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7079), (7170), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7171) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (88), (110),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (148), (149), (159), (160), (163), (164),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (170), (192), (200), (214),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (223), (227), (228), (229),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (237), (239),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (257), (279), (391),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001), (7002), (7003), (7004), (7006), (7008),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7054), (7064), (7065), (7079), (7084),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099), (7107), (7125), (7128), (7134), (7141),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7161), (7171), (function-axioms) are inconsistent
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1184.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7172) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7172) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7173) op(e0, e3) = all_56_7
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7174) op(e0, all_56_7) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (7173)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7175) all_56_7 = all_52_3
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7174), (7175) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176) op(e0, all_52_3) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7177) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7177) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7178) all_58_6 = e2 & op(e1, e3) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7178) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7179) all_58_6 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (160), (216), (223), (239),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7054), (7065), (7084), (7128), (7134),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176), (7179), (function-axioms) are inconsistent
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1183.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7180) all_58_7 = e2 & op(e1, e2) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7134), (7180) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7181) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7181) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7182) all_58_8 = e2 & op(e1, e1) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7182) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7183) all_58_8 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7083), (7183) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7184) all_58_11 = e2 & op(e1, e0) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7184) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7185) all_58_11 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7186) all_58_15 = e0 & op(e0, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7186) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7187) op(e0, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7187), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7188) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7188) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7189) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7190) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7191) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7010), (7128), (7191),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1223.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7192) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7192) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7193) all_58_6 = e2 & op(e1, e3) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7193) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7194) all_58_6 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (160), (216), (223), (239),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7054), (7065), (7084), (7128), (7134),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7176), (7194), (function-axioms) are inconsistent
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1183.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7195) all_58_12 = e2 & op(e0, e3) = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7195) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7196) all_58_12 = e2
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7189) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7197) all_58_12 = e0 & op(e0, e3) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7196), (7197) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1760.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7198) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7198) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7199) all_58_13 = e0 & op(e0, e2) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7199) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7200) op(e0, e2) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7190) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7201) all_58_9 = e0 & op(e3, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7107), (7201) are inconsistent by sub-proof
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2103.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7202) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7202) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7203) all_58_10 = e0 & op(e2, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7203) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7204) op(e2, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (110), (160), (164), (221), (7064),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7108), (7154), (7203), (7204), (function-axioms)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1181.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7205) all_58_11 = e0 & op(e1, e0) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7205) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7206) all_58_11 = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7185), (7206) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7207) e2 = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7196), (7207) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208) all_58_12 = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (7064), (7140), (7200),
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7208), (function-axioms) are inconsistent by
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1916.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7209) all_58_14 = e0 & op(e0, e1) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7209) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7210) op(e0, e1) = e0
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7141), (7210), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2164.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7211) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7211) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7212) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7212) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7213) op(e1, e0) = all_56_29
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7214) op(e1, all_56_29) = e1
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (160), (7213)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7215) all_56_29 = all_52_14
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7214), (7215) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7216) op(e1, all_52_14) = e1
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7217) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7217) gives:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7218) all_56_0 = e3 & op(e3, all_56_1) = e3
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7218) implies:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7219) op(e3, all_56_1) = e3
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (7219) imply:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7220) op(e3, e1) = e3
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7100), (7220), (function-axioms) are
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7221) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7221) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7222) op(e2, e3) = all_56_3
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7223) op(e2, all_56_3) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7129), (7222), (7223), (function-axioms) are
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2262.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7224) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7224) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7225) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7225) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7226) op(e1, e3) = all_56_5
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7227) op(e1, all_56_5) = e1
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (7226)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7228) all_56_5 = all_52_2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7227), (7228) imply:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229) op(e1, all_52_2) = e1
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7230) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7230) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7231) all_58_6 = e2 & op(e1, e3) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7231) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7232) all_58_6 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7233) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7233) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7234) all_58_6 = e0 & op(e1, e3) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7232), (7234) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7235) all_58_7 = e0 & op(e1, e2) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7134), (7235) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2034.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7236) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7236) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7237) all_58_8 = e0 & op(e1, e1) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7237) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7238) op(e1, e1) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7084), (7238), (function-axioms) are
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7239) all_58_11 = e0 & op(e1, e0) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7239) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7240) op(e1, e0) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7241) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7241) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7242) all_58_9 = e2 & op(e3, e0) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7242) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7243) op(e3, e0) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7108), (7243), (function-axioms) are
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7244) all_58_10 = e2 & op(e2, e0) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7244) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245) op(e2, e0) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (110), (160), (164),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (231), (233), (7054), (7065), (7078),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079), (7104), (7107), (7128), (7216), (7240),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7245), (function-axioms) are inconsistent by
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1179.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7246) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (88), (110),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (148), (149), (159), (160), (163), (164),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (170), (192), (200), (214),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (223), (227), (228), (229),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (237), (239),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (257), (279), (391),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001), (7002), (7003), (7004), (7006), (7008),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7054), (7064), (7065), (7079), (7084),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099), (7107), (7125), (7128), (7134), (7141),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7229), (7246), (function-axioms) are inconsistent
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1184.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7247) all_58_7 = e2 & op(e1, e2) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7134), (7247) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7248) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7248) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7249) all_58_8 = e2 & op(e1, e1) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7249) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7250) all_58_8 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7083), (7250) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7251) all_58_11 = e2 & op(e1, e0) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7251) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252) all_58_11 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (88), (110),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (148), (149), (159), (160), (163), (164),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (169), (170), (192), (200), (214),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (223), (227), (228), (229),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (232), (233), (234), (235), (237), (239),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (257), (279), (391),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001), (7002), (7003), (7004), (7006), (7008),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7054), (7065), (7079), (7084), (7099),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107), (7125), (7128), (7134), (7141), (7229),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7252), (function-axioms) are inconsistent by
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1185.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7253) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7253) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7254) op(e0, e3) = all_56_7
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (7254)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7255) all_56_7 = all_52_3
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7256) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7256) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7257) all_58_6 = e2 & op(e1, e3) = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7257) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7258) all_58_6 = e2
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7259) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7259) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7260) all_58_6 = e0 & op(e1, e3) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7258), (7260) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1678.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7261) all_58_7 = e0 & op(e1, e2) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7134), (7261) are inconsistent by sub-proof
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2034.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7262) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7262) gives:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7263) all_58_8 = e0 & op(e1, e1) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7263) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7264) op(e1, e1) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7084), (7264), (function-axioms) are
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7265) all_58_11 = e0 & op(e1, e0) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7265) implies:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7266) all_58_11 = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7267) op(e1, e0) = e0
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (110), (160), (164),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (221), (231), (233), (7054), (7064),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7079), (7104), (7107), (7108),
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (7216), (7266), (7267), (function-axioms)
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1177.
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.77/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7268) all_58_7 = e2 & op(e1, e2) = e2
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7134), (7268) are inconsistent by sub-proof
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7269) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7269) gives:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7270) all_58_8 = e2 & op(e1, e1) = e2
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7270) implies:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7271) all_58_8 = e2
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7083), (7271) are inconsistent by sub-proof
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7272) all_58_11 = e2 & op(e1, e0) = e2
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7272) implies:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7273) op(e1, e0) = e2
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7274) all_58_15 = e0 & op(e0, e0) = e0
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7274) implies:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7275) op(e0, e0) = e0
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7275), (function-axioms) are
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7276) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7276) implies:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7277) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7278) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7278) gives:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7279) all_58_9 = e0 & op(e3, e0) = e0
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7107), (7279) are inconsistent by sub-proof
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2103.
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7280) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7280) gives:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7281) all_58_10 = e0 & op(e2, e0) = e0
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7281) implies:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7282) op(e2, e0) = e0
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7283) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7079), (7128), (7283),
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1209.
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7284) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7284) gives:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7285) all_58_5 = e2 & op(e2, e1) = e2
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7285) implies:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7286) op(e2, e1) = e2
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.78/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7287) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7287) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7288) all_58_4 = e0 & op(e3, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7288) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289) all_58_4 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7290) op(e3, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7291) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7291) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7292) all_58_6 = e0 & op(e1, e3) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7292) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7293) all_58_6 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7294) op(e1, e3) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7295) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7295) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7296) all_58_0 = e2 & op(e3, e3) = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7296) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7297) op(e3, e3) = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (7297), (function-axioms) are
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7298) all_58_1 = e2 & op(e3, e2) = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7298) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7299) all_58_1 = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (39), (88), (110), (144), (148), (149),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (164), (167), (169), (192),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (200), (214), (216), (217), (218), (230), (232),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (234), (239), (243), (245), (257), (279), (391),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7001), (7002), (7003), (7004), (7006), (7008),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7289), (7290), (7293), (7294), (7299),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7300), (function-axioms) are inconsistent by
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1192.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7301) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7301) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7302) all_58_7 = e0 & op(e1, e2) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (246), (7010), (7107), (7134),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289), (7299), (7302), (function-axioms) are
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1176.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7303) all_58_13 = e0 & op(e0, e2) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7303) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7304) op(e0, e2) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7277) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7305) all_58_12 = e0 & op(e0, e3) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7305) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306) all_58_12 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (7064), (7140), (7304),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7306), (function-axioms) are inconsistent by
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1916.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7307) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7307) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (7273) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7308) all_52_14 = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (7282) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7309) all_52_13 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (7290) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7310) all_52_8 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7308), (7309) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7311) ~ (e2 = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7102), (7309) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7312) ~ (e3 = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7053), (7309) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7313) ~ (e1 = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7104), (7308) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7314) ~ (e3 = e2)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7216), (7308) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7315) op(e1, e2) = e1
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7316) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7316) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7317) op(e3, e1) = all_10_1
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (7064), (7065), (7095), (7102), (7107),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135), (7290), (7315), (7317), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1175.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7318) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7318) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7319) op(e3, e1) = all_10_1
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (7064), (7065), (7095), (7102), (7107),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7135), (7290), (7315), (7319), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1175.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7320) all_58_14 = e0 & op(e0, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7320) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7321) all_58_14 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322) op(e0, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (228),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (391), (7008), (7289), (7321),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7322), (function-axioms) are inconsistent by
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7323) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (170), (246), (7010), (7099),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7289), (7323), (function-axioms) are inconsistent
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1187.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7324) all_58_7 = e0 & op(e1, e2) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7107), (7134), (7289), (7324), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1189.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7325) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7325) gives:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7326) all_58_8 = e0 & op(e1, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7326) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7327) op(e1, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (7125), (7289), (7327), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1662.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7328) all_58_11 = e0 & op(e1, e0) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7328) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7329) all_58_11 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7330) op(e1, e0) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (110), (160), (164),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (221), (231), (233), (7054), (7064),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7079), (7104), (7107), (7108),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (7216), (7329), (7330), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1177.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7331) all_58_5 = e0 & op(e2, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7331) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7332) op(e2, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7286), (7332), (function-axioms) are
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7333) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (7084), (7141), (7333),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1186.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7334) all_58_10 = e2 & op(e2, e0) = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7334) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7335) op(e2, e0) = e2
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7282), (7335), (function-axioms) are
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7336) all_58_11 = e0 & op(e1, e0) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7336) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7337) all_58_11 = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7338) op(e1, e0) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (110), (160), (164),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (221), (231), (233), (7054), (7064),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7079), (7104), (7107), (7108),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7128), (7216), (7337), (7338), (function-axioms)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1177.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7339) all_56_30 = e0 & op(e0, all_56_31) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7339) implies:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7340) op(e0, all_56_31) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7050), (7340) imply:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7341) op(e0, e1) = e0
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7141), (7341), (function-axioms) are
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2164.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7342) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (7104), (7342),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343) all_58_3 = e3 & op(e2, e2) = e3
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (7064), (7065), (7078), (7102), (7107),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7343), (function-axioms) are inconsistent by
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1174.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7344) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7102), (7125), (7344),
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1649.
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7345) ~ (all_54_4 = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (7345) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7347) ~ (all_52_1 = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7348) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7348) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7349) all_58_2 = e3 & op(e2, e3) = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7349) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7350) op(e2, e3) = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7347), (7350), (function-axioms) are
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351) all_58_3 = e3 & op(e2, e2) = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (7064), (7065), (7078), (7102), (7107),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7351), (function-axioms) are inconsistent by
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1174.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7352) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7352) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7353) all_58_5 = e3 & op(e2, e1) = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7353) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7354) all_58_5 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7355) op(e2, e1) = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7355) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7356) all_52_9 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7356) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7357) ~ (all_52_11 = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7357) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358) ~ (all_52_11 = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7089) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7359) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7359) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7360) ~ (all_30_0 = e0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7361) op(e2, e1) = all_30_1
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7362) op(all_30_1, e2) = all_30_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7363) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7363) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7364) op(e2, e1) = all_22_1
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7365) op(all_22_1, e2) = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7355), (7361) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7366) all_30_1 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7361), (7364)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7367) all_30_1 = all_22_1
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7366), (7367) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7368) all_22_1 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7368) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7369) all_22_1 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7362), (7366) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7370) op(e3, e2) = all_30_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7365), (7369) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7371) op(e3, e2) = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_0, e2, e3, simplifying with (170), (7371)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7372) all_52_4 = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e3, simplifying with (170), (7370)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7373) all_52_4 = all_30_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7372), (7373) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7374) all_30_0 = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7374) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7375) all_30_0 = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7376) all_54_1 = all_22_0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7377) ~ (all_52_6 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7377) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7378) ~ (all_52_6 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7379) ~ (all_52_7 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7379) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7380) ~ (all_52_7 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7381) ~ (all_52_8 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7381) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7382) ~ (all_52_8 = all_22_0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7099), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7383) ~ (all_22_0 = e3)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7007), (7372) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7384) ~ (all_22_0 = e1)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7360), (7375) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7385) ~ (all_22_0 = e0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7386) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7386) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7387) all_58_0 = e0 & op(e3, e3) = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7387) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7388) op(e3, e3) = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7010), (7388), (function-axioms) are
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7389) all_58_1 = e0 & op(e3, e2) = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7389) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7390) all_58_1 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7391) all_54_1 = e2
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7376), (7391) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7392) all_22_0 = e2
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7378), (7392) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7393) ~ (all_52_6 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7380), (7392) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7394) ~ (all_52_7 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7382), (7392) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7395) ~ (all_52_8 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7383), (7392) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7396) ~ (e3 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (110), (121), (125), (126),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (139), (140), (143), (148), (157), (158),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (195), (210),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (218), (219), (221),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (226), (227), (229), (231), (232), (235),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (255), (256), (257),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (281), (391), (7001),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003), (7004), (7005), (7006), (7007), (7008),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7046), (7050), (7051), (7052), (7053),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054), (7064), (7065), (7073), (7074), (7078),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079), (7083), (7084), (7086), (7092), (7095),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099), (7100), (7104), (7107), (7108), (7114),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117), (7120), (7346), (7347), (7354), (7355),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358), (7390), (7393), (7394), (7395),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7397) all_54_1 = e1 | all_54_1 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7376), (7384), (7385), (7397) are inconsistent by
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7398) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7398) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7399) all_58_4 = e0 & op(e3, e1) = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7399) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7400) all_58_4 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7401) all_54_1 = e2
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7376), (7401) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7402) all_22_0 = e2
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7378), (7402) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403) ~ (all_52_6 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7380), (7402) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7404) ~ (all_52_7 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7382), (7402) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7405) ~ (all_52_8 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7383), (7402) imply:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7406) ~ (e3 = e2)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (110), (121), (125), (126),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (139), (140), (143), (148), (157), (158),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (195), (210),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (218), (219), (221),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (226), (229), (231), (232), (235), (236),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (255), (256), (257), (258),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (279), (281), (391), (7001), (7003),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7005), (7006), (7007), (7008), (7010),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046), (7050), (7051), (7052), (7053), (7054),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7073), (7074), (7078), (7079),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083), (7086), (7092), (7095), (7099), (7100),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104), (7107), (7108), (7114), (7117), (7120),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346), (7347), (7354), (7355), (7358), (7400),
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7403), (7404), (7405), (function-axioms) are
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1139.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7407) all_54_1 = e1 | all_54_1 = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7376), (7384), (7385), (7407) are inconsistent by
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1381.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7408) all_58_9 = e0 & op(e3, e0) = e0
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7107), (7408) are inconsistent by sub-proof
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2103.
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7409) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7409) implies:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7410) ~ (all_22_1 = e0)
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7411) op(e2, e1) = all_22_1
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7355), (7361) gives:
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7412) all_30_1 = e3
% 233.79/43.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7361), (7411)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7413) all_30_1 = all_22_1
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7412), (7413) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7414) all_22_1 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7414) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7415) all_22_1 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7362), (7412) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7416) op(e3, e2) = all_30_0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4,
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_0, e2, e3, simplifying with (170), (7416)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7417) all_52_4 = all_30_0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7418) all_54_1 = all_30_0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7419) ~ (all_52_6 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7419) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7420) ~ (all_52_6 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7421) ~ (all_52_7 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7421) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7422) ~ (all_52_7 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7423) ~ (all_52_8 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7423) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7424) ~ (all_52_8 = all_30_0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7099), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7425) ~ (all_30_0 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7007), (7417) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7426) ~ (all_30_0 = e1)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7427) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7427) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7428) all_58_0 = e0 & op(e3, e3) = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7428) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7429) op(e3, e3) = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7010), (7429), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7430) all_58_1 = e0 & op(e3, e2) = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7430) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7431) all_58_1 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7432) all_54_1 = e2
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7418), (7432) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7433) all_30_0 = e2
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7420), (7433) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7434) ~ (all_52_6 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7422), (7433) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7435) ~ (all_52_7 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7424), (7433) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7436) ~ (all_52_8 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7425), (7433) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7437) ~ (e3 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (110), (121), (125), (126),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (139), (140), (143), (148), (157), (158),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (195), (210),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (218), (219), (221),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (226), (227), (229), (231), (232), (235),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (255), (256), (257),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (281), (391), (7001),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003), (7004), (7005), (7006), (7007), (7008),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7046), (7050), (7051), (7052), (7053),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7054), (7064), (7065), (7073), (7074), (7078),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7079), (7083), (7084), (7086), (7092), (7095),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7099), (7100), (7104), (7107), (7108), (7114),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7117), (7120), (7346), (7347), (7354), (7355),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7358), (7431), (7434), (7435), (7436),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1140.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7438) all_54_1 = e1 | all_54_1 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7360), (7418), (7426), (7438) are inconsistent by
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7439) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7439) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7440) all_58_4 = e0 & op(e3, e1) = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7440) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7441) all_58_4 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7111) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7442) all_54_1 = e2
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7418), (7442) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7443) all_30_0 = e2
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7420), (7443) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444) ~ (all_52_6 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7422), (7443) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7445) ~ (all_52_7 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7424), (7443) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7446) ~ (all_52_8 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7425), (7443) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7447) ~ (e3 = e2)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (39), (110), (121), (125), (126),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (139), (140), (143), (148), (157), (158),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (170), (190), (191), (192), (195), (210),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (213), (214), (216), (218), (219), (221),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (226), (229), (231), (232), (235), (236),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (241), (242), (243),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (255), (256), (257), (258),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (269), (279), (281), (391), (7001), (7003),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7005), (7006), (7007), (7008), (7010),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7046), (7050), (7051), (7052), (7053), (7054),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7073), (7074), (7078), (7079),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7083), (7086), (7092), (7095), (7099), (7100),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7104), (7107), (7108), (7114), (7117), (7120),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7346), (7347), (7354), (7355), (7358), (7441),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7444), (7445), (7446), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1139.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7448) all_54_1 = e1 | all_54_1 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7360), (7418), (7426), (7448) are inconsistent by
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1359.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7449) all_58_9 = e0 & op(e3, e0) = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7107), (7449) are inconsistent by sub-proof
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2103.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7450) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7450) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7451) ~ (all_30_1 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7452) op(e2, e1) = all_30_1
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7355), (7451), (7452), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7453) all_58_10 = e3 & op(e2, e0) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7453) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7454) op(e2, e0) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7102), (7454), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | (7455) all_58_10 = e3 & op(e2, e0) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7455) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | (7456) op(e2, e0) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (7102), (7456), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7457) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (7064), (7104), (7457),
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | #2058.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | (7458) ~ (all_54_3 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | (7459) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | REDUCE: (280), (7458) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | (7460) ~ (all_52_12 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7461) all_54_1 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (7461) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7462) all_52_4 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (7462) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7463) ~ (all_52_6 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (7463) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7464) ~ (all_52_6 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (7462) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7465) ~ (all_52_7 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (7465) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7466) ~ (all_52_7 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (7462) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7467) ~ (all_52_8 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | SIMP: (7467) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7468) ~ (all_52_8 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (7462) imply:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | (7469) ~ (all_52_12 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | (7470) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7470) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | (7471) all_58_0 = e3 & op(e3, e3) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7471) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | (7472) op(e3, e3) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7010), (7472), (function-axioms) are
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | (7473) all_58_1 = e3 & op(e3, e2) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7473) implies:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | (7474) all_58_1 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | (7475) op(e3, e2) = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | (7476) all_54_2 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7468), (7476) are inconsistent by
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | (7477) ~ (all_54_2 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | (7478) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7479) all_54_9 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (7464), (7479) are inconsistent by
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7480) ~ (all_54_9 = e3)
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | (7481) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (7482) all_54_13 = e3
% 233.79/43.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (7466), (7482) are inconsistent by
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (7483) ~ (all_54_13 = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (7484) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7485) all_54_12 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (7485) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7486) all_52_3 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7486) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7487) all_52_3 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (7487) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7488) ~ (all_52_1 = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (7487) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7489) ~ (all_52_11 = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7489) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7490) ~ (all_52_11 = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7491) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7491) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7492) all_58_4 = e3 & op(e3, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7492) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7493) op(e3, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7468), (7493), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7494) all_58_5 = e3 & op(e2, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7494) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7495) all_58_5 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7496) op(e2, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7497) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7010), (7488), (7497),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7498) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7498) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7499) all_58_6 = e3 & op(e1, e3) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7499) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7500) all_58_6 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7501) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (239), (241),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (7466), (7500), (7501), (function-axioms)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1138.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7502) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7502) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7503) all_58_14 = e3 & op(e0, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7490), (7503), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7504) all_58_15 = e3 & op(e0, e0) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7010), (7064), (7488), (7500), (7504),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1137.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7505) all_58_12 = e3 & op(e0, e3) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7505) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7506) all_58_12 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7507) op(e0, e3) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7508) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (239), (243),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7464), (7506), (7508), (function-axioms)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1136.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7509) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7509) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7510) all_58_8 = e3 & op(e1, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (7510), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7511) all_58_11 = e3 & op(e1, e0) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7511) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512) all_58_11 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7513) op(e1, e0) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (7513) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7514) all_52_14 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e3,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (7496) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7515) all_52_9 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7516) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7516) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7517) ~ (all_22_0 = e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7518) op(e2, e1) = all_22_1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7519) op(all_22_1, e2) = all_22_0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7089), (7475), (7496), (7517), (7518), (7519),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1380.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7520) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7520) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7521) ~ (all_22_1 = e0)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522) op(e2, e1) = all_22_1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7089) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7523) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7523) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7524) ~ (all_30_0 = e0)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7525) op(e2, e1) = all_30_1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7526) op(all_30_1, e2) = all_30_0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7496), (7525) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7527) all_30_1 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7522), (7525)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7528) all_30_1 = all_22_1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7527), (7528) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7529) all_22_1 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7526), (7527) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7530) op(e3, e2) = all_30_0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_0,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (7475), (7530) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7531) all_30_0 = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7532) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7532) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7533) all_56_0 = e3 & op(e3, all_56_1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7533) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7534) op(e3, all_56_1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (7534) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7535) op(e3, e1) = e3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7468), (7535), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7536) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7536) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7537) op(e2, e3) = all_56_3
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7538) op(e2, all_56_3) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (7537)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7539) all_56_3 = all_52_1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7538), (7539) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7540) op(e2, all_52_1) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7541) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7010), (7073), (7475), (7496), (7541),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1134.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7542) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7542) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7543) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7543) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7544) op(e1, e2) = all_56_13
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7545) op(e1, all_56_13) = e1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (162), (7544)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7546) all_56_13 = all_52_6
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7545), (7546) imply:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7547) op(e1, all_52_6) = e1
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7548) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7548) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7549) all_58_12 = e2 & op(e0, e3) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7549) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7550) all_58_12 = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7506), (7550) are inconsistent by sub-proof
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1552.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7551) all_58_13 = e2 & op(e0, e2) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7551) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7552) op(e0, e2) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (225), (228), (229), (230), (235),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (243), (391), (7008), (7010), (7054),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7083), (7474), (7496), (7506),
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512), (7547), (7552), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1133.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7553) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7553) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7554) all_58_14 = e2 & op(e0, e1) = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7554) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7555) all_58_14 = e2
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7556) all_58_15 = e0 & op(e0, e0) = e0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7556) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7557) op(e0, e0) = e0
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7557), (function-axioms) are
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7558) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7558) implies:
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7559) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.79/43.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7560) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7559) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7561) all_58_12 = e0 & op(e0, e3) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7561) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7562) all_58_12 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7506), (7562) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1971.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7563) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7563) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7564) all_58_13 = e0 & op(e0, e2) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7564) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7565) op(e0, e2) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7566) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7566) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7567) all_58_4 = e0 & op(e3, e1) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7567) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568) all_58_4 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7569) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7010), (7474), (7569),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1132.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7570) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7570) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7571) all_58_4 = e2 & op(e3, e1) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (229), (7083), (7495), (7555),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568), (7571) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7572) all_58_9 = e2 & op(e3, e0) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7572) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7573) all_58_9 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7574) op(e3, e0) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7560) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7575) all_58_9 = e0 & op(e3, e0) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7575) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7576) all_58_9 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568), (7576), (function-axioms) are inconsistent
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1190.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7577) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7577) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7578) all_58_10 = e0 & op(e2, e0) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7578) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7579) op(e2, e0) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7580) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7580) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7581) all_58_2 = e2 & op(e2, e3) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7581) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7582) all_58_2 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7583) op(e2, e3) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7584) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (244), (246),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7568), (7573), (7582), (7584),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1130.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7585) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7585) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7586) all_58_6 = e0 & op(e1, e3) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7586) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7587) all_58_6 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7588) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7588) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7589) all_58_0 = e0 & op(e3, e3) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7589) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7590) op(e3, e3) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (241), (243),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7488), (7587), (7590), (function-axioms)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1441.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7591) all_58_1 = e0 & op(e3, e2) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7591) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7592) all_58_1 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7474), (7592) imply:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7593) e3 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7506), (7593) imply:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7594) all_58_12 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7466), (7565), (7594), (function-axioms)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1914.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7595) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7595) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (7583) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7596) all_52_1 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e3, simplifying with (168), (7574) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7597) all_52_12 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7540), (7596) imply:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7598) op(e2, e2) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7079), (7598), (function-axioms) are
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7599) all_58_9 = e0 & op(e3, e0) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7599) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7600) all_58_9 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7568), (7600), (function-axioms) are inconsistent
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1190.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7601) all_58_12 = e0 & op(e0, e3) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7601) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7602) all_58_12 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7466), (7565), (7602), (function-axioms)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1914.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7603) all_58_3 = e2 & op(e2, e2) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7603) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7604) op(e2, e2) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7079), (7604), (function-axioms) are
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7605) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (7496), (7579), (7605),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1129.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7606) all_58_11 = e0 & op(e1, e0) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7466), (7506), (7512), (7565), (7606),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1128.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7607) all_58_5 = e0 & op(e2, e1) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7607) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7608) op(e2, e1) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7521), (7522), (7525), (7608), (function-axioms)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1841.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7609) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7084), (7555), (7609),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7610) all_58_14 = e0 & op(e0, e1) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7555), (7610) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2036.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7611) all_58_15 = e2 & op(e0, e0) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7611) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7612) all_58_15 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7064), (7612) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7613) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7613) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7614) op(e0, e2) = all_56_15
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7615) op(e0, all_56_15) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (158), (7614)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7616) all_56_15 = all_52_7
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7615), (7616) imply:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617) op(e0, all_52_7) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7618) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7618) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7619) all_58_12 = e2 & op(e0, e3) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7619) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7620) all_58_12 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7506), (7620) are inconsistent by sub-proof
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1552.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7621) all_58_13 = e2 & op(e0, e2) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7621) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7622) op(e0, e2) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (158), (164),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (216), (219), (223), (225),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (233), (235), (239), (240), (243),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (7008), (7010), (7064),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7079), (7083), (7084), (7466),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474), (7488), (7495), (7496), (7506), (7512),
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7617), (7622), (function-axioms) are inconsistent
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1126.
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7623) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7623) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7624) all_58_14 = e2 & op(e0, e1) = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7624) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7625) all_58_14 = e2
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7626) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7626) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7627) all_58_4 = e0 & op(e3, e1) = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7627) implies:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628) all_58_4 = e0
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7629) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7010), (7474), (7629),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1132.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7630) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7630) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7631) all_58_4 = e2 & op(e3, e1) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (229), (7083), (7495), (7625),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628), (7631) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1156.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7632) all_58_9 = e2 & op(e3, e0) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7632) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7633) all_58_9 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7634) all_58_15 = e0 & op(e0, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7634) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7635) op(e0, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7635), (function-axioms) are
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7636) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7636) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7637) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7637) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7638) all_58_12 = e0 & op(e0, e3) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7506), (7638) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1641.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7639) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7639) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7640) all_58_13 = e0 & op(e0, e2) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7640) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7641) all_58_13 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7642) op(e0, e2) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7643) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7079), (7474), (7643),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7644) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7644) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7645) all_58_7 = e2 & op(e1, e2) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7645) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7646) all_58_7 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7647) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7647) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7648) all_58_6 = e0 & op(e1, e3) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7648) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7649) all_58_6 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7650) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7650) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7651) all_58_0 = e2 & op(e3, e3) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7651) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7652) op(e3, e3) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (7652), (function-axioms) are
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7653) all_58_2 = e2 & op(e2, e3) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7653) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7654) all_58_2 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7655) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7655) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7656) all_58_2 = e0 & op(e2, e3) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628), (7633), (7654), (7656), (function-axioms)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1131.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7657) all_58_3 = e0 & op(e2, e2) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7657) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7658) all_58_3 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (236), (237),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (7007), (7641), (7642), (7658),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1374.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7659) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7659) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7660) all_58_5 = e0 & op(e2, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7660) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7661) op(e2, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7521), (7522), (7525), (7661), (function-axioms)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1841.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7662) all_58_10 = e0 & op(e2, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7662) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7663) op(e2, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (7642) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7664) all_52_7 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (7663) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7665) all_52_13 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7053), (7665) imply:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7666) ~ (e1 = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7617), (7664) imply:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7667) op(e0, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7065), (7667), (function-axioms) are
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7668) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7668) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7669) all_58_6 = e2 & op(e1, e3) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7669) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7670) all_58_6 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7649), (7670) imply:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7671) e2 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7671) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7672) e2 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7633), (7672) imply:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7673) all_58_9 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628), (7673), (function-axioms) are inconsistent
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1190.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7674) all_58_12 = e2 & op(e0, e3) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7506), (7674) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1974.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7675) all_58_7 = e0 & op(e1, e2) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7628), (7633), (7646), (7675), (function-axioms)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1125.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7676) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7676) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7677) all_58_8 = e0 & op(e1, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7677) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7678) op(e1, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7084), (7678), (function-axioms) are
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7679) all_58_11 = e0 & op(e1, e0) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7466), (7506), (7512), (7642), (7679),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1128.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7680) all_58_13 = e2 & op(e0, e2) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7680) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7681) op(e0, e2) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7642), (7681), (function-axioms) are
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7682) all_58_14 = e0 & op(e0, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7682) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) all_58_14 = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (229), (7083), (7495), (7628),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7683) are inconsistent by sub-proof #1265.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7684) all_58_5 = e0 & op(e2, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7684) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7685) op(e2, e1) = e0
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7521), (7522), (7525), (7685), (function-axioms)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1841.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7686) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7084), (7625), (7686),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7687) all_58_15 = e2 & op(e0, e0) = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7687) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7688) all_58_15 = e2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7064), (7688) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7689) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7689) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7690) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7690) implies:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7691) op(e1, e3) = all_56_5
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7692) op(e1, all_56_5) = e1
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (7691)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7693) all_56_5 = all_52_2
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7692), (7693) imply:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7694) op(e1, all_52_2) = e1
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7695) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (7010), (7073), (7475), (7496), (7695),
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1134.
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7696) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7696) gives:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7697) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.79/43.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7697) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7698) op(e1, e2) = all_56_13
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7699) op(e1, all_56_13) = e1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (162), (7698)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7700) all_56_13 = all_52_6
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7699), (7700) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7701) op(e1, all_52_6) = e1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7702) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7702) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7703) all_58_12 = e2 & op(e0, e3) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7703) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7704) all_58_12 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7506), (7704) are inconsistent by sub-proof
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1552.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7705) all_58_13 = e2 & op(e0, e2) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7705) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7706) op(e0, e2) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (216), (225), (228), (229), (230), (235),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (243), (391), (7008), (7010), (7054),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7083), (7474), (7496), (7506),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7512), (7701), (7706), (function-axioms) are
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1133.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7707) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7707) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7708) all_58_14 = e2 & op(e0, e1) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7708) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7709) all_58_14 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (223), (224), (227), (229),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (239), (244), (246), (7010), (7054),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7083), (7084), (7466),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474), (7495), (7496), (7506), (7512), (7521),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522), (7525), (7694), (7709), (function-axioms)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1124.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7710) all_58_15 = e2 & op(e0, e0) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7710) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7711) all_58_15 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7064), (7711) are inconsistent by sub-proof
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7712) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7712) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7713) op(e0, e2) = all_56_15
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7714) op(e0, all_56_15) = e0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (158), (7713)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7715) all_56_15 = all_52_7
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7714), (7715) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716) op(e0, all_52_7) = e0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7717) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7717) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7718) all_58_12 = e2 & op(e0, e3) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7718) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7719) all_58_12 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (7506), (7719) are inconsistent by sub-proof
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1552.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7720) all_58_13 = e2 & op(e0, e2) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7720) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7721) op(e0, e2) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (113), (158), (164),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (216), (219), (223), (225),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (233), (235), (239), (240), (243),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (7008), (7010), (7064),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7065), (7078), (7079), (7083), (7084), (7466),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474), (7488), (7495), (7496), (7506), (7512),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7716), (7721), (function-axioms) are inconsistent
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1126.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7722) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7722) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7723) all_58_14 = e2 & op(e0, e1) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7723) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7724) all_58_14 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (163),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (223), (224), (227), (229),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (237), (239), (244), (246), (7010), (7054),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7083), (7084), (7466),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7474), (7495), (7496), (7506), (7512), (7521),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7522), (7525), (7694), (7724), (function-axioms)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1124.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7725) all_58_15 = e2 & op(e0, e0) = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7725) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7726) all_58_15 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7064), (7726) are inconsistent by sub-proof
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7727) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7727) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7728) op(e0, e3) = all_56_7
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7729) op(e0, all_56_7) = e0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7507), (7728), (7729), (function-axioms) are
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2070.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7730) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7730) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7731) ~ (all_30_1 = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7732) op(e2, e1) = all_30_1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7496), (7731), (7732), (function-axioms) are
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7733) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7733) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7734) all_58_8 = e3 & op(e1, e1) = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (7734), (function-axioms) are
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7735) all_58_14 = e3 & op(e0, e1) = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7490), (7735), (function-axioms) are
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7736) ~ (all_54_12 = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7737) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (7736) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (7738) ~ (all_52_3 = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7739) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (159), (7466), (7738), (7739),
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1123.
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7740) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7740) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7741) all_58_14 = e3 & op(e0, e1) = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7741) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7742) all_58_14 = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7743) op(e0, e1) = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (7743) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7744) all_52_11 = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (7744) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7745) ~ (all_52_9 = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7046) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7746) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7746) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747) ~ (all_20_0 = e2)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7748) op(e0, e1) = all_20_1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7749) op(all_20_1, e0) = all_20_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7092) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7750) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7750) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7751) ~ (all_34_0 = e3)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7752) op(e0, e1) = all_34_1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7753) op(all_34_1, e0) = all_34_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7743), (7752) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7754) all_34_1 = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7748), (7752)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7755) all_34_1 = all_20_1
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7754), (7755) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7756) all_20_1 = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7756) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7757) all_20_1 = e3
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7753), (7754) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7758) op(e3, e0) = all_34_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7749), (7757) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7759) op(e3, e0) = all_20_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (7759)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7760) all_52_12 = all_20_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e0, e3, simplifying with (168), (7758)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7761) all_52_12 = all_34_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7760), (7761) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7762) all_34_0 = all_20_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (7760) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7763) all_54_3 = all_20_0
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7760) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7764) ~ (all_52_8 = all_20_0)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7760) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7765) ~ (all_52_13 = all_20_0)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7765) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766) ~ (all_52_13 = all_20_0)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7760) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7767) ~ (all_52_14 = all_20_0)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7767) implies:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7768) ~ (all_52_14 = all_20_0)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7009), (7760) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7769) ~ (all_20_0 = e1)
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7459) gives:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7770) all_54_3 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7763), (7770) imply:
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7771) all_20_0 = e2
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7747), (7771) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7772) $false
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7772) is inconsistent.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7773) ~ (all_54_3 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7774) all_54_3 = e1 | all_54_3 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7774) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7775) all_54_3 = e1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7763), (7775) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7776) all_20_0 = e1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7769), (7776) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7777) $false
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7777) is inconsistent.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7778) all_54_3 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7763), (7778) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7779) all_20_0 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7764), (7779) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7780) ~ (all_52_8 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7768), (7779) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7781) ~ (all_52_14 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7478) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7782) all_54_2 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (7782) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7783) all_52_8 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7783) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7784) ~ (all_52_9 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7784) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7785) ~ (all_52_9 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7468), (7783) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7786) ~ (e3 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (7783) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7787) op(e3, e1) = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7788) all_54_6 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7745), (7788) are inconsistent by
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7789) ~ (all_54_6 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7790) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7791) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7791) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7792) op(e3, e1) = all_10_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7793) op(all_10_1, e3) = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7794) ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7794) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7795) ~ (all_38_0 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7796) op(e3, e1) = all_38_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7797) op(all_38_1, e3) = all_38_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7790) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7798) all_54_6 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7785), (7798) are inconsistent by
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7799) ~ (all_54_6 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7800) all_54_6 = e1 | all_54_6 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7800) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7801) all_54_6 = e1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7074), (7801) are inconsistent by
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7802) all_54_6 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7802) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7803) all_52_9 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7803) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7804) all_52_9 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7804) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7805) ~ (all_52_1 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7785), (7804) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7806) ~ (e2 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7074), (7804) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7807) ~ (e1 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (7792), (7796)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7808) all_38_1 = all_10_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7787), (7796) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7809) all_38_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7808), (7809) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7810) all_10_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7810) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7811) all_10_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7797), (7809) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7812) op(e2, e3) = all_38_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7793), (7811) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7813) op(e2, e3) = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e2, simplifying with (167), (7813)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7814) all_52_1 = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e3, e2, simplifying with (167), (7812)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7815) all_52_1 = all_38_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7814), (7815) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7816) all_38_0 = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7814) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7817) all_54_4 = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7814) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7818) ~ (all_52_13 = all_10_0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7818) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7819) ~ (all_52_13 = all_10_0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7004), (7814) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7820) ~ (all_10_0 = e1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7805), (7814) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7821) ~ (all_10_0 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7795), (7816) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7822) ~ (all_10_0 = e2)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7823) all_54_4 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7817), (7823) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7824) all_10_0 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7819), (7824) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7825) ~ (all_52_13 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (221), (222), (7005), (7050),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7459), (7460), (7743),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747), (7748), (7751), (7752), (7753), (7763),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766), (7769), (7781), (7825), (function-axioms)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1119.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7826) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (7004), (7805), (7817), (7822), (7826) are
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1118.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7827) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7827) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7828) ~ (all_38_1 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7829) op(e3, e1) = all_38_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7790) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7830) all_54_6 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7785), (7830) are inconsistent by
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7831) all_54_6 = e1 | all_54_6 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7831) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7832) all_54_6 = e1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7074), (7832) are inconsistent by
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7833) all_54_6 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7833) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7834) all_52_9 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7834) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7835) all_52_9 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7835) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7836) ~ (all_52_1 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7835) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7837) ~ (all_52_13 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7837) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7838) ~ (all_52_13 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7745), (7835) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7839) ~ (e3 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7074), (7835) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7840) ~ (e1 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (7835) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7841) op(e2, e1) = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7089) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7842) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7842) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7843) ~ (all_30_0 = e0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844) op(e2, e1) = all_30_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7845) op(all_30_1, e2) = all_30_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (128), (140), (158), (160), (162),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (216), (218), (256), (257), (267), (7006),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7051), (7054), (7064), (7065), (7069),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073), (7086), (7089), (7466), (7475), (7481),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484), (7737), (7742), (7743), (7841), (7843),
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7844), (7845), (function-axioms) are inconsistent
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1117.
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7846) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7846) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7847) ~ (all_30_1 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7848) op(e2, e1) = all_30_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7849) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7849) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7850) op(e2, e1) = all_22_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7848), (7850)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7851) all_30_1 = all_22_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7841), (7848) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7852) all_30_1 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (7792), (7829)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7853) all_38_1 = all_10_1
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7787), (7829) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7854) all_38_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7853), (7854) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7855) all_10_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7855) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7856) all_10_1 = e2
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7851), (7852) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7857) all_22_1 = e0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7793), (7856) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7858) op(e2, e3) = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e2, simplifying with (167), (7858)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7859) all_52_1 = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7859) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860) all_54_4 = all_10_0
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7859) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7861) ~ (all_52_13 = all_10_0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7861) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7862) ~ (all_52_13 = all_10_0)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7863) all_54_7 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7863) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7864) all_52_13 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7864) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7865) all_52_13 = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7865) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7866) ~ (all_52_14 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7866) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7867) ~ (all_52_14 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7862), (7865) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7868) ~ (all_10_0 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7868) implies:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7869) ~ (all_10_0 = e3)
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (7865) imply:
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7870) op(e2, e0) = e3
% 233.79/43.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (126), (160),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (169), (193), (200), (214), (226),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (258), (267), (279), (391), (7003),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7010), (7054), (7065), (7079), (7086),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464), (7468), (7481), (7781), (7836), (7841),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7860), (7867), (7869), (7870), (function-axioms)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1115.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7871) ~ (all_54_7 = e3)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (7871) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7872) ~ (all_52_13 = e3)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (221), (222), (7005), (7050),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7459), (7460), (7743),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747), (7748), (7751), (7752), (7753), (7763),
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7766), (7769), (7781), (7872), (function-axioms)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1119.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7873) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7873) implies:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7874) ~ (all_22_1 = e0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7875) op(e2, e1) = all_22_1
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7089), (7841), (7874), (7875), (function-axioms)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7876) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7095), (7787), (7876), (function-axioms) are
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1113.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7877) all_54_2 = e1 | all_54_2 = e0
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (7780), (7877) are inconsistent by
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7878) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7878) implies:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7879) op(e0, e1) = all_34_1
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (7743), (7879) gives:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7880) all_34_1 = e3
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (7748), (7879)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7881) all_34_1 = all_20_1
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7880), (7881) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7882) all_20_1 = e3
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7882) implies:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7883) all_20_1 = e3
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7749), (7883) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7884) op(e3, e0) = all_20_0
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (7884)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7885) all_52_12 = all_20_0
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (7885) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7886) all_54_3 = all_20_0
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (7885) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7887) ~ (all_52_8 = all_20_0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (7885) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7888) ~ (all_52_13 = all_20_0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7888) implies:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7889) ~ (all_52_13 = all_20_0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (7885) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7890) ~ (all_52_14 = all_20_0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7890) implies:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7891) ~ (all_52_14 = all_20_0)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7009), (7885) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7892) ~ (all_20_0 = e1)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7459) gives:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7893) all_54_3 = e2
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7886), (7893) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7894) all_20_0 = e2
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7747), (7894) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7895) $false
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7895) is inconsistent.
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7896) ~ (all_54_3 = e2)
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7897) all_54_3 = e1 | all_54_3 = e0
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7897) gives:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7898) all_54_3 = e1
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7886), (7898) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7899) all_20_0 = e1
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7892), (7899) imply:
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7900) $false
% 233.79/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (7900) is inconsistent.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7901) all_54_3 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7886), (7901) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7902) all_20_0 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7887), (7902) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7903) ~ (all_52_8 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7891), (7902) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7904) ~ (all_52_14 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7478) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7905) all_54_2 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (7905) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7906) all_52_8 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (7906) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7907) ~ (all_52_9 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7907) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7908) ~ (all_52_9 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7468), (7906) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7909) ~ (e3 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (7906) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7910) op(e3, e1) = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7911) all_54_6 = e3
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7745), (7911) are inconsistent by
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7912) ~ (all_54_6 = e3)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7913) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7001) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7914) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7914) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7915) op(e3, e1) = all_10_1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7916) op(all_10_1, e3) = all_10_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7095) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7917) ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 &
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7917) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7918) ~ (all_38_0 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7919) op(e3, e1) = all_38_1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7920) op(all_38_1, e3) = all_38_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7913) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7921) all_54_6 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7908), (7921) are inconsistent by
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7922) ~ (all_54_6 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7923) all_54_6 = e1 | all_54_6 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7923) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7924) all_54_6 = e1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7074), (7924) are inconsistent by
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7925) all_54_6 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7925) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7926) all_52_9 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7926) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7927) all_52_9 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7927) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7928) ~ (all_52_1 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7908), (7927) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7929) ~ (e2 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7074), (7927) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7930) ~ (e1 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (7915), (7919)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7931) all_38_1 = all_10_1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7910), (7919) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7932) all_38_1 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7931), (7932) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7933) all_10_1 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7933) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7934) all_10_1 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7920), (7932) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7935) op(e2, e3) = all_38_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7916), (7934) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7936) op(e2, e3) = all_10_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e2, simplifying with (167), (7936)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7937) all_52_1 = all_10_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_0, e3, e2, simplifying with (167), (7935)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7938) all_52_1 = all_38_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7937), (7938) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7939) all_38_0 = all_10_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7937) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7940) all_54_4 = all_10_0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7937) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7941) ~ (all_52_13 = all_10_0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7941) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7942) ~ (all_52_13 = all_10_0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7004), (7937) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7943) ~ (all_10_0 = e1)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7928), (7937) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7944) ~ (all_10_0 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7918), (7939) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7945) ~ (all_10_0 = e2)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7946) all_54_4 = e3
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7940), (7946) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7947) all_10_0 = e3
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7942), (7947) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7948) ~ (all_52_13 = e3)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (221), (222), (7005), (7050),
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7459), (7460), (7743),
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747), (7886), (7889), (7892), (7904), (7948),
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1112.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7949) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (7004), (7928), (7940), (7945), (7949) are
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1118.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7950) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7950) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7951) ~ (all_38_1 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7952) op(e3, e1) = all_38_1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7913) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7953) all_54_6 = e2
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7908), (7953) are inconsistent by
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7954) all_54_6 = e1 | all_54_6 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7954) gives:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7955) all_54_6 = e1
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (7074), (7955) are inconsistent by
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2246.
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7956) all_54_6 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (7956) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7957) all_52_9 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7957) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7958) all_52_9 = e0
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (7958) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7959) ~ (all_52_1 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (7958) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7960) ~ (all_52_13 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7960) implies:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7961) ~ (all_52_13 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7745), (7958) imply:
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7962) ~ (e3 = e0)
% 233.94/43.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7074), (7958) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7963) ~ (e1 = e0)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (7958) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7964) op(e2, e1) = e0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7089) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7965) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7965) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7966) ~ (all_30_0 = e0)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967) op(e2, e1) = all_30_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7968) op(all_30_1, e2) = all_30_0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (128), (140), (158), (160), (162),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (216), (218), (256), (257), (267), (7006),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (7051), (7054), (7064), (7065), (7069),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7073), (7086), (7089), (7466), (7475), (7481),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7484), (7737), (7742), (7743), (7964), (7966),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7967), (7968), (function-axioms) are inconsistent
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1117.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7969) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7969) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7970) ~ (all_30_1 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7971) op(e2, e1) = all_30_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7069) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7972) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7972) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7973) op(e2, e1) = all_22_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (7971), (7973)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7974) all_30_1 = all_22_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (7964), (7971) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7975) all_30_1 = e0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (7915), (7952)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7976) all_38_1 = all_10_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_38_1,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (7910), (7952) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7977) all_38_1 = e2
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7976), (7977) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7978) all_10_1 = e2
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7978) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7979) all_10_1 = e2
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7974), (7975) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7980) all_22_1 = e0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7916), (7979) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7981) op(e2, e3) = all_10_0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e2, simplifying with (167), (7981)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7982) all_52_1 = all_10_0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (7982) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983) all_54_4 = all_10_0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (7982) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7984) ~ (all_52_13 = all_10_0)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7984) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7985) ~ (all_52_13 = all_10_0)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7986) all_54_7 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (7986) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7987) all_52_13 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7987) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7988) all_52_13 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (7988) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7989) ~ (all_52_14 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7989) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7990) ~ (all_52_14 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7985), (7988) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7991) ~ (all_10_0 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (7991) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7992) ~ (all_10_0 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (7988) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7993) op(e2, e0) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (126), (160),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (167), (169), (193), (200), (214), (226),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (239), (258), (267), (279), (391), (7003),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7004), (7010), (7054), (7065), (7079), (7086),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7464), (7468), (7481), (7904), (7959), (7964),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7983), (7990), (7992), (7993), (function-axioms)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1115.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7994) ~ (all_54_7 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (7994) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7995) ~ (all_52_13 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (163), (164),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (221), (222), (7005), (7050),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (7065), (7079), (7459), (7460), (7743),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7747), (7886), (7889), (7892), (7904), (7995),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1112.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7996) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (7996) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7997) ~ (all_22_1 = e0)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7998) op(e2, e1) = all_22_1
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7089), (7964), (7997), (7998), (function-axioms)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7999) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7095), (7910), (7999), (function-axioms) are
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1113.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8000) all_54_2 = e1 | all_54_2 = e0
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (7903), (8000) are inconsistent by
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1336.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8001) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7092), (7743), (8001), (function-axioms) are
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1805.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8002) all_58_15 = e3 & op(e0, e0) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8002) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8003) all_58_15 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7064), (8003) are inconsistent by sub-proof
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2249.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | (8004) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (7460), (7468), (8004),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | #1515.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | (8005) ~ (all_54_1 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (8005) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | (8006) ~ (all_52_4 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | (8007) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (8006), (8007),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | #1401.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | (8008) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8008) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8009) all_58_4 = e3 & op(e3, e1) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8009) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8010) all_58_4 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8011) op(e3, e1) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (8011) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8012) all_52_8 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (8012) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8013) ~ (all_52_9 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8013) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8014) ~ (all_52_9 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8012) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | (8015) ~ (all_52_12 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | (8016) all_54_11 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8016) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | (8017) all_52_14 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8017) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | (8018) all_52_14 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8018) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | (8019) ~ (all_52_6 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8018) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | (8020) ~ (all_52_13 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | (8021) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8021) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (8022) all_58_2 = e3 & op(e2, e3) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8022) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (8023) op(e2, e3) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8024) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8024) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8025) all_58_1 = e3 & op(e3, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8025) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8026) op(e3, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8006), (8026), (function-axioms) are
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8027) all_58_3 = e3 & op(e2, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8027) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8028) all_58_3 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (7078), (8006), (8010), (8028),
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1111.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8029) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8029) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8030) all_58_7 = e3 & op(e1, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8030) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8031) op(e1, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8019), (8031), (function-axioms) are
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8032) all_58_13 = e3 & op(e0, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8032) implies:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033) op(e0, e2) = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e3,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (8033) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8034) all_52_7 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8023) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8035) all_52_1 = e3
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8034) imply:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8036) ~ (all_52_3 = e3)
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8037) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8037) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8038) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8038) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8039) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8039) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8040) op(e3, e2) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8006), (8040), (function-axioms) are
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8041) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8041) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8042) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8042) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8043) op(e2, e3) = e2
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8023), (8043), (function-axioms) are
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8044) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8044) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8045) ~ (all_56_31 = e1)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7050), (8045) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8046) $false
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8046) is inconsistent.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8047) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8047) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8048) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8048) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8049) op(e3, e1) = e1
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8049), (function-axioms) are
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8050) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8050) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8051) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8051) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8052) op(e0, e3) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8036), (8052), (function-axioms) are
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8053) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8053) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8054) op(e0, e3) = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8055) op(e3, e0) = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8054) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8056) all_52_3 = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (8055) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8057) all_52_12 = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (8056) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8058) ~ (all_52_11 = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8058) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8059) ~ (all_52_11 = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7460), (8057) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8060) ~ (e3 = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7009), (8057) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8061) ~ (e1 = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8062) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7069), (7089), (8011), (8033), (8062),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8063) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (157), (7084), (8059), (8063),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1141.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8064) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (160), (165), (7050), (7054), (7074),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8033), (8064), (function-axioms) are inconsistent
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1107.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8065) all_58_3 = e3 & op(e2, e2) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8065) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8066) all_58_3 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (7078), (8006), (8010), (8066),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | #1111.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8067) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8014), (8020), (8067),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | #1649.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | (8068) ~ (all_54_11 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (8068) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | (8069) ~ (all_52_14 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | (8070) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8070) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8071) all_58_9 = e3 & op(e3, e0) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8071) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8072) op(e3, e0) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7460), (8072), (function-axioms) are
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8073) all_58_10 = e3 & op(e2, e0) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8073) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8074) all_58_10 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8075) op(e2, e0) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (8075) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8076) all_52_13 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8076) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8077) ~ (all_52_1 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8076) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (8078) ~ (all_52_14 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8079) all_54_12 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (8079) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8080) all_52_3 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8080) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8081) all_52_3 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (8081) imply:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8082) ~ (all_52_7 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8082) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8083) ~ (all_52_7 = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8084) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8084) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8085) all_58_6 = e3 & op(e1, e3) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8085) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8086) all_58_6 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8087) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (170), (231),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (7004), (8006), (8074), (8087),
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1098.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8088) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8088) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8089) all_58_7 = e3 & op(e1, e2) = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8089) implies:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8090) all_58_7 = e3
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8091) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8091) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8092) all_58_6 = e0 & op(e1, e3) = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8086), (8092) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2213.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8093) all_58_7 = e0 & op(e1, e2) = e0
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8090), (8093) are inconsistent by sub-proof
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2034.
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8094) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8094) gives:
% 233.94/43.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8095) all_58_8 = e0 & op(e1, e1) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8095) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8096) op(e1, e1) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7084), (8096), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8097) all_58_11 = e0 & op(e1, e0) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8097) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8098) all_58_11 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8099) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8099) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8100) all_58_9 = e2 & op(e3, e0) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8100) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8101) all_58_9 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102) op(e3, e0) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8103) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8103) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8104) all_58_0 = e0 & op(e3, e3) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8104) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8105) op(e3, e3) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7010), (8105), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8106) all_58_1 = e0 & op(e3, e2) = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8106) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8107) all_58_1 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8108) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8108) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8109) all_58_6 = e2 & op(e1, e3) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8086), (8109) are inconsistent by sub-proof
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8110) all_58_7 = e2 & op(e1, e2) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8090), (8110) are inconsistent by sub-proof
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1416.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8111) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8111) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8112) all_58_8 = e2 & op(e1, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8112) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8113) all_58_8 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7083), (8113) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8114) e2 = e1
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8101), (8114) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115) all_58_9 = e1
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (8010), (8107),
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8115), (function-axioms) are inconsistent by
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1338.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8116) all_58_11 = e2 & op(e1, e0) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8116) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8117) all_58_11 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8098), (8117) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8118) e2 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8118) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8119) e2 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8101), (8119) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120) all_58_9 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (8010), (8107),
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8120), (function-axioms) are inconsistent by
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1097.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8121) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (170), (246), (7010), (8006),
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8102), (8121), (function-axioms) are inconsistent
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1096.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8122) all_58_10 = e2 & op(e2, e0) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8122) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8123) op(e2, e0) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8075), (8123), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8124) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7064), (8098), (8124) are inconsistent
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1178.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8125) all_58_13 = e3 & op(e0, e2) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8083), (8125), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8126) all_58_7 = e3 & op(e1, e2) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8126) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8127) op(e1, e2) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8128) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8128) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8129) all_58_12 = e3 & op(e0, e3) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8129) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8130) all_58_12 = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8131) op(e0, e3) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8132) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8132) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8133) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8133) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8134) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8134) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8135) op(e2, e3) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8077), (8135), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8136) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8136) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8137) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8137) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8138) all_56_9 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8139) op(e2, e3) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8140) op(e3, e2) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e3,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8127) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8141) all_52_6 = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e2,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8139) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8142) all_52_1 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8140) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8143) all_52_4 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (8142) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8144) ~ (all_52_9 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8144) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8145) ~ (all_52_9 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8143) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8146) ~ (all_52_7 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8146) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8147) ~ (all_52_7 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8006), (8143) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8148) ~ (e3 = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8149) all_54_13 = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (8083), (8149) are inconsistent by
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8150) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8151) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8151) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8152) all_58_4 = e2 & op(e3, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8010), (8152) are inconsistent by sub-proof
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1476.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8153) all_58_5 = e2 & op(e2, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8153) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8154) op(e2, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8145), (8154), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8155) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8155) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8156) all_58_8 = e2 & op(e1, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8156) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8157) all_58_8 = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7083), (8157) are inconsistent by sub-proof
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8158) all_58_14 = e2 & op(e0, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8158) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8159) op(e0, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8160) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8160) gives:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8161) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8161) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8162) op(e3, all_56_9) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8138), (8162) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8163) op(e3, e2) = e3
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8006), (8163), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8164) all_56_10 = e2 & op(e2, all_56_11) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8164) implies:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8165) op(e2, all_56_11) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7073), (8165) imply:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8166) op(e2, e1) = e2
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8145), (8166), (function-axioms) are
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8167) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8167) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8168) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8168) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8169) op(e1, e2) = all_56_13
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170) op(e1, all_56_13) = e1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7046) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8171) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8171) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8172) op(e0, e1) = all_20_1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7005), (7092), (8127), (8159), (8169),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170), (8172), (function-axioms) are inconsistent
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1095.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8173) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8173) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8174) op(e0, e1) = all_20_1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (7005), (7092), (8127), (8159), (8169),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8170), (8174), (function-axioms) are inconsistent
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1095.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (256), (7051), (7065), (8147), (8150),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8175), (function-axioms) are inconsistent by
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1932.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8176) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8176) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8177) ~ (all_56_31 = e1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7050), (8177) imply:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8178) $false
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8178) is inconsistent.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8179) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8179) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8180) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8180) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8181) op(e3, e1) = e1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8181), (function-axioms) are
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8182) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8182) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8183) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8183) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8184) op(e3, e0) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7460), (8184), (function-axioms) are
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8185) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8185) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8186) ~ (all_56_31 = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8187) op(e0, e3) = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (8131), (8187) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8188) e3 = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8130), (8188) imply:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8189) all_58_12 = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (158), (8083), (8128), (8189),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1918.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8190) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8190) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8191) all_58_14 = e3 & op(e0, e1) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8191) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8192) all_58_14 = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8193) op(e0, e1) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (227),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (7016), (8010), (8192), (8193),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8194) all_58_15 = e3 & op(e0, e0) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8194) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8195) all_58_15 = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (7064), (8006), (8010), (8195),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1093.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8196) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8196) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8197) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (7050), (7074), (8075), (8197),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1092.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8198) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8198) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8199) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8199) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8200) ~ (all_56_31 = e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8201) op(e0, e2) = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8202) op(e2, e0) = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8075), (8202) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8203) e3 = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8130), (8203) imply:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8204) all_58_12 = e0
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (218), (219),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7064), (8083), (8201), (8204), (function-axioms)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1914.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8205) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7050), (7054), (8205), (function-axioms)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2269.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8206) all_58_13 = e3 & op(e0, e2) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8083), (8206), (function-axioms) are
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8207) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (170),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (240), (244), (246), (7010),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016), (7064), (8006), (8010), (8207),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1090.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8208) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (8069), (8208),
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1529.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8209) ~ (all_54_12 = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (257), (8209) imply:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8210) ~ (all_52_3 = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8211) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8211) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8212) all_58_12 = e3 & op(e0, e3) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8212) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8213) op(e0, e3) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8210), (8213), (function-axioms) are
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8214) all_58_13 = e3 & op(e0, e2) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8214) implies:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8215) all_58_13 = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8216) op(e0, e2) = e3
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8217) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8217) gives:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8218) all_58_4 = e2 & op(e3, e1) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8218) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8219) all_58_4 = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8010), (8219) are inconsistent by sub-proof
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1902.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8220) all_58_5 = e2 & op(e2, e1) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8220) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8221) op(e2, e1) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8222) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7069), (7089), (8011), (8216), (8222),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8223) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8223) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8224) all_58_8 = e0 & op(e1, e1) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8224) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8225) op(e1, e1) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7084), (8225), (function-axioms) are
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8226) all_58_14 = e0 & op(e0, e1) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8226) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8227) all_58_14 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8228) op(e0, e1) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8229) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8229) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8230) all_58_12 = e2 & op(e0, e3) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8230) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8231) all_58_12 = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8232) op(e0, e3) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8233) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8233) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8234) all_58_2 = e0 & op(e2, e3) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8234) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8235) all_58_2 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8236) op(e2, e3) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8237) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8237) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8238) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8238) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8239) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8239) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8240) op(e2, e3) = e3
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8077), (8240), (function-axioms) are
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8241) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8241) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8242) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8242) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8243) ~ (all_56_31 = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8244) op(e2, e3) = e2
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e3,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8236), (8244) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8245) e2 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8245) imply:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8246) all_58_12 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (167), (243), (245),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8077), (8235), (8246), (function-axioms)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1149.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8247) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8247) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8248) ~ (all_56_31 = e1)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7050), (8248) imply:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8249) $false
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8249) is inconsistent.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8250) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8250) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8251) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8251) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8252) op(e3, e1) = e1
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8252), (function-axioms) are
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8253) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8253) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8254) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8254) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8255) op(e0, e3) = e3
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (8210), (8255), (function-axioms) are
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8256) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8256) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8257) ~ (all_56_31 = e3)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8258) op(e0, e3) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e3,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (8232), (8258) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8259) e2 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8231), (8259) imply:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8260) all_58_12 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (167), (243), (245),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8077), (8235), (8260), (function-axioms)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1149.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8261) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8261) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8262) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (7050), (7074), (8075), (8262),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1092.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8263) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8263) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8264) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8264) implies:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8265) ~ (all_56_31 = e2)
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8266) op(e2, e0) = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e0,
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (8075), (8266) gives:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8267) e3 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8010), (8267) imply:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268) all_58_4 = e0
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (228),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (391), (7008), (8227), (8228),
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8268), (function-axioms) are inconsistent by
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8269) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (7050), (7054), (8269), (function-axioms)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2269.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8270) all_58_3 = e0 & op(e2, e2) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7078), (8270) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1180.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8271) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8271) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8272) all_58_5 = e0 & op(e2, e1) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8272) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8273) op(e2, e1) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8221), (8273), (function-axioms) are
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8274) all_58_10 = e0 & op(e2, e0) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8274) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8275) all_58_10 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8074), (8275) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8276) e3 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8276) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8277) e3 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8010), (8277) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278) all_58_4 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (228),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (391), (7008), (8227), (8228),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8278), (function-axioms) are inconsistent by
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8279) all_58_13 = e2 & op(e0, e2) = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8279) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8280) all_58_13 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8215), (8280) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8281) e3 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (8281) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8282) $false
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8282) is inconsistent.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8283) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8283) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8284) all_58_14 = e2 & op(e0, e1) = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8284) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285) all_58_14 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (227), (7084), (8010), (8221),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8285), (function-axioms) are inconsistent by
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1285.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8286) all_58_15 = e2 & op(e0, e0) = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8286) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8287) all_58_15 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7064), (8287) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8288) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8288) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8289) all_58_8 = e2 & op(e1, e1) = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8289) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8290) all_58_8 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7083), (8290) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1802.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8291) all_58_14 = e2 & op(e0, e1) = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8291) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8292) all_58_14 = e2
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8293) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (7069), (7089), (8011), (8216), (8293),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1109.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8294) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7084), (8292), (8294),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1127.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8295) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (170),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (240), (244), (246), (7010),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7016), (7064), (8006), (8010), (8295),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1090.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | (8296) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8296) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (8297) all_58_11 = e3 & op(e1, e0) = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8297) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (8298) op(e1, e0) = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8069), (8298), (function-axioms) are
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2149.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (8299) all_58_15 = e3 & op(e0, e0) = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8299) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (8300) all_58_15 = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (7064), (8006), (8010), (8300),
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | | #1093.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | (8301) all_58_9 = e3 & op(e3, e0) = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8301) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | (8302) op(e3, e0) = e3
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7460), (8302), (function-axioms) are
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | (8303) all_58_14 = e1 & op(e0, e1) = e1
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | ALPHA: (8303) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8304) op(e0, e1) = e1
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | REF_CLOSE: (157), (7052), (8304), (function-axioms) are
% 233.94/43.66 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | (8305) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 233.94/43.66 | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | REF_CLOSE: (164), (165), (7053), (7074), (8305),
% 233.94/43.66 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | | | #2234.
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | End of split
% 233.94/43.66 | | | | | | | | |
% 233.94/43.66 | | | | | | | | End of split
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | (8306) all_18_2 = e0
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | COMBINE_EQS: (339), (8306) imply:
% 233.94/43.66 | | | | | | | | (8307) all_6_2 = e0
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | COMBINE_EQS: (266), (8307) imply:
% 233.94/43.66 | | | | | | | | (8308) all_56_21 = e0
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (378), (8307) imply:
% 233.94/43.66 | | | | | | | | (8309) ~ (all_52_6 = e0)
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (380), (8307) imply:
% 233.94/43.66 | | | | | | | | (8310) ~ (all_52_8 = e0)
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (381), (8307) imply:
% 233.94/43.66 | | | | | | | | (8311) ~ (all_52_9 = e0)
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (385), (8307) imply:
% 233.94/43.66 | | | | | | | | (8312) ~ (all_52_14 = e0)
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (391), (8307) imply:
% 233.94/43.66 | | | | | | | | (8313) ~ (e3 = e0)
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | REDUCE: (39), (8307) imply:
% 233.94/43.66 | | | | | | | | (8314) op(e1, e1) = e0
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | BETA: splitting (61) gives:
% 233.94/43.66 | | | | | | | |
% 233.94/43.66 | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | |
% 233.94/43.66 | | | | | | | | | (8315) ~ (all_20_2 = e1)
% 233.94/43.66 | | | | | | | | |
% 233.94/43.66 | | | | | | | | | REDUCE: (341), (8315) imply:
% 233.94/43.66 | | | | | | | | | (8316) ~ (all_4_2 = e1)
% 233.94/43.66 | | | | | | | | |
% 233.94/43.66 | | | | | | | | | BETA: splitting (189) gives:
% 233.94/43.66 | | | | | | | | |
% 233.94/43.66 | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | (8317) all_54_15 = e3
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | REF_CLOSE: (299), (7012), (8317) are inconsistent by
% 233.94/43.66 | | | | | | | | | | sub-proof #2340.
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | (8318) ~ (all_54_15 = e3)
% 233.94/43.66 | | | | | | | | | | (8319) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | BETA: splitting (8319) gives:
% 233.94/43.66 | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | (8320) all_54_15 = e2
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | REF_CLOSE: (299), (390), (8320) are inconsistent by sub-proof
% 233.94/43.66 | | | | | | | | | | | #2339.
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | (8321) ~ (all_54_15 = e2)
% 233.94/43.66 | | | | | | | | | | | (8322) all_54_15 = e1 | all_54_15 = e0
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | BETA: splitting (8322) gives:
% 233.94/43.66 | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | (8323) all_54_15 = e1
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | REF_CLOSE: (299), (8316), (8323) are inconsistent by
% 233.94/43.66 | | | | | | | | | | | | sub-proof #2338.
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | (8324) all_54_15 = e0
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | COMBINE_EQS: (299), (8324) imply:
% 233.94/43.66 | | | | | | | | | | | | (8325) all_4_2 = e0
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | SIMP: (8325) implies:
% 233.94/43.66 | | | | | | | | | | | | (8326) all_4_2 = e0
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | COMBINE_EQS: (254), (8326) imply:
% 233.94/43.66 | | | | | | | | | | | | (8327) all_56_31 = e0
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | REDUCE: (388), (8326) imply:
% 233.94/43.66 | | | | | | | | | | | | (8328) ~ (all_52_13 = e0)
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | REDUCE: (390), (8326) imply:
% 233.94/43.66 | | | | | | | | | | | | (8329) ~ (e2 = e0)
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | REDUCE: (8316), (8326) imply:
% 233.94/43.66 | | | | | | | | | | | | (8330) ~ (e1 = e0)
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | REDUCE: (36), (8326) imply:
% 233.94/43.66 | | | | | | | | | | | | (8331) op(e0, e0) = e0
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | BETA: splitting (240) gives:
% 233.94/43.66 | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | (8332) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 233.94/43.66 | | | | | | | | | | | | | & op(e3, e2) = e0)
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | BETA: splitting (8332) gives:
% 233.94/43.66 | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | (8333) all_58_0 = e0 & op(e3, e3) = e0
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | ALPHA: (8333) implies:
% 233.94/43.66 | | | | | | | | | | | | | | (8334) op(e3, e3) = e0
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | REF_CLOSE: (4), (7010), (8334), (function-axioms) are
% 233.94/43.66 | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | Case 2:
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | (8335) all_58_1 = e0 & op(e3, e2) = e0
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | ALPHA: (8335) implies:
% 233.94/43.66 | | | | | | | | | | | | | | (8336) op(e3, e2) = e0
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 233.94/43.66 | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | (8337) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 233.94/43.66 | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | BETA: splitting (8337) gives:
% 233.94/43.66 | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | (8338) all_58_2 = e0 & op(e2, e3) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | ALPHA: (8338) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8339) op(e2, e3) = e0
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 233.94/43.66 | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (8339) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8340) all_52_1 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 233.94/43.66 | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (8336) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8341) all_52_4 = e0
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | REDUCE: (148), (8340) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8342) ~ (all_52_3 = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | SIMP: (8342) implies:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8343) ~ (all_52_3 = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | REDUCE: (145), (8340) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8344) ~ (all_52_13 = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | REDUCE: (369), (8341) imply:
% 233.94/43.66 | | | | | | | | | | | | | | | | (8345) ~ (all_8_2 = e0)
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.94/43.66 | | | | | | | | | | | | | | | |
% 233.94/43.66 | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.66 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | (8346) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.67 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.67 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | BETA: splitting (8346) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (8347) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | BETA: splitting (8347) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8348) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e3
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | ALPHA: (8348) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8349) op(e3, e2) = e3
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8336), (8349), (function-axioms) are
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2099.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8350) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (8350) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8351) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | ALPHA: (8351) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8352) op(e3, e2) = e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e3, simplifying with (8336), (8352) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8353) e2 = e0
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (8353) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8354) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (8354) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8355) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | ALPHA: (8355) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8356) ~ (all_56_1 = e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (8356) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8357) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (8357) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (8358) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (7008), (8327), (8343), (8358),
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.67 | | | | | | | | | | | | | | | | | | #2307.
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | (8359) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.67 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 233.94/43.67 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 233.94/43.67 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 233.94/43.67 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | BETA: splitting (8359) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (8360) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | BETA: splitting (8360) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8361) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e2) = e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | ALPHA: (8361) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8362) ~ (all_56_1 = e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (8362) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8363) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | CLOSE: (8363) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | (8364) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (8364) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8365) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e2) = e1
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | ALPHA: (8365) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8366) ~ (all_56_11 = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8367) op(e2, e1) = e1
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (8366) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8368) ~ (all_8_2 = e2)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | (8369) all_54_5 = e3
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8369) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | (8370) all_8_2 = e3
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (8370) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | (8371) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | CLOSE: (8371) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | (8372) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8372) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | (8373) all_54_5 = e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8373) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | (8374) all_8_2 = e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8368), (8374) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | (8375) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8375) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | (8376) all_54_5 = e1 | all_54_5 = e0
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8376) gives:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8377) all_54_5 = e1
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8377) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8378) all_8_2 = e1
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (8378) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8379) ~ (all_52_9 = e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (8367), (8379), (function-axioms) are
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8380) all_54_5 = e0
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8380) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8381) all_8_2 = e0
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7014), (8381) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | (8382) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8382) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8383) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | e2) = e2
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | ALPHA: (8383) implies:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8384) ~ (all_56_31 = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | REDUCE: (8327), (8384) imply:
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | (8385) $false
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (8385) is inconsistent.
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (8386) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 233.94/43.67 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.67 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 233.94/43.67 | | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (8312), (8327), (8328), (8386),
% 233.94/43.67 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.67 | | | | | | | | | | | | | | | | | | #2321.
% 233.94/43.67 | | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | (8387) all_58_3 = e0 & op(e2, e2) = e0
% 233.94/43.67 | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | | REF_CLOSE: (42), (7014), (8387), (function-axioms) are
% 233.94/43.67 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 233.94/43.67 | | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | (8388) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 233.94/43.67 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 233.94/43.67 | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (8311), (8328), (8388),
% 233.94/43.67 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.67 | | | | | | | | | | | | | | | #1991.
% 233.94/43.67 | | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | (8389) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 233.94/43.67 | | | | | | | | | | | | | & op(e3, e0) = e0)
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | BETA: splitting (8389) gives:
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | (8390) all_58_4 = e0 & op(e3, e1) = e0
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | REF_CLOSE: (169), (8310), (8390), (function-axioms) are
% 233.94/43.67 | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | (8391) all_58_9 = e0 & op(e3, e0) = e0
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | ALPHA: (8391) implies:
% 233.94/43.67 | | | | | | | | | | | | | | (8392) all_58_9 = e0
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (159), (162),
% 233.94/43.67 | | | | | | | | | | | | | | (217), (218), (219), (235), (244), (246), (7006),
% 233.94/43.67 | | | | | | | | | | | | | | (7010), (7014), (8309), (8331), (8392),
% 233.94/43.67 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.67 | | | | | | | | | | | | | | #1087.
% 233.94/43.67 | | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | End of split
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | (8393) all_20_2 = e1
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | COMBINE_EQS: (341), (8393) imply:
% 233.94/43.67 | | | | | | | | | (8394) all_4_2 = e1
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | SIMP: (8394) implies:
% 233.94/43.67 | | | | | | | | | (8395) all_4_2 = e1
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | COMBINE_EQS: (254), (8395) imply:
% 233.94/43.67 | | | | | | | | | (8396) all_56_31 = e1
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | REDUCE: (386), (8395) imply:
% 233.94/43.67 | | | | | | | | | (8397) ~ (all_52_11 = e1)
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | REDUCE: (389), (8395) imply:
% 233.94/43.67 | | | | | | | | | (8398) ~ (all_52_14 = e1)
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | REDUCE: (7012), (8395) imply:
% 233.94/43.67 | | | | | | | | | (8399) ~ (e3 = e1)
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | BETA: splitting (224) gives:
% 233.94/43.67 | | | | | | | | |
% 233.94/43.67 | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | (8400) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 233.94/43.67 | | | | | | | | | | & op(e1, e2) = e1)
% 233.94/43.67 | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | BETA: splitting (8400) gives:
% 233.94/43.67 | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | (8401) all_58_6 = e1 & op(e1, e3) = e1
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | ALPHA: (8401) implies:
% 233.94/43.67 | | | | | | | | | | | (8402) op(e1, e3) = e1
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | REF_CLOSE: (163), (7005), (8402), (function-axioms) are
% 233.94/43.67 | | | | | | | | | | | inconsistent by sub-proof #1948.
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | Case 2:
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | (8403) all_58_7 = e1 & op(e1, e2) = e1
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | ALPHA: (8403) implies:
% 233.94/43.67 | | | | | | | | | | | (8404) op(e1, e2) = e1
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | BETA: splitting (228) gives:
% 233.94/43.67 | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | (8405) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 233.94/43.67 | | | | | | | | | | | | & op(e2, e1) = e1)
% 233.94/43.67 | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | BETA: splitting (8405) gives:
% 233.94/43.67 | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | Case 1:
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | (8406) all_58_4 = e1 & op(e3, e1) = e1
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.67 | | | | | | | | | | | | | ALPHA: (8406) implies:
% 233.94/43.67 | | | | | | | | | | | | | (8407) op(e3, e1) = e1
% 233.94/43.67 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8407), (function-axioms) are
% 233.94/43.68 | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | Case 2:
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | (8408) all_58_5 = e1 & op(e2, e1) = e1
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | ALPHA: (8408) implies:
% 233.94/43.68 | | | | | | | | | | | | | (8409) all_58_5 = e1
% 233.94/43.68 | | | | | | | | | | | | | (8410) op(e2, e1) = e1
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 233.94/43.68 | | | | | | | | | | | | | e2, e1, simplifying with (162), (8404) gives:
% 233.94/43.68 | | | | | | | | | | | | | (8411) all_52_6 = e1
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 233.94/43.68 | | | | | | | | | | | | | e1, e2, simplifying with (165), (8410) gives:
% 233.94/43.68 | | | | | | | | | | | | | (8412) all_52_9 = e1
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | REDUCE: (128), (8411) imply:
% 233.94/43.68 | | | | | | | | | | | | | (8413) ~ (all_52_7 = e1)
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | SIMP: (8413) implies:
% 233.94/43.68 | | | | | | | | | | | | | (8414) ~ (all_52_7 = e1)
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | REDUCE: (126), (8411) imply:
% 233.94/43.68 | | | | | | | | | | | | | (8415) ~ (all_52_14 = e1)
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | REDUCE: (375), (8412) imply:
% 233.94/43.68 | | | | | | | | | | | | | (8416) ~ (all_8_2 = e1)
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | SIMP: (8416) implies:
% 233.94/43.68 | | | | | | | | | | | | | (8417) ~ (all_8_2 = e1)
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | BETA: splitting (199) gives:
% 233.94/43.68 | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | (8418) all_54_5 = e3
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | REF_CLOSE: (275), (392), (8418) are inconsistent by sub-proof
% 233.94/43.68 | | | | | | | | | | | | | | #1907.
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | Case 2:
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | (8419) ~ (all_54_5 = e3)
% 233.94/43.68 | | | | | | | | | | | | | | (8420) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | BETA: splitting (8420) gives:
% 233.94/43.68 | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | (8421) all_54_5 = e2
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (8421) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8422) all_8_2 = e2
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | SIMP: (8422) implies:
% 233.94/43.68 | | | | | | | | | | | | | | | (8423) all_8_2 = e2
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (8423) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8424) all_56_11 = e2
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | REDUCE: (366), (8423) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8425) ~ (all_52_1 = e2)
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | REDUCE: (369), (8423) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8426) ~ (all_52_4 = e2)
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | REDUCE: (392), (8423) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8427) ~ (e3 = e2)
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | REDUCE: (42), (8423) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | (8428) op(e2, e2) = e2
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 233.94/43.68 | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | (8429) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.68 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.68 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.68 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.68 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.68 | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 233.94/43.68 | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 233.94/43.68 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 233.94/43.68 | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | BETA: splitting (8429) gives:
% 233.94/43.68 | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | (8430) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 233.94/43.68 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | | = e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (8396), (8424), (8425), (8430),
% 233.94/43.68 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 233.94/43.68 | | | | | | | | | | | | | | | | | #1831.
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | (8431) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 233.94/43.68 | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 233.94/43.68 | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | | = e0)
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | BETA: splitting (8431) gives:
% 233.94/43.68 | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | (8432) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 233.94/43.68 | | | | | | | | | | | | | | | | | | e3) = e1
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | ALPHA: (8432) implies:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | (8433) op(e3, e1) = e1
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8433), (function-axioms) are
% 233.94/43.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | (8434) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 233.94/43.68 | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 233.94/43.68 | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | BETA: splitting (8434) gives:
% 233.94/43.68 | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | Case 1:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8435) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | e3) = e3
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | ALPHA: (8435) implies:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8436) ~ (all_56_21 = e0)
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | REDUCE: (8308), (8436) imply:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8437) $false
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | CLOSE: (8437) is inconsistent.
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | Case 2:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8438) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | e3) = e0
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | ALPHA: (8438) implies:
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8439) op(e0, e3) = e0
% 233.94/43.68 | | | | | | | | | | | | | | | | | | | (8440) op(e3, e0) = e0
% 233.94/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (133), (135), (140), (158), (159), (162),
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (168), (170), (191), (203), (235), (256), (282),
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (7007), (8309), (8414), (8426), (8428), (8439),
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8440), (function-axioms) are inconsistent by
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | sub-proof #1962.
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | (8441) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.07/43.68 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.07/43.68 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.07/43.68 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.07/43.68 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.07/43.68 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.07/43.68 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.07/43.68 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.07/43.68 | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.07/43.68 | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.07/43.68 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.07/43.68 | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | BETA: splitting (8441) gives:
% 234.07/43.68 | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | (8442) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.07/43.68 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.07/43.68 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | | = e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | BETA: splitting (8442) gives:
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | (8443) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.07/43.68 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.07/43.68 | | | | | | | | | | | | | | | | | | e2) = e2
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | ALPHA: (8443) implies:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | (8444) ~ (all_56_31 = e1)
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | REDUCE: (8396), (8444) imply:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | (8445) $false
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | CLOSE: (8445) is inconsistent.
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | (8446) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.07/43.68 | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | BETA: splitting (8446) gives:
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8447) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | e2) = e1
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | ALPHA: (8447) implies:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8448) ~ (all_56_11 = e2)
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | REDUCE: (8424), (8448) imply:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8449) $false
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | CLOSE: (8449) is inconsistent.
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8450) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | ALPHA: (8450) implies:
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8451) op(e2, e0) = e2
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (231), (234),
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | (8409), (8410), (8428), (8451), (function-axioms)
% 234.07/43.68 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2119.
% 234.07/43.68 | | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | (8452) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.07/43.68 | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.07/43.68 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.07/43.68 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.07/43.68 | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.07/43.68 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.07/43.68 | | | | | | | | | | | | | | | | | = e0)
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8312), (8398), (8424), (8452),
% 234.07/43.68 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.68 | | | | | | | | | | | | | | | | | #1988.
% 234.07/43.68 | | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | (8453) all_54_5 = e1 | all_54_5 = e0
% 234.07/43.68 | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | | REF_CLOSE: (275), (7014), (8417), (8453) are inconsistent by
% 234.07/43.68 | | | | | | | | | | | | | | | sub-proof #2300.
% 234.07/43.68 | | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | (8454) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 234.07/43.68 | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 234.07/43.68 | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | BETA: splitting (8454) gives:
% 234.07/43.68 | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | Case 1:
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | (8455) all_58_8 = e1 & op(e1, e1) = e1
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | ALPHA: (8455) implies:
% 234.07/43.68 | | | | | | | | | | | | | (8456) op(e1, e1) = e1
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | REF_CLOSE: (4), (8314), (8456), (function-axioms) are
% 234.07/43.68 | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | (8457) all_58_14 = e1 & op(e0, e1) = e1
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | ALPHA: (8457) implies:
% 234.07/43.68 | | | | | | | | | | | | | (8458) op(e0, e1) = e1
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | | REF_CLOSE: (157), (8397), (8458), (function-axioms) are
% 234.07/43.68 | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 234.07/43.68 | | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | Case 2:
% 234.07/43.68 | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | (8459) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.07/43.68 | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.07/43.68 | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | | REF_CLOSE: (4), (160), (8314), (8398), (8459),
% 234.07/43.68 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.68 | | | | | | | | | | #1086.
% 234.07/43.68 | | | | | | | | | |
% 234.07/43.68 | | | | | | | | | End of split
% 234.07/43.68 | | | | | | | | |
% 234.07/43.68 | | | | | | | | End of split
% 234.07/43.68 | | | | | | | |
% 234.07/43.68 | | | | | | | End of split
% 234.07/43.68 | | | | | | |
% 234.07/43.68 | | | | | | Case 2:
% 234.07/43.68 | | | | | | |
% 234.07/43.68 | | | | | | | (8460) all_14_2 = e0
% 234.07/43.68 | | | | | | | (8461) ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 234.07/43.68 | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) & $i(all_14_1)) |
% 234.07/43.68 | | | | | | | ( ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 234.07/43.68 | | | | | | | $i(all_14_1))
% 234.07/43.68 | | | | | | |
% 234.07/43.68 | | | | | | | COMBINE_EQS: (344), (8460) imply:
% 234.07/43.68 | | | | | | | (8462) all_8_2 = e0
% 234.07/43.68 | | | | | | |
% 234.07/43.69 | | | | | | | SIMP: (8462) implies:
% 234.07/43.69 | | | | | | | (8463) all_8_2 = e0
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | COMBINE_EQS: (311), (8463) imply:
% 234.07/43.69 | | | | | | | (8464) all_48_2 = e0
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | COMBINE_EQS: (353), (8463) imply:
% 234.07/43.69 | | | | | | | (8465) all_56_11 = e0
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (366), (8463) imply:
% 234.07/43.69 | | | | | | | (8466) ~ (all_52_1 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (369), (8463) imply:
% 234.07/43.69 | | | | | | | (8467) ~ (all_52_4 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (371), (8463) imply:
% 234.07/43.69 | | | | | | | (8468) ~ (all_52_6 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (373), (8463) imply:
% 234.07/43.69 | | | | | | | (8469) ~ (all_52_7 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (375), (8463) imply:
% 234.07/43.69 | | | | | | | (8470) ~ (all_52_9 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (377), (8463) imply:
% 234.07/43.69 | | | | | | | (8471) ~ (all_52_13 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | REDUCE: (392), (8463) imply:
% 234.07/43.69 | | | | | | | (8472) ~ (e3 = e0)
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | BETA: splitting (231) gives:
% 234.07/43.69 | | | | | | |
% 234.07/43.69 | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | |
% 234.07/43.69 | | | | | | | | (8473) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0 &
% 234.07/43.69 | | | | | | | | op(e2, e2) = e0)
% 234.07/43.69 | | | | | | | |
% 234.07/43.69 | | | | | | | | BETA: splitting (8473) gives:
% 234.07/43.69 | | | | | | | |
% 234.07/43.69 | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | (8474) all_58_2 = e0 & op(e2, e3) = e0
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | REF_CLOSE: (167), (8466), (8474), (function-axioms) are
% 234.07/43.69 | | | | | | | | | inconsistent by sub-proof #1985.
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | (8475) all_58_3 = e0 & op(e2, e2) = e0
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | ALPHA: (8475) implies:
% 234.07/43.69 | | | | | | | | | (8476) all_58_3 = e0
% 234.07/43.69 | | | | | | | | | (8477) op(e2, e2) = e0
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | BETA: splitting (58) gives:
% 234.07/43.69 | | | | | | | | |
% 234.07/43.69 | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | (8478) ~ (all_18_2 = e0)
% 234.07/43.69 | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | REDUCE: (339), (8478) imply:
% 234.07/43.69 | | | | | | | | | | (8479) ~ (all_6_2 = e0)
% 234.07/43.69 | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | BETA: splitting (61) gives:
% 234.07/43.69 | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | (8480) ~ (all_20_2 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | REDUCE: (341), (8480) imply:
% 234.07/43.69 | | | | | | | | | | | (8481) ~ (all_4_2 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | BETA: splitting (189) gives:
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | (8482) all_54_15 = e3
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | REF_CLOSE: (299), (7012), (8482) are inconsistent by
% 234.07/43.69 | | | | | | | | | | | | sub-proof #2340.
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | (8483) ~ (all_54_15 = e3)
% 234.07/43.69 | | | | | | | | | | | | (8484) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | BETA: splitting (8484) gives:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | (8485) all_54_15 = e2
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | REF_CLOSE: (299), (390), (8485) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | #2339.
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | (8486) ~ (all_54_15 = e2)
% 234.07/43.69 | | | | | | | | | | | | | (8487) all_54_15 = e1 | all_54_15 = e0
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | BETA: splitting (8487) gives:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | (8488) all_54_15 = e1
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REF_CLOSE: (299), (8481), (8488) are inconsistent by
% 234.07/43.69 | | | | | | | | | | | | | | sub-proof #2338.
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | (8489) all_54_15 = e0
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | COMBINE_EQS: (299), (8489) imply:
% 234.07/43.69 | | | | | | | | | | | | | | (8490) all_4_2 = e0
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | SIMP: (8490) implies:
% 234.07/43.69 | | | | | | | | | | | | | | (8491) all_4_2 = e0
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REDUCE: (389), (8491) imply:
% 234.07/43.69 | | | | | | | | | | | | | | (8492) ~ (all_52_14 = e0)
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REDUCE: (390), (8491) imply:
% 234.07/43.69 | | | | | | | | | | | | | | (8493) ~ (e2 = e0)
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REDUCE: (8481), (8491) imply:
% 234.07/43.69 | | | | | | | | | | | | | | (8494) ~ (e1 = e0)
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REDUCE: (36), (8491) imply:
% 234.07/43.69 | | | | | | | | | | | | | | (8495) op(e0, e0) = e0
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | (8496) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.07/43.69 | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | BETA: splitting (8496) gives:
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | (8497) all_58_6 = e0 & op(e1, e3) = e0
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | ALPHA: (8497) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | (8498) all_58_6 = e0
% 234.07/43.69 | | | | | | | | | | | | | | | | (8499) op(e1, e3) = e0
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (88), (110),
% 234.07/43.69 | | | | | | | | | | | | | | | | (144), (148), (149), (159), (160), (163), (164),
% 234.07/43.69 | | | | | | | | | | | | | | | | (165), (167), (169), (192), (200), (214), (216),
% 234.07/43.69 | | | | | | | | | | | | | | | | (217), (218), (219), (227), (230), (232), (234),
% 234.07/43.69 | | | | | | | | | | | | | | | | (239), (243), (245), (257), (279), (391), (7001),
% 234.07/43.69 | | | | | | | | | | | | | | | | (7002), (7003), (7004), (7006), (7008), (7010),
% 234.07/43.69 | | | | | | | | | | | | | | | | (8470), (8476), (8477), (8479), (8495), (8498),
% 234.07/43.69 | | | | | | | | | | | | | | | | (8499), (function-axioms) are inconsistent by
% 234.07/43.69 | | | | | | | | | | | | | | | | sub-proof #1084.
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | (8500) all_58_7 = e0 & op(e1, e2) = e0
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | REF_CLOSE: (162), (8468), (8500), (function-axioms) are
% 234.07/43.69 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | (8501) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.07/43.69 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (8479), (8492), (8501),
% 234.07/43.69 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | | | #1083.
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | (8502) all_20_2 = e1
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | COMBINE_EQS: (341), (8502) imply:
% 234.07/43.69 | | | | | | | | | | | (8503) all_4_2 = e1
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | SIMP: (8503) implies:
% 234.07/43.69 | | | | | | | | | | | (8504) all_4_2 = e1
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | COMBINE_EQS: (254), (8504) imply:
% 234.07/43.69 | | | | | | | | | | | (8505) all_56_31 = e1
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | REDUCE: (379), (8504) imply:
% 234.07/43.69 | | | | | | | | | | | (8506) ~ (all_52_7 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | REDUCE: (388), (8504) imply:
% 234.07/43.69 | | | | | | | | | | | (8507) ~ (all_52_13 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | REDUCE: (7012), (8504) imply:
% 234.07/43.69 | | | | | | | | | | | (8508) ~ (e3 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | REDUCE: (390), (8504) imply:
% 234.07/43.69 | | | | | | | | | | | (8509) ~ (e2 = e1)
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | BETA: splitting (232) gives:
% 234.07/43.69 | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | (8510) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.07/43.69 | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | BETA: splitting (8510) gives:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | (8511) all_58_2 = e1 & op(e2, e3) = e1
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | REF_CLOSE: (167), (7004), (8511), (function-axioms) are
% 234.07/43.69 | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | (8512) all_58_3 = e1 & op(e2, e2) = e1
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | REF_CLOSE: (4), (8476), (8512) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | #1752.
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | (8513) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.07/43.69 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | BETA: splitting (8513) gives:
% 234.07/43.69 | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | (8514) all_58_5 = e1 & op(e2, e1) = e1
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | ALPHA: (8514) implies:
% 234.07/43.69 | | | | | | | | | | | | | (8515) all_58_5 = e1
% 234.07/43.69 | | | | | | | | | | | | | (8516) op(e2, e1) = e1
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.07/43.69 | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | (8517) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.07/43.69 | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7007), (8476), (8517),
% 234.07/43.69 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | | #1377.
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | (8518) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.07/43.69 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | BETA: splitting (8518) gives:
% 234.07/43.69 | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | (8519) all_58_7 = e1 & op(e1, e2) = e1
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | ALPHA: (8519) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | (8520) all_58_7 = e1
% 234.07/43.69 | | | | | | | | | | | | | | | (8521) op(e1, e2) = e1
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 234.07/43.69 | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | (8522) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 234.07/43.69 | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | BETA: splitting (8522) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8523) all_58_12 = e1 & op(e0, e3) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7006), (8523), (function-axioms) are
% 234.07/43.69 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8524) all_58_13 = e1 & op(e0, e2) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8506), (8524), (function-axioms) are
% 234.07/43.69 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | (8525) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 234.07/43.69 | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | BETA: splitting (8525) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8526) all_58_14 = e1 & op(e0, e1) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | ALPHA: (8526) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8527) all_58_14 = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8528) op(e0, e1) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (227),
% 234.07/43.69 | | | | | | | | | | | | | | | | | (229), (230), (8479), (8515), (8516), (8527),
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8528), (function-axioms) are inconsistent by
% 234.07/43.69 | | | | | | | | | | | | | | | | | sub-proof #1247.
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8529) all_58_15 = e1 & op(e0, e0) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | ALPHA: (8529) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8530) all_58_15 = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8531) op(e0, e0) = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 234.07/43.69 | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8521) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8532) all_52_6 = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 234.07/43.69 | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8516) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8533) all_52_9 = e1
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REDUCE: (128), (8532) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8534) ~ (all_52_7 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REDUCE: (126), (8532) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8535) ~ (all_52_14 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | SIMP: (8535) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8536) ~ (all_52_14 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REDUCE: (118), (8533) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8537) ~ (all_52_11 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | SIMP: (8537) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8538) ~ (all_52_11 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REDUCE: (117), (8533) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8539) ~ (all_52_13 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | REDUCE: (381), (8533) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8540) ~ (all_6_2 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | SIMP: (8540) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | (8541) ~ (all_6_2 = e1)
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | (8542) all_54_10 = e3
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (8542) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | | | | | | #2313.
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | (8543) ~ (all_54_10 = e3)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | (8544) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | BETA: splitting (8544) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8545) all_54_10 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (8545) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8546) all_6_2 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | SIMP: (8546) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8547) all_6_2 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8548) all_56_21 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | REDUCE: (380), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8549) ~ (all_52_8 = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | REDUCE: (383), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8550) ~ (all_52_11 = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | REDUCE: (385), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8551) ~ (all_52_14 = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | REDUCE: (391), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8552) ~ (e3 = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (8547) imply:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | (8553) op(e1, e1) = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | (8554) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8554) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8555) all_58_6 = e2 & op(e1, e3) = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8555) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8556) all_58_6 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (8468),
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8520), (8553), (8556), (function-axioms) are
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8557) all_58_7 = e2 & op(e1, e2) = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8557) implies:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8558) all_58_7 = e2
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8520), (8558) are inconsistent by sub-proof
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | #2134.
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | (8559) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8559) gives:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.69 | | | | | | | | | | | | | | | | | | | | | (8560) all_58_8 = e2 & op(e1, e1) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8560) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | (8561) all_58_8 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8562) all_54_1 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (8562) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8563) all_52_4 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8563) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8564) all_52_4 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8564) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8565) ~ (all_52_7 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8565) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8566) ~ (all_52_7 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8564) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8567) ~ (all_52_8 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8567) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8568) ~ (all_52_8 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8564) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8569) ~ (all_52_12 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (8569) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | (8570) ~ (all_52_12 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | (8571) all_54_2 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8568), (8571) are inconsistent by
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | (8572) ~ (all_54_2 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | (8573) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8573) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | (8574) all_54_2 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (8549), (8574) are inconsistent by
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1986.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | (8575) ~ (all_54_2 = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | (8576) all_54_2 = e1 | all_54_2 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8576) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8577) all_54_2 = e1
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (8577) are inconsistent by
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8578) all_54_2 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (8578) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8579) all_52_8 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8579) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8580) all_52_8 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (8580) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8581) ~ (all_52_11 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8581) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8582) ~ (all_52_11 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (8580) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8583) ~ (all_52_12 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8583) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8584) ~ (all_52_12 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8549), (8580) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8585) ~ (e2 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7008), (8580) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | (8586) ~ (e1 = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8587) all_54_3 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (8570), (8587) are inconsistent by
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8588) ~ (all_54_3 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (8589) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8590) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8590) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8591) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8591) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8592) op(e3, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8568), (8592), (function-axioms) are
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8593) all_58_5 = e3 & op(e2, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8593) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8594) all_58_5 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8515), (8594) are inconsistent by sub-proof
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2123.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8595) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8595) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8596) all_58_8 = e3 & op(e1, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8596) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8597) op(e1, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8553), (8597), (function-axioms) are
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8598) all_58_14 = e3 & op(e0, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8598) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8599) all_58_14 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600) op(e0, e1) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8601) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8601) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8602) all_58_0 = e3 & op(e3, e3) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8602) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8603) op(e3, e3) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7010), (8603), (function-axioms) are
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8604) all_58_1 = e3 & op(e3, e2) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8604) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8605) all_58_1 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8606) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7010), (8605), (8606),
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1132.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8607) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8607) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8608) all_58_4 = e2 & op(e3, e1) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8608) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8609) all_58_4 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (227), (8516), (8553),
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8600), (8609), (function-axioms) are inconsistent
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2162.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8610) all_58_9 = e2 & op(e3, e0) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8610) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8611) all_58_9 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8612) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8612) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8613) all_58_1 = e2 & op(e3, e2) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8605), (8613) are inconsistent by sub-proof
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1590.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8614) all_58_3 = e2 & op(e2, e2) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8476), (8614) are inconsistent by sub-proof
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8615) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8615) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8616) all_58_7 = e2 & op(e1, e2) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8616) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8617) all_58_7 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8520), (8617) are inconsistent by sub-proof
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2134.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8618) all_58_13 = e2 & op(e0, e2) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8618) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8619) op(e0, e2) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8620) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8620) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8621) all_58_0 = e2 & op(e3, e3) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8621) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8622) op(e3, e3) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (8622), (function-axioms) are
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8623) all_58_2 = e2 & op(e2, e3) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8623) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624) all_58_2 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8625) op(e2, e3) = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8626) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8626) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8627) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8627) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8628) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8628) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8629) ~ (all_56_21 = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8548), (8629) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8630) $false
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8630) is inconsistent.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8631) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8631) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8632) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8632) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8633) all_56_3 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8634) ~ (all_56_31 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8635) ~ (all_56_21 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8636) ~ (all_56_11 = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8637) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8530), (8531), (8566), (8599), (8619),
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624), (8637), (function-axioms) are inconsistent
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1081.
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8638) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8638) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8639) all_58_6 = e3 & op(e1, e3) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8639) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8640) op(e1, e3) = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8641) all_54_3 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (8641) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8642) all_52_12 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8642) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8643) all_52_12 = e2
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8643) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8644) ~ (all_52_13 = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8644) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8645) ~ (all_52_13 = e2)
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8646) all_54_7 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8646) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8647) all_52_13 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8647) implies:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8648) all_52_13 = e3
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8648) imply:
% 234.07/43.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8649) ~ (all_52_1 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8650) all_54_4 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8649), (8650) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8651) ~ (all_54_4 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (169), (214),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (239), (243), (245), (279),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003), (7004), (7010), (8466), (8477), (8531),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568), (8599), (8624), (8633), (8640), (8649),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8652), (function-axioms) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (269), (8471), (8507), (8625),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8653), (function-axioms) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2292.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8654) all_54_3 = e1 | all_54_3 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (7009), (8584), (8654) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8655) all_58_12 = e3 & op(e0, e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8655) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8656) all_58_12 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (190), (216), (255), (8531),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538), (8550), (8582), (8619), (8656),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1078.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8657) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8657) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8658) op(e3, e1) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8568), (8658), (function-axioms) are
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8659) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8659) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8660) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8660) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8661) op(e3, e1) = e1
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (8661), (function-axioms) are
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8662) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8662) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8663) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8663) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8664) op(e3, e0) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8570), (8664), (function-axioms) are
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8665) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8665) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8666) ~ (all_56_31 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8667) ~ (all_56_21 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8668) ~ (all_56_11 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8669) op(e0, e3) = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8670) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8530), (8531), (8566), (8599), (8619),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8624), (8670), (function-axioms) are inconsistent
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1081.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8671) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8671) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8672) all_58_6 = e3 & op(e1, e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8672) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673) op(e1, e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8674) all_54_3 = e2
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (8674) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8675) all_52_12 = e2
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8675) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8676) all_52_12 = e2
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8676) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8677) ~ (all_52_13 = e2)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8677) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8678) ~ (all_52_13 = e2)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (8676) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8679) ~ (all_52_14 = e2)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8680) all_54_7 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8680) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8681) all_52_13 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8681) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8682) all_52_13 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8682) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8683) ~ (all_52_1 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (8682) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8684) ~ (all_52_14 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8684) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8685) ~ (all_52_14 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8686) all_54_11 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8685), (8686) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8687) ~ (all_54_11 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8688) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8689) all_54_4 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (8683), (8689) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8690) ~ (all_54_4 = e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8691) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8692) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8692) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8693) all_56_0 = e3 & op(e3, all_56_1) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8693) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8694) op(e3, all_56_1) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (8694) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8695) op(e3, e1) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (8568), (8695), (function-axioms) are
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8696) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8696) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8697) op(e2, e3) = all_56_3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8688) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8698) all_54_11 = e2
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8551), (8698) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8699) ~ (all_54_11 = e2)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8700) all_54_11 = e1 | all_54_11 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8700) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8701) all_54_11 = e1
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (8536), (8701) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2176.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8702) all_54_11 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (8702) imply:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8703) all_52_14 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8703) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8704) all_52_14 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_3,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (8625), (8697) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705) all_56_3 = e2
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (169), (214),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (239), (243), (245), (279),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7003), (7004), (7010), (8466), (8477), (8531),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8568), (8599), (8624), (8673), (8683), (8691),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8705), (function-axioms) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1079.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8706) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (279), (7004), (8466), (8531), (8669),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8673), (8691), (8706), (function-axioms) are
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (269), (8471), (8507), (8625),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8707), (function-axioms) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2292.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8708) all_54_3 = e1 | all_54_3 = e0
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (7009), (8584), (8708) are inconsistent by
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8709) all_58_12 = e3 & op(e0, e3) = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8709) implies:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8710) all_58_12 = e3
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (190), (216), (255), (8531),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538), (8550), (8582), (8619), (8710),
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1078.
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8711) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8711) gives:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8712) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8465), (8505), (8548), (8712) are inconsistent by
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1077.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8713) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8713) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8714) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8714) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8715) op(e2, e0) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8471), (8715), (function-axioms) are
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8716) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (8536), (8600), (8716),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1699.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8717) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8717) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8718) all_58_6 = e2 & op(e1, e3) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8718) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8719) all_58_6 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (8468),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8553), (8719), (function-axioms) are
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8720) all_58_12 = e2 & op(e0, e3) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8720) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721) all_58_12 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8722) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (7010), (8466), (8722),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1272.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8723) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8723) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8724) all_58_6 = e0 & op(e1, e3) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8724) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725) all_58_6 = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8589) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8726) all_54_3 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (8726) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8727) all_52_12 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8727) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8728) all_52_12 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (8728) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8729) ~ (all_52_13 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8729) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8730) ~ (all_52_13 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8731) all_54_7 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (8731) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8732) all_52_13 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8732) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8733) all_52_13 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8733) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8734) ~ (all_52_1 = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (216), (217),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (239), (243), (245), (7010), (8599),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8725), (8734), (function-axioms) are inconsistent
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1199.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8735) ~ (all_54_7 = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (8735) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736) ~ (all_52_13 = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8737) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8737) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8738) all_58_2 = e2 & op(e2, e3) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8738) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8739) op(e2, e3) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (197), (269), (8471), (8507),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8736), (8739), (function-axioms) are inconsistent
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2291.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8740) all_58_3 = e2 & op(e2, e2) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8476), (8740) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1082.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8741) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8741) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8742) all_58_5 = e2 & op(e2, e1) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8742) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8743) all_58_5 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8515), (8743) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8744) e2 = e1
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8611), (8744) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8745) all_58_9 = e1
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (8531), (8736), (8745), (function-axioms)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1600.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8746) all_58_10 = e2 & op(e2, e0) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8746) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8747) op(e2, e0) = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8748) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (8570), (8736), (8748),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1592.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8749) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8749) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8750) all_58_11 = e3 & op(e1, e0) = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8750) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8751) all_58_11 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8752) all_58_15 = e0 & op(e0, e0) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8752) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8753) op(e0, e0) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8531), (8753), (function-axioms) are
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8754) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8754) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8755) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8755) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8756) all_58_9 = e0 & op(e3, e0) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8611), (8756) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1563.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8757) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8747), (8751), (8757),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8758) all_58_15 = e3 & op(e0, e0) = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (8530), (8566), (8599),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8721), (8758), (function-axioms) are inconsistent
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1813.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8759) all_54_3 = e1 | all_54_3 = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (7009), (8584), (8759) are inconsistent by
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8760) all_58_12 = e0 & op(e0, e3) = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8760) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8761) all_58_12 = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8721), (8761) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2083.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8762) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8762) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8763) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8763) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8764) all_58_4 = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (227),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (8479), (8599), (8600), (8764),
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8765) all_58_9 = e3 & op(e3, e0) = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8765) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8766) op(e3, e0) = e3
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (8570), (8766), (function-axioms) are
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | (8767) ~ (all_54_1 = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | (8768) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (282), (8767) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | (8769) ~ (all_52_4 = e3)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8768) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8770) all_54_1 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (8770) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8771) all_52_4 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8771) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8772) all_52_4 = e2
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (8772) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8773) ~ (all_52_7 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8773) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8774) ~ (all_52_7 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (8772) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8775) ~ (all_52_8 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (8772) imply:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8776) ~ (all_52_12 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8776) implies:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | (8777) ~ (all_52_12 = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | (8778) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.07/43.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8778) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8779) all_58_9 = e2 & op(e3, e0) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8779) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8780) all_58_9 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | (8781) op(e3, e0) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8782) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8782) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783) all_58_12 = e2 & op(e0, e3) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (112), (113),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (125), (139), (145), (159), (160),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (193),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (202), (213), (233), (239), (240),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (255), (256), (258), (269),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (281), (7008), (7009), (7010), (8465),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466), (8469), (8476), (8505), (8506), (8507),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515), (8536), (8538), (8548), (8549), (8550),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551), (8769), (8774), (8777), (8780), (8781),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8783), (function-axioms) are inconsistent by
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1072.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8784) all_58_13 = e2 & op(e0, e2) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8784) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8785) all_58_13 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8786) op(e0, e2) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8787) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (8769), (8787),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8788) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8788) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8789) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8789) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8790) all_58_4 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8791) all_54_13 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (8791) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8792) all_52_7 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8792) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8793) ~ (all_52_11 = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8793) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794) ~ (all_52_11 = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8795) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8795) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8796) all_58_12 = e3 & op(e0, e3) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8796) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8797) all_58_12 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8798) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (167), (7010), (8466), (8798),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1272.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8799) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8799) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8800) all_58_6 = e0 & op(e1, e3) = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8800) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8801) all_58_6 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8802) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8802) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8803) all_58_1 = e3 & op(e3, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8803) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8804) op(e3, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (8769), (8804), (function-axioms) are
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8805) all_58_3 = e3 & op(e2, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8805) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8806) all_58_3 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8476), (8806) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8807) e3 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8807) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8808) e3 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (8808) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8809) all_58_4 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (7010), (8769),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781), (8809), (function-axioms) are inconsistent
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1400.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8810) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8810) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8811) all_58_7 = e3 & op(e1, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (8520), (8769), (8790), (8811),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8812) all_58_13 = e3 & op(e0, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8812) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8813) all_58_13 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8785), (8813) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8814) e3 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8814) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8815) e3 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8797), (8815) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8816) all_58_12 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (112), (113),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (125), (139), (145), (159), (160),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (193),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (202), (213), (233), (240), (244),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (255), (256), (258), (269), (280),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (281), (7008), (7009), (7010), (8465), (8469),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8476), (8505), (8506), (8507), (8515), (8536),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8538), (8548), (8549), (8550), (8551), (8769),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8774), (8777), (8780), (8781), (8801), (8816),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1073.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8817) all_58_12 = e0 & op(e0, e3) = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8817) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8818) all_58_12 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8797), (8818) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8819) e3 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8790), (8819) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8820) all_58_4 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (7010), (8769),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781), (8820), (function-axioms) are inconsistent
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1400.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8821) all_58_13 = e3 & op(e0, e2) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8821) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8822) all_58_13 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8785), (8822) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2129.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8823) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (170), (240),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (7010), (8530), (8769), (8790),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8794), (8823), (function-axioms) are inconsistent
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1070.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8824) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (256), (8506), (8774), (8786), (8824),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1817.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8825) all_58_9 = e3 & op(e3, e0) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8825) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8826) op(e3, e0) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8781), (8826), (function-axioms) are
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (8827) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8827) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8828) all_58_14 = e2 & op(e0, e1) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8828) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8829) all_58_14 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8830) all_58_15 = e0 & op(e0, e0) = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8830) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8831) op(e0, e0) = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8531), (8831), (function-axioms) are
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8832) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8832) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8833) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8834) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8835) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8835) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8836) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8836) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8837) all_58_4 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8838) all_54_13 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (8838) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8839) all_52_7 = e3
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (8839) imply:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8840) ~ (all_52_11 = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8840) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841) ~ (all_52_11 = e3)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8833) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8842) all_58_12 = e0 & op(e0, e3) = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8842) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8843) all_58_12 = e0
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8844) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8844) gives:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8845) all_58_0 = e2 & op(e3, e3) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8845) implies:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8846) op(e3, e3) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (242),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (8769), (8780), (8781), (8846),
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8847) all_58_2 = e2 & op(e2, e3) = e2
% 234.07/43.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8847) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8848) all_58_2 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8834) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8849) all_58_9 = e0 & op(e3, e0) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8780), (8849) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1563.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8850) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8850) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8851) all_58_10 = e0 & op(e2, e0) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8851) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8852) op(e2, e0) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8471), (8852), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8853) all_58_11 = e0 & op(e1, e0) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8853) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8854) all_58_11 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8855) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8855) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8856) all_58_12 = e3 & op(e0, e3) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8856) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8857) all_58_12 = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (237), (238), (8476),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8829), (8833), (8857), (function-axioms)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1067.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8858) all_58_13 = e3 & op(e0, e2) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8858) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8859) all_58_13 = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8860) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8860) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8861) all_58_6 = e3 & op(e1, e3) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8861) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8862) all_58_6 = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8863) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8863) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8864) all_58_1 = e2 & op(e3, e2) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8864) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865) all_58_1 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8866) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7010), (8467), (8866),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8867) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8867) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8868) all_58_4 = e0 & op(e3, e1) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8868) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8869) all_58_4 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (7010), (8769),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781), (8869), (function-axioms) are inconsistent
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1400.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8870) all_58_9 = e0 & op(e3, e0) = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8870) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8871) all_58_9 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (8780), (8837),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8865), (8871), (function-axioms) are inconsistent
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1065.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8872) all_58_3 = e2 & op(e2, e2) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8872) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8873) all_58_3 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8476), (8873) imply:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8874) e2 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (8848), (8874) imply:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875) all_58_2 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (7010), (8843), (8862),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8875), (function-axioms) are inconsistent by
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1150.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8876) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8876) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8877) all_58_7 = e2 & op(e1, e2) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8877) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8878) all_58_7 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (223), (224), (8553),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8561), (8862), (8878), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1801.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8879) all_58_13 = e2 & op(e0, e2) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8879) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8880) all_58_13 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8859), (8880) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2129.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8881) all_58_7 = e3 & op(e1, e2) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (8520), (8769), (8837), (8881),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1071.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8882) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8882) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8883) all_58_8 = e3 & op(e1, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8883) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8884) op(e1, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8553), (8884), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8885) all_58_11 = e3 & op(e1, e0) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (7010), (8769),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8781), (8837), (8854), (8885), (function-axioms)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1064.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8886) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (170), (240),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (7010), (8530), (8769), (8837),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8841), (8886), (function-axioms) are inconsistent
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1070.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8887) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8887) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8888) all_58_6 = e2 & op(e1, e3) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8888) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8889) all_58_6 = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (8468),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8553), (8889), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1676.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890) all_58_12 = e2 & op(e0, e3) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (112), (113),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (125), (139), (145), (159), (160),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (190), (191), (193),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (197), (201), (202), (213), (233), (239), (240),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (255), (256), (258), (269),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (281), (7008), (7009), (7010), (8465),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8466), (8469), (8476), (8505), (8506), (8507),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8515), (8536), (8538), (8548), (8549), (8550),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8551), (8769), (8774), (8777), (8780), (8781),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8890), (function-axioms) are inconsistent by
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1072.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8891) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (237), (238), (8476),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8829), (8891), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1068.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8892) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (8469), (8506), (8774), (8892) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1648.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8893) all_58_5 = e3 & op(e2, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8893) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8894) all_58_5 = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (8515), (8894) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2123.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8895) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8895) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8896) all_58_8 = e3 & op(e1, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8896) implies:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8897) op(e1, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8553), (8897), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8898) all_58_14 = e3 & op(e0, e1) = e3
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (8829), (8898) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1747.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8899) all_58_15 = e2 & op(e0, e0) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8530), (8899) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8900) all_58_10 = e2 & op(e2, e0) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (112), (113), (120), (121), (125), (139),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (145), (159), (160), (167), (168), (169), (170),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (201), (202), (213),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (255), (256), (258), (269), (280), (281), (7008),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (7009), (8465), (8469), (8505), (8506), (8507),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8536), (8538), (8548), (8549), (8550), (8551),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8769), (8774), (8777), (8900), (function-axioms)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1075.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | (8901) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8901) gives:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8902) all_58_11 = e2 & op(e1, e0) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (8468),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8520), (8553), (8902), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | (8903) all_58_15 = e2 & op(e0, e0) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8530), (8903) are inconsistent by sub-proof
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | (8904) all_54_1 = e1 | all_54_1 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (7007), (8467), (8904) are inconsistent by
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2049.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | (8905) all_58_11 = e2 & op(e1, e0) = e2
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (9), (162), (223), (226), (8468),
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | (8520), (8553), (8905), (function-axioms) are
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1063.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.74 | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | (8906) all_54_10 = e1 | all_54_10 = e0
% 234.07/43.74 | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (8479), (8541), (8906) are inconsistent by
% 234.07/43.74 | | | | | | | | | | | | | | | | | | | sub-proof #2282.
% 234.07/43.74 | | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | | |
% 234.07/43.74 | | | | | | | | | | | | | | | | | End of split
% 234.07/43.74 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | (8907) all_58_13 = e1 & op(e0, e2) = e1
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | REF_CLOSE: (158), (8506), (8907), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | (8908) all_58_10 = e1 & op(e2, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | REF_CLOSE: (164), (8507), (8908), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | (8909) all_18_2 = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | COMBINE_EQS: (339), (8909) imply:
% 234.07/43.75 | | | | | | | | | | (8910) all_6_2 = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | SIMP: (8910) implies:
% 234.07/43.75 | | | | | | | | | | (8911) all_6_2 = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | COMBINE_EQS: (332), (8911) imply:
% 234.07/43.75 | | | | | | | | | | (8912) all_28_2 = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | COMBINE_EQS: (266), (8911) imply:
% 234.07/43.75 | | | | | | | | | | (8913) all_56_21 = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | REDUCE: (367), (8911) imply:
% 234.07/43.75 | | | | | | | | | | (8914) ~ (all_52_2 = e0)
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | REDUCE: (380), (8911) imply:
% 234.07/43.75 | | | | | | | | | | (8915) ~ (all_52_8 = e0)
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | REDUCE: (39), (8911) imply:
% 234.07/43.75 | | | | | | | | | | (8916) op(e1, e1) = e0
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | BETA: splitting (240) gives:
% 234.07/43.75 | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | (8917) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.07/43.75 | | | | | | | | | | | & op(e3, e2) = e0)
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | REF_CLOSE: (4), (170), (7010), (8467), (8917),
% 234.07/43.75 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | #1066.
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | (8918) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.07/43.75 | | | | | | | | | | | & op(e3, e0) = e0)
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | BETA: splitting (8918) gives:
% 234.07/43.75 | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | (8919) all_58_4 = e0 & op(e3, e1) = e0
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | REF_CLOSE: (169), (8915), (8919), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | (8920) all_58_9 = e0 & op(e3, e0) = e0
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | ALPHA: (8920) implies:
% 234.07/43.75 | | | | | | | | | | | | (8921) all_58_9 = e0
% 234.07/43.75 | | | | | | | | | | | | (8922) op(e3, e0) = e0
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | BETA: splitting (239) gives:
% 234.07/43.75 | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | (8923) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 234.07/43.75 | | | | | | | | | | | | | & op(e2, e3) = e0)
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | REF_CLOSE: (4), (167), (7010), (8466), (8923),
% 234.07/43.75 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | | | #1272.
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | (8924) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 234.07/43.75 | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | BETA: splitting (8924) gives:
% 234.07/43.75 | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | (8925) all_58_6 = e0 & op(e1, e3) = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | ALPHA: (8925) implies:
% 234.07/43.75 | | | | | | | | | | | | | | (8926) op(e1, e3) = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 234.07/43.75 | | | | | | | | | | | | | | e3, e1, simplifying with (163), (8926) gives:
% 234.07/43.75 | | | | | | | | | | | | | | (8927) all_52_2 = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | REDUCE: (8914), (8927) imply:
% 234.07/43.75 | | | | | | | | | | | | | | (8928) $false
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | CLOSE: (8928) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | (8929) all_58_12 = e0 & op(e0, e3) = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | ALPHA: (8929) implies:
% 234.07/43.75 | | | | | | | | | | | | | | (8930) all_58_12 = e0
% 234.07/43.75 | | | | | | | | | | | | | | (8931) op(e0, e3) = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 234.07/43.75 | | | | | | | | | | | | | | e3, e0, simplifying with (159), (8931) gives:
% 234.07/43.75 | | | | | | | | | | | | | | (8932) all_52_3 = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 234.07/43.75 | | | | | | | | | | | | | | e0, e0, e3, simplifying with (168), (8922) gives:
% 234.07/43.75 | | | | | | | | | | | | | | (8933) all_52_12 = e0
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | REDUCE: (139), (8932) imply:
% 234.07/43.75 | | | | | | | | | | | | | | (8934) ~ (all_52_11 = e0)
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | SIMP: (8934) implies:
% 234.07/43.75 | | | | | | | | | | | | | | (8935) ~ (all_52_11 = e0)
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | REDUCE: (387), (8933) imply:
% 234.07/43.75 | | | | | | | | | | | | | | (8936) ~ (all_4_2 = e0)
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | SIMP: (8936) implies:
% 234.07/43.75 | | | | | | | | | | | | | | (8937) ~ (all_4_2 = e0)
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 234.07/43.75 | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | (8938) all_54_15 = e3
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | REF_CLOSE: (299), (7012), (8938) are inconsistent by
% 234.07/43.75 | | | | | | | | | | | | | | | sub-proof #2340.
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | (8939) ~ (all_54_15 = e3)
% 234.07/43.75 | | | | | | | | | | | | | | | (8940) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | BETA: splitting (8940) gives:
% 234.07/43.75 | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | (8941) all_54_15 = e2
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (8941) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | | | | | | #2339.
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | (8942) ~ (all_54_15 = e2)
% 234.07/43.75 | | | | | | | | | | | | | | | | (8943) all_54_15 = e1 | all_54_15 = e0
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | BETA: splitting (8943) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8944) all_54_15 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (8944) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8945) all_4_2 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | SIMP: (8945) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8946) all_4_2 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8947) all_20_2 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8948) all_34_2 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8949) all_56_31 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | REDUCE: (379), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8950) ~ (all_52_7 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | REDUCE: (388), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8951) ~ (all_52_13 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | REDUCE: (389), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8952) ~ (all_52_14 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | REDUCE: (7012), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8953) ~ (e3 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | REDUCE: (390), (8946) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | (8954) ~ (e2 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | (8955) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7007), (8476), (8955),
% 234.07/43.75 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | | | | | | | | #1377.
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | (8956) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.07/43.75 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | BETA: splitting (8956) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | (8957) all_58_7 = e1 & op(e1, e2) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | ALPHA: (8957) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | (8958) all_58_7 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | (8959) op(e1, e2) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | (8960) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8960) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8961) all_58_9 = e1 & op(e3, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8961) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8962) all_58_9 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8921), (8962) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | #1744.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8963) all_58_10 = e1 & op(e2, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (8951), (8963), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | (8964) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8964) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8965) all_58_11 = e1 & op(e1, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8965) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8966) op(e1, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8952), (8966), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8967) all_58_15 = e1 & op(e0, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | ALPHA: (8967) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8968) all_58_15 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | (8969) op(e0, e0) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | (8970) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8970) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8971) all_58_2 = e1 & op(e2, e3) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7004), (8971), (function-axioms) are
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8972) all_58_3 = e1 & op(e2, e2) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8476), (8972) are inconsistent by sub-proof
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | (8973) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8973) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8974) all_58_5 = e1 & op(e2, e1) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (8974) implies:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8975) all_58_5 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8976) op(e2, e1) = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (8959) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8977) all_52_6 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (8976) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8978) all_52_9 = e1
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (8977) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | (8979) ~ (all_52_14 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | (8980) ~ (all_20_2 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8947), (8980) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | (8981) $false
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8981) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | (8982) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8983) ~ (all_28_2 = e0)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8912), (8983) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8984) $false
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8984) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | (8985) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8986) ~ (all_34_2 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8948), (8986) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8987) $false
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8987) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | (8988) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8989) ~ (all_38_2 = e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7002), (8989) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8990) $false
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8990) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | (8991) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8992) ~ (all_48_2 = e0)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8464), (8992) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8993) $false
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (8993) is inconsistent.
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8995) all_54_4 = e3
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (8995) imply:
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8996) all_52_1 = e3
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (8996) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8997) ~ (all_52_13 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (8997) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8998) ~ (all_52_13 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8999) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (164), (8921), (8998), (8999),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1062.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9000) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (210),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (225), (7005), (8477), (8916),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8922), (8935), (8949), (8958), (8968),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994), (9000), (function-axioms) are inconsistent
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1055.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9001) ~ (all_54_4 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (9001) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9003) ~ (all_52_1 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9004) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9004) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9005) all_58_9 = e3 & op(e3, e0) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9005) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9006) all_58_9 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8921), (9006) are inconsistent by sub-proof
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9007) all_58_10 = e3 & op(e2, e0) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9007) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008) all_58_10 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9009) op(e2, e0) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9010) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9010) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9011) all_58_9 = e2 & op(e3, e0) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9011) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9012) all_58_9 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8921), (9012) are inconsistent by sub-proof
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1660.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9013) all_58_10 = e2 & op(e2, e0) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9008), (9013) are inconsistent by sub-proof
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1105.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9014) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9014) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9015) all_58_11 = e2 & op(e1, e0) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9015) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9016) all_58_11 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9017) op(e1, e0) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8461) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9018) ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0 &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_14_1 & $i(all_14_0) &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9018) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019) ~ (all_14_0 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9020) op(e2, e0) = all_14_1
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9021) op(all_14_1, e2) = all_14_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9022) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9022) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9023) all_58_6 = e3 & op(e1, e3) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9023) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024) all_58_6 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9025) op(e1, e3) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8994) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9026) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9026) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9027) ~ (all_48_0 = e1)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9028) op(e2, e0) = all_48_1
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9029) op(all_48_1, e2) = all_48_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9030) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9030) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9031) all_56_0 = e3 & op(e3, all_56_1) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9031) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9032) op(e3, all_56_1) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (9032) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033) op(e3, e1) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8985) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9034) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9034) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9035) ~ (all_28_0 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9036) op(e1, e0) = all_28_1
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9037) op(all_28_1, e1) = all_28_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9038) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9038) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9039) all_58_0 = e2 & op(e3, e3) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9039) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9040) op(e3, e3) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9040), (function-axioms) are
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9041) all_58_2 = e2 & op(e2, e3) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9041) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9042) all_58_2 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (9017), (9036) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9043) all_28_1 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (9020), (9028)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9044) all_48_1 = all_14_1
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (9009), (9028) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9045) all_48_1 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9033) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9046) all_52_8 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9044), (9045) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9047) all_14_1 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9046) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048) ~ (all_52_4 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9046) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9049) ~ (all_52_11 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9049) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9050) ~ (all_52_11 = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9029), (9045) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9051) op(e3, e2) = all_48_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9037), (9043) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9052) op(e2, e1) = all_28_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9021), (9047) imply:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9053) op(e3, e2) = all_14_0
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9054) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9054) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9055) all_58_12 = e3 & op(e0, e3) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9055) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9056) all_58_12 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024), (9056), (function-axioms) are inconsistent
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1531.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9057) all_58_13 = e3 & op(e0, e2) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9057) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9058) all_58_13 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9059) op(e0, e2) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9060) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9060) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9061) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9061) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062) op(e3, e1) = all_56_17
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9063) op(e3, all_56_17) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (218), (243),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (7001), (7010), (8921), (8930),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968), (8976), (8982), (8988), (8991), (9024),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9033), (9035), (9042), (9048), (9052), (9058),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9062), (9063), (function-axioms) are inconsistent
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1047.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9064) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9064) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9065) op(e2, e1) = all_56_19
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066) op(e2, all_56_19) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9067) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9067) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9068) all_58_0 = e2 & op(e3, e3) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9068) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9069) op(e3, e3) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9069), (function-axioms) are
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9070) all_58_1 = e2 & op(e3, e2) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9070) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9071) all_58_1 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9072) op(e3, e2) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9073) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (9048), (9073),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9074) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9074) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9075) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9075) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076) all_58_4 = e3
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9077) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (244), (246),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9048), (9058), (9071),
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9076), (9077), (function-axioms) are inconsistent
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1053.
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9078) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9078) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9079) all_58_14 = e2 & op(e0, e1) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9079) implies:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9080) all_58_14 = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9081) op(e0, e1) = e2
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (8465), (9009), (9048), (9072),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9082), (function-axioms) are inconsistent by
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9083) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9083) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9084) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9084) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9085) op(e1, e2) = all_56_13
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086) op(e1, all_56_13) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9087) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9087) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9088) op(e0, e1) = all_20_1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8916), (8959), (8988), (9081), (9085),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086), (9088), (function-axioms) are inconsistent
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1045.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9089) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9089) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9090) op(e0, e1) = all_20_1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8916), (8959), (8988), (9081), (9085),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9086), (9090), (function-axioms) are inconsistent
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1045.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (8976), (9065)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9091) all_56_19 = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (9052), (9065)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9092) all_56_19 = all_28_0
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_0, e2, e3, simplifying with (9051), (9053)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9093) all_48_0 = all_14_0
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9051), (9072) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9094) all_48_0 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9091), (9092) imply:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9095) all_28_0 = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9095) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9096) all_28_0 = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9093), (9094) imply:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9097) all_14_0 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9097) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9098) all_14_0 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9019), (9098) imply:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9099) ~ (e3 = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (227), (229),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (8921), (8975), (9048), (9052),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9066), (9080), (9091), (9096), (function-axioms)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9100) all_58_15 = e2 & op(e0, e0) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8968), (9100) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9101) all_58_9 = e3 & op(e3, e0) = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9101) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9102) all_58_9 = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8921), (9102) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (243), (246),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9024), (9042), (9048),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9103), (function-axioms) are inconsistent by
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9104) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9104) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9105) all_56_20 = e1 & op(e1, all_56_21) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9105) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9106) op(e1, all_56_21) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8913), (9106) imply:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9107) op(e1, e0) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8952), (9107), (function-axioms) are
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9108) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9108) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109) op(e0, e1) = all_56_23
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9110) op(e0, all_56_23) = e0
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9111) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9111) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9112) all_58_0 = e2 & op(e3, e3) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9112) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9113) op(e3, e3) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9113), (function-axioms) are
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9114) all_58_1 = e2 & op(e3, e2) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9114) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115) all_58_1 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9116) op(e3, e2) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9117) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (9048), (9117),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9118) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9118) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9119) all_58_4 = e3 & op(e3, e1) = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9119) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9120) all_58_4 = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9121) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9121) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9122) all_58_12 = e2 & op(e0, e3) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (8921), (8930),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9115), (9120), (9122), (function-axioms) are
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1054.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9123) all_58_13 = e2 & op(e0, e2) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9123) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9124) all_58_13 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9058), (9124) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2129.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9125) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9125) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9126) all_58_14 = e2 & op(e0, e1) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9126) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9127) op(e0, e1) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (8465), (9009), (9048), (9116),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9128), (function-axioms) are inconsistent by
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1046.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9129) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9129) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9130) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9130) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9131) op(e1, e2) = all_56_13
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9132) op(e1, all_56_13) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (8959), (9131)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9133) all_56_13 = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9132), (9133) imply:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9134) op(e1, e1) = e1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8916), (9134), (function-axioms) are
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9135) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9135) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136) op(e0, e2) = all_56_15
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9137) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9137) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9138) op(e0, e1) = all_20_1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (246), (7010), (8921), (8976), (8988),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019), (9035), (9051), (9052), (9053), (9059),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109), (9110), (9115), (9116), (9120), (9127),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136), (9138), (function-axioms) are inconsistent
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1041.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9139) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9139) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9140) op(e0, e1) = all_20_1
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (246), (7010), (8921), (8976), (8988),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9019), (9035), (9051), (9052), (9053), (9059),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9109), (9110), (9115), (9116), (9120), (9127),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9136), (9140), (function-axioms) are inconsistent
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1041.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9141) all_58_15 = e2 & op(e0, e0) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8968), (9141) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9142) all_58_9 = e3 & op(e3, e0) = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9142) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9143) all_58_9 = e3
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8921), (9143) are inconsistent by sub-proof
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9144) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9144) gives:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9145) all_58_4 = e2 & op(e3, e1) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9145) implies:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9146) all_58_4 = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (7010), (8921),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9048), (9146), (function-axioms) are inconsistent
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1143.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9147) all_58_9 = e2 & op(e3, e0) = e2
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (243), (7010), (8921), (8930),
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9024), (9042), (9147), (function-axioms) are
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1049.
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9148) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9148) gives:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9149) all_58_14 = e3 & op(e0, e1) = e3
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9050), (9149), (function-axioms) are
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9150) all_58_15 = e3 & op(e0, e0) = e3
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7010), (8968), (9003), (9024), (9150),
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1137.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9151) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8930), (9024), (9151) are inconsistent
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1151.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9152) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9152) implies:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9153) ~ (all_28_1 = e2)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9154) op(e1, e0) = all_28_1
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9017), (9153), (9154), (function-axioms) are
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9155) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (167), (243), (245),
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (7004), (7010), (8466), (8477), (8930),
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002), (9003), (9024), (9155), (function-axioms)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1040.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9156) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (279), (7004), (8466), (8931), (8969),
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002), (9025), (9156), (function-axioms) are
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9157) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9157) implies:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9158) ~ (all_48_1 = e3)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9159) op(e2, e0) = all_48_1
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9009), (9020), (9158), (9159), (function-axioms)
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.07/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9160) all_58_7 = e3 & op(e1, e2) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (8921), (8958), (8968),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008), (9016), (9160) are inconsistent by
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1039.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9161) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9161) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9162) all_58_8 = e3 & op(e1, e1) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8916), (9162), (function-axioms) are
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9163) all_58_11 = e3 & op(e1, e0) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (210),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (225), (7005), (8477), (8916),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8922), (8935), (8949), (8958), (8968),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994), (9163), (function-axioms) are inconsistent
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1056.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9164) ~ (all_14_1 = e1) & op(e2, e0) = all_14_1 &
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_14_1)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9164) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9165) ~ (all_14_1 = e1)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9166) op(e2, e0) = all_14_1
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9167) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9167) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9168) all_58_6 = e3 & op(e1, e3) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9168) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169) all_58_6 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9170) op(e1, e3) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8994) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9171) ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0 &
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_48_1 & $i(all_48_0) &
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9171) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9172) ~ (all_48_0 = e1)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9173) op(e2, e0) = all_48_1
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9174) op(all_48_1, e2) = all_48_0
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9175) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9175) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9176) all_56_0 = e3 & op(e3, all_56_1) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9176) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9177) op(e3, all_56_1) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (9177) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178) op(e3, e1) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8985) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9179) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9179) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180) ~ (all_28_0 = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9181) op(e1, e0) = all_28_1
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9182) op(all_28_1, e1) = all_28_0
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9183) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9183) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9184) all_58_0 = e2 & op(e3, e3) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9184) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9185) op(e3, e3) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9185), (function-axioms) are
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9186) all_58_2 = e2 & op(e2, e3) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9186) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9187) all_58_2 = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_28_1,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (9017), (9181) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9188) all_28_1 = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_14_1,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_48_1, e0, e2, simplifying with (9166), (9173)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9189) all_48_1 = all_14_1
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_48_1,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (9009), (9173) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9190) all_48_1 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (9178) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9191) all_52_8 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9189), (9190) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9192) all_14_1 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9191) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9193) ~ (all_52_4 = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (9191) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9194) ~ (all_52_11 = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9194) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9195) ~ (all_52_11 = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9174), (9190) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9196) op(e3, e2) = all_48_0
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9182), (9188) imply:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9197) op(e2, e1) = all_28_0
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9198) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9198) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9199) all_58_12 = e3 & op(e0, e3) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9199) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9200) all_58_12 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (239), (241), (243),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9169), (9200), (function-axioms) are inconsistent
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1531.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9201) all_58_13 = e3 & op(e0, e2) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9201) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9202) all_58_13 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9203) op(e0, e2) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9204) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9204) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9205) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9205) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206) op(e3, e1) = all_56_17
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9207) op(e3, all_56_17) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (218), (243),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (246), (7001), (7010), (8921), (8930),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8968), (8976), (8982), (8988), (8991), (9169),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9178), (9180), (9187), (9193), (9197), (9202),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9206), (9207), (function-axioms) are inconsistent
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1047.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9208) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9208) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9209) op(e2, e1) = all_56_19
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210) op(e2, all_56_19) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9211) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9211) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9212) all_58_0 = e2 & op(e3, e3) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9212) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9213) op(e3, e3) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9213), (function-axioms) are
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9214) all_58_1 = e2 & op(e3, e2) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9214) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9215) all_58_1 = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9216) op(e3, e2) = e2
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9217) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (9193), (9217),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9218) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9218) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9219) all_58_4 = e3 & op(e3, e1) = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9219) implies:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220) all_58_4 = e3
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9221) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (244), (246),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9193), (9202), (9215),
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9220), (9221), (function-axioms) are inconsistent
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1053.
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9222) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9222) gives:
% 234.26/43.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9223) all_58_14 = e2 & op(e0, e1) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9223) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9224) all_58_14 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9225) op(e0, e1) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9226) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9226) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9227) op(e0, e1) = all_20_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8988) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (8976), (9209)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9228) all_56_19 = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (9197), (9209)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9229) all_56_19 = all_28_0
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9196), (9216) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9230) all_48_0 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9228), (9229) imply:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9231) all_28_0 = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (227), (229),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (8921), (8975), (9193), (9197),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210), (9224), (9228), (9231), (function-axioms)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9232) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9232) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9233) ~ (all_34_1 = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9234) op(e0, e1) = all_34_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9225), (9227), (9233), (9234), (function-axioms)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2237.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9235) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9235) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9236) ~ (all_20_1 = e3)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9237) op(e0, e1) = all_20_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8988) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9238) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9238) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9239) op(e0, e1) = all_34_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (9237), (9239)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9240) all_34_1 = all_20_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_34_1,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (9225), (9239) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9241) all_34_1 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (8976), (9209)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9242) all_56_19 = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_28_0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (9197), (9209)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9243) all_56_19 = all_28_0
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_48_0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (9196), (9216) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9244) all_48_0 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9242), (9243) imply:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9245) all_28_0 = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9240), (9241) imply:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9246) all_20_1 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9236), (9246) imply:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9247) ~ (e3 = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (227), (229),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (8921), (8975), (9193), (9197),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9210), (9224), (9242), (9245), (function-axioms)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1043.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9248) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9248) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9249) ~ (all_34_1 = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9250) op(e0, e1) = all_34_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9225), (9237), (9249), (9250), (function-axioms)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2237.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9251) all_58_15 = e2 & op(e0, e0) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8968), (9251) are inconsistent by sub-proof
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9252) all_58_9 = e3 & op(e3, e0) = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9252) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9253) all_58_9 = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8921), (9253) are inconsistent by sub-proof
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (243), (246),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9169), (9187), (9193),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9254), (function-axioms) are inconsistent by
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9255) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9255) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9256) all_56_20 = e1 & op(e1, all_56_21) = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9256) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9257) op(e1, all_56_21) = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8913), (9257) imply:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9258) op(e1, e0) = e1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (8952), (9258), (function-axioms) are
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9259) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9259) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9260) op(e0, e1) = all_56_23
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9261) op(e0, all_56_23) = e0
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9262) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9262) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9263) all_58_0 = e2 & op(e3, e3) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9263) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9264) op(e3, e3) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9264), (function-axioms) are
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9265) all_58_1 = e2 & op(e3, e2) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9265) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9266) all_58_1 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9267) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (9193), (9267),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9268) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9268) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9269) all_58_4 = e3 & op(e3, e1) = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9269) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270) all_58_4 = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9271) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (244), (246),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9193), (9202), (9266),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270), (9271), (function-axioms) are inconsistent
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1053.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9272) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9272) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9273) all_58_14 = e2 & op(e0, e1) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9273) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9274) op(e0, e1) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (8982) gives:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9275) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9275) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9276) op(e0, e1) = all_20_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (246), (7010), (8921), (8976), (8988),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180), (9197), (9203), (9260), (9261), (9266),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270), (9274), (9276), (function-axioms) are
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1038.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9277) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9277) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9278) op(e0, e1) = all_20_1
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (246), (7010), (8921), (8976), (8988),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9180), (9197), (9203), (9260), (9261), (9266),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9270), (9274), (9278), (function-axioms) are
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1038.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9279) all_58_15 = e2 & op(e0, e0) = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8968), (9279) are inconsistent by sub-proof
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1917.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9280) all_58_9 = e3 & op(e3, e0) = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9280) implies:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9281) all_58_9 = e3
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8921), (9281) are inconsistent by sub-proof
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1958.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (170), (243), (246),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (8921), (8930), (9169), (9187), (9193),
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9282), (function-axioms) are inconsistent by
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1048.
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.26/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9283) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9283) gives:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9284) all_58_14 = e3 & op(e0, e1) = e3
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (9195), (9284), (function-axioms) are
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9285) all_58_15 = e3 & op(e0, e0) = e3
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (7010), (8968), (9003), (9169), (9285),
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1137.
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9286) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (8930), (9169), (9286) are inconsistent
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1151.
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9287) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9287) implies:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9288) ~ (all_28_1 = e2)
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9289) op(e1, e0) = all_28_1
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9017), (9288), (9289), (function-axioms) are
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9290) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (167), (243), (245),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (7004), (7010), (8466), (8477), (8930),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002), (9003), (9169), (9290), (function-axioms)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1040.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9291) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (279), (7004), (8466), (8931), (8969),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9002), (9170), (9291), (function-axioms) are
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1152.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9292) ~ (all_48_1 = e3) & op(e2, e0) = all_48_1 &
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9292) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9293) ~ (all_48_1 = e3)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9294) op(e2, e0) = all_48_1
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9009), (9166), (9293), (9294), (function-axioms)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1632.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9295) all_58_7 = e3 & op(e1, e2) = e3
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (8921), (8958), (8968),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9008), (9016), (9295) are inconsistent by
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1039.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9296) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9296) gives:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9297) all_58_8 = e3 & op(e1, e1) = e3
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8916), (9297), (function-axioms) are
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9298) all_58_11 = e3 & op(e1, e0) = e3
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (210),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (225), (7005), (8477), (8916),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8922), (8935), (8949), (8958), (8968),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994), (9298), (function-axioms) are inconsistent
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1056.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9299) all_58_15 = e2 & op(e0, e0) = e2
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9299) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9300) all_58_15 = e2
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8968), (9300) are inconsistent by sub-proof
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2231.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9301) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (163), (210),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (224), (225), (7005), (8477), (8916),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8921), (8922), (8935), (8949), (8958), (8968),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (8994), (9301), (function-axioms) are inconsistent
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1055.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | (9302) all_58_10 = e1 & op(e2, e0) = e1
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9302) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | (9303) all_58_10 = e1
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (8921),
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | (8968), (9303) are inconsistent by sub-proof
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | | #1618.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | (9304) all_58_13 = e1 & op(e0, e2) = e1
% 234.33/43.80 | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (8950), (9304), (function-axioms) are
% 234.33/43.80 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.33/43.80 | | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9305) all_54_15 = e0
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (8937), (9305) are inconsistent by
% 234.33/43.80 | | | | | | | | | | | | | | | | | sub-proof #1737.
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | |
% 234.33/43.80 | | | | | | | | End of split
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | (9306) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 = e0 &
% 234.33/43.80 | | | | | | | | op(e2, e0) = e0)
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | REF_CLOSE: (164), (165), (8470), (8471), (9306),
% 234.33/43.80 | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.80 | | | | | | | | #1991.
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | End of split
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | End of split
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | Case 2:
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | (9307) all_12_2 = e3
% 234.33/43.80 | | | | | | (9308) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 & op(e0,
% 234.33/43.80 | | | | | | e3) = all_12_1 & $i(all_12_0) & $i(all_12_1)) | ( ~
% 234.33/43.80 | | | | | | (all_12_1 = e2) & op(e0, e3) = all_12_1 & $i(all_12_1))
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | COMBINE_EQS: (346), (9307) imply:
% 234.33/43.80 | | | | | | (9309) all_4_2 = e3
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | COMBINE_EQS: (334), (9309) imply:
% 234.33/43.80 | | | | | | (9310) all_26_2 = e3
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | COMBINE_EQS: (254), (9309) imply:
% 234.33/43.80 | | | | | | (9311) all_56_31 = e3
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (368), (9309) imply:
% 234.33/43.80 | | | | | | (9312) ~ (all_52_3 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (379), (9309) imply:
% 234.33/43.80 | | | | | | (9313) ~ (all_52_7 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (386), (9309) imply:
% 234.33/43.80 | | | | | | (9314) ~ (all_52_11 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (387), (9309) imply:
% 234.33/43.80 | | | | | | (9315) ~ (all_52_12 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (388), (9309) imply:
% 234.33/43.80 | | | | | | (9316) ~ (all_52_13 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | REDUCE: (389), (9309) imply:
% 234.33/43.80 | | | | | | (9317) ~ (all_52_14 = e3)
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | BETA: splitting (222) gives:
% 234.33/43.80 | | | | | |
% 234.33/43.80 | | | | | | Case 1:
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | | (9318) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3 &
% 234.33/43.80 | | | | | | | op(e2, e0) = e3)
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | | REF_CLOSE: (164), (168), (9315), (9316), (9318), (function-axioms)
% 234.33/43.80 | | | | | | | are inconsistent by sub-proof #1592.
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | Case 2:
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | | (9319) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 = e3 &
% 234.33/43.80 | | | | | | | op(e0, e0) = e3)
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | | BETA: splitting (9319) gives:
% 234.33/43.80 | | | | | | |
% 234.33/43.80 | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | (9320) all_58_11 = e3 & op(e1, e0) = e3
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | ALPHA: (9320) implies:
% 234.33/43.80 | | | | | | | | (9321) op(e1, e0) = e3
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | REF_CLOSE: (160), (9317), (9321), (function-axioms) are
% 234.33/43.80 | | | | | | | | inconsistent by sub-proof #2149.
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | (9322) all_58_15 = e3 & op(e0, e0) = e3
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | ALPHA: (9322) implies:
% 234.33/43.80 | | | | | | | | (9323) all_58_15 = e3
% 234.33/43.80 | | | | | | | | (9324) op(e0, e0) = e3
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | BETA: splitting (52) gives:
% 234.33/43.80 | | | | | | | |
% 234.33/43.80 | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | |
% 234.33/43.80 | | | | | | | | | (9325) ~ (all_14_2 = e0)
% 234.33/43.80 | | | | | | | | |
% 234.33/43.80 | | | | | | | | | REDUCE: (344), (9325) imply:
% 234.33/43.80 | | | | | | | | | (9326) ~ (all_8_2 = e0)
% 234.33/43.80 | | | | | | | | |
% 234.33/43.80 | | | | | | | | | BETA: splitting (58) gives:
% 234.33/43.80 | | | | | | | | |
% 234.33/43.80 | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | (9327) ~ (all_18_2 = e0)
% 234.33/43.80 | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | REDUCE: (339), (9327) imply:
% 234.33/43.80 | | | | | | | | | | (9328) ~ (all_6_2 = e0)
% 234.33/43.80 | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | BETA: splitting (64) gives:
% 234.33/43.80 | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | (9329) ~ (all_22_2 = e1)
% 234.33/43.80 | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | REDUCE: (326), (9329) imply:
% 234.33/43.80 | | | | | | | | | | | (9330) ~ (all_8_2 = e1)
% 234.33/43.80 | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | BETA: splitting (199) gives:
% 234.33/43.80 | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | (9331) all_54_5 = e3
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | COMBINE_EQS: (275), (9331) imply:
% 234.33/43.80 | | | | | | | | | | | | (9332) all_8_2 = e3
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | REDUCE: (392), (9332) imply:
% 234.33/43.80 | | | | | | | | | | | | (9333) $false
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | CLOSE: (9333) is inconsistent.
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | (9334) ~ (all_54_5 = e3)
% 234.33/43.80 | | | | | | | | | | | | (9335) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | BETA: splitting (9335) gives:
% 234.33/43.80 | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | (9336) all_54_5 = e2
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | COMBINE_EQS: (275), (9336) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9337) all_8_2 = e2
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | COMBINE_EQS: (353), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9338) all_56_11 = e2
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (366), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9339) ~ (all_52_1 = e2)
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (373), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9340) ~ (all_52_7 = e2)
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (375), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9341) ~ (all_52_9 = e2)
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (377), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9342) ~ (all_52_13 = e2)
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (392), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9343) ~ (e3 = e2)
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | REDUCE: (42), (9337) imply:
% 234.33/43.80 | | | | | | | | | | | | | (9344) op(e2, e2) = e2
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.33/43.80 | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | (9345) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.33/43.80 | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.33/43.80 | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.33/43.80 | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.33/43.80 | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.33/43.80 | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.33/43.80 | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.33/43.80 | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.33/43.80 | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.33/43.80 | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.33/43.80 | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | BETA: splitting (9345) gives:
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | (9346) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.33/43.80 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.33/43.80 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.33/43.80 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.33/43.80 | | | | | | | | | | | | | | | = e3)
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | REF_CLOSE: (167), (7003), (9338), (9339), (9346),
% 234.33/43.80 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.80 | | | | | | | | | | | | | | | #1213.
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | (9347) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.33/43.80 | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.33/43.80 | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.33/43.80 | | | | | | | | | | | | | | | = e0)
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (7008), (9311), (9312), (9347),
% 234.33/43.80 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.80 | | | | | | | | | | | | | | | #1411.
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | (9348) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.33/43.80 | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.33/43.80 | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.33/43.80 | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.33/43.80 | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.33/43.80 | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.33/43.80 | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.33/43.80 | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.33/43.80 | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.33/43.80 | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.33/43.80 | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | BETA: splitting (9348) gives:
% 234.33/43.80 | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | (9349) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.33/43.80 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.33/43.80 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.33/43.80 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.33/43.80 | | | | | | | | | | | | | | | = e2)
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | BETA: splitting (9349) gives:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | (9350) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.33/43.80 | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.33/43.80 | | | | | | | | | | | | | | | | e2) = e2
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | ALPHA: (9350) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | (9351) op(e2, e1) = e2
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9341), (9351), (function-axioms) are
% 234.33/43.80 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | (9352) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.33/43.80 | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.33/43.80 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | BETA: splitting (9352) gives:
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9353) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.33/43.80 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.33/43.80 | | | | | | | | | | | | | | | | | e2) = e1
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | ALPHA: (9353) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9354) ~ (all_56_11 = e2)
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | REDUCE: (9338), (9354) imply:
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9355) $false
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | CLOSE: (9355) is inconsistent.
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9356) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.33/43.80 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.33/43.80 | | | | | | | | | | | | | | | | | e2) = e2
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | ALPHA: (9356) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9357) op(e2, e0) = e2
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 234.33/43.80 | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (9357) gives:
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9358) all_52_13 = e2
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | REDUCE: (9342), (9358) imply:
% 234.33/43.80 | | | | | | | | | | | | | | | | | (9359) $false
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | | CLOSE: (9359) is inconsistent.
% 234.33/43.80 | | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | End of split
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | Case 2:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | (9360) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.33/43.80 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.33/43.80 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.33/43.80 | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.33/43.80 | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.33/43.80 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.33/43.80 | | | | | | | | | | | | | | | = e0)
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | BETA: splitting (9360) gives:
% 234.33/43.80 | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | Case 1:
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | (9361) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.33/43.80 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.33/43.80 | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 234.33/43.80 | | | | | | | | | | | | | | | | e2) = e0
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.80 | | | | | | | | | | | | | | | | ALPHA: (9361) implies:
% 234.33/43.80 | | | | | | | | | | | | | | | | (9362) ~ (all_56_11 = e2)
% 234.33/43.80 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | REDUCE: (9338), (9362) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | (9363) $false
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | CLOSE: (9363) is inconsistent.
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | (9364) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 234.33/43.81 | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.33/43.81 | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 234.33/43.81 | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 234.33/43.81 | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.33/43.81 | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.33/43.81 | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | BETA: splitting (9364) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9365) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 234.33/43.81 | | | | | | | | | | | | | | | | | e1) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | ALPHA: (9365) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9366) ~ (all_56_31 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9367) ~ (all_56_21 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9368) ~ (all_56_11 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9369) ~ (all_56_1 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9370) op(e0, e1) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9371) op(e1, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 234.33/43.81 | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (9370) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9372) all_52_11 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 234.33/43.81 | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9371) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9373) all_52_14 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | REDUCE: (125), (9372) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9374) ~ (all_52_7 = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | REDUCE: (110), (9373) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9375) ~ (all_52_13 = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | REDUCE: (9317), (9373) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9376) ~ (e3 = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | (9377) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | BETA: splitting (9377) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9378) all_58_9 = e1 & op(e3, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7009), (9378), (function-axioms) are
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9379) all_58_10 = e1 & op(e2, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9375), (9379), (function-axioms) are
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | (9380) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | BETA: splitting (9380) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9381) all_58_11 = e1 & op(e1, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | ALPHA: (9381) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9382) all_58_11 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | (9383) all_54_13 = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (9313), (9383) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | (9384) ~ (all_54_13 = e3)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | (9385) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | (9386) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9386) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9387) all_58_12 = e1 & op(e0, e3) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7006), (9387), (function-axioms) are
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9388) all_58_13 = e1 & op(e0, e2) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9374), (9388), (function-axioms) are
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | (9389) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9389) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9390) all_58_14 = e1 & op(e0, e1) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9390) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9391) all_58_14 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | (9392) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9392) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | (9393) all_58_12 = e2 & op(e0, e3) = e2
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9393) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | (9394) all_58_12 = e2
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9395) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (170), (7007), (9344), (9395),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | #2142.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | (9396) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9396) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (9397) all_58_7 = e1 & op(e1, e2) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9397) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (9398) all_58_7 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9399) all_54_7 = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9316), (9399) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9400) ~ (all_54_7 = e3)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9401) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9402) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9402) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9403) all_58_6 = e3 & op(e1, e3) = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9403) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404) all_58_6 = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9401) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9405) all_54_7 = e2
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9342), (9405) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1997.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9406) ~ (all_54_7 = e2)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9407) all_54_7 = e1 | all_54_7 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9407) gives:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9408) all_54_7 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9375), (9408) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2295.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9409) all_54_7 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9409) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9410) all_52_13 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9410) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9411) all_52_13 = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (9411) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9412) ~ (all_52_1 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9316), (9411) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9413) ~ (e3 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9342), (9411) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9414) ~ (e2 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9375), (9411) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9415) ~ (e1 = e0)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (167), (239), (7010), (9394),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9404), (9412), (function-axioms) are inconsistent
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1271.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9416) all_58_7 = e3 & op(e1, e2) = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9416) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9417) all_58_7 = e3
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9398), (9417) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9418) e3 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9323), (9418) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419) all_58_15 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (9313), (9391), (9394),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9419), (function-axioms) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1814.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9420) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (223), (225),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9317), (9371), (9382), (9398), (9420),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1418.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (9421) all_58_13 = e1 & op(e0, e2) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9374), (9421), (function-axioms) are
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | (9422) all_58_13 = e2 & op(e0, e2) = e2
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9422) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | (9423) op(e0, e2) = e2
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (256), (9340), (9374), (9385), (9423),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | | #1817.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | (9424) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9324), (9391), (9424),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | | #1037.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9425) all_58_15 = e1 & op(e0, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9425) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9426) all_58_15 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9323), (9426) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9427) e3 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9311), (9427) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9428) all_56_31 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (42), (123), (126), (148),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (194), (199), (213), (218),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (275),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (297), (375), (381), (391), (392), (7004), (7007),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9326), (9328), (9330), (9374), (9375), (9426),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | (9428), (function-axioms) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1830.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9429) all_58_15 = e1 & op(e0, e0) = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | ALPHA: (9429) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9430) all_58_15 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9323), (9430) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9431) e3 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | SIMP: (9431) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9432) e3 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9311), (9432) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9433) all_56_31 = e1
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (42), (123), (126), (148),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (164), (165), (167),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (168), (169), (170), (194), (199), (213), (218),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (221), (223), (226), (227), (230), (231), (232),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (234), (235), (236), (237), (238), (266), (275),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (297), (375), (381), (391), (392), (7004), (7007),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9326), (9328), (9330), (9374), (9375), (9430),
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | (9433), (function-axioms) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | | | | | | | sub-proof #1830.
% 234.33/43.81 | | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9434) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 234.33/43.81 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 234.33/43.81 | | | | | | | | | | | | | | | | | e1) = e0
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | ALPHA: (9434) implies:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9435) ~ (all_56_1 = e1)
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | REDUCE: (7003), (9435) imply:
% 234.33/43.81 | | | | | | | | | | | | | | | | | (9436) $false
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | | CLOSE: (9436) is inconsistent.
% 234.33/43.81 | | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | (9437) all_54_5 = e1 | all_54_5 = e0
% 234.33/43.81 | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | | REF_CLOSE: (275), (9326), (9330), (9437) are inconsistent by
% 234.33/43.81 | | | | | | | | | | | | | sub-proof #2300.
% 234.33/43.81 | | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | End of split
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | Case 2:
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | (9438) all_22_2 = e1
% 234.33/43.81 | | | | | | | | | | | (9439) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 234.33/43.81 | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 234.33/43.81 | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 234.33/43.81 | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | COMBINE_EQS: (326), (9438) imply:
% 234.33/43.81 | | | | | | | | | | | (9440) all_8_2 = e1
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | SIMP: (9440) implies:
% 234.33/43.81 | | | | | | | | | | | (9441) all_8_2 = e1
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | COMBINE_EQS: (347), (9441) imply:
% 234.33/43.81 | | | | | | | | | | | (9442) all_30_2 = e1
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | COMBINE_EQS: (353), (9441) imply:
% 234.33/43.81 | | | | | | | | | | | (9443) all_56_11 = e1
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | REDUCE: (373), (9441) imply:
% 234.33/43.81 | | | | | | | | | | | (9444) ~ (all_52_7 = e1)
% 234.33/43.81 | | | | | | | | | | |
% 234.33/43.81 | | | | | | | | | | | REDUCE: (377), (9441) imply:
% 234.40/43.81 | | | | | | | | | | | (9445) ~ (all_52_13 = e1)
% 234.40/43.81 | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | REDUCE: (392), (9441) imply:
% 234.40/43.81 | | | | | | | | | | | (9446) ~ (e3 = e1)
% 234.40/43.81 | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | REDUCE: (42), (9441) imply:
% 234.40/43.81 | | | | | | | | | | | (9447) op(e2, e2) = e1
% 234.40/43.81 | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | BETA: splitting (220) gives:
% 234.40/43.81 | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | (9448) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.40/43.81 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | BETA: splitting (9448) gives:
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | (9449) all_58_9 = e1 & op(e3, e0) = e1
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | REF_CLOSE: (168), (7009), (9449), (function-axioms) are
% 234.40/43.81 | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | Case 2:
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | (9450) all_58_10 = e1 & op(e2, e0) = e1
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | REF_CLOSE: (164), (9445), (9450), (function-axioms) are
% 234.40/43.81 | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | End of split
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | Case 2:
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | (9451) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.40/43.81 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | BETA: splitting (9451) gives:
% 234.40/43.81 | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | (9452) all_58_11 = e1 & op(e1, e0) = e1
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | ALPHA: (9452) implies:
% 234.40/43.81 | | | | | | | | | | | | | (9453) all_58_11 = e1
% 234.40/43.81 | | | | | | | | | | | | | (9454) op(e1, e0) = e1
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | BETA: splitting (217) gives:
% 234.40/43.81 | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | (9455) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 234.40/43.81 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | BETA: splitting (9455) gives:
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | (9456) all_58_12 = e1 & op(e0, e3) = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | REF_CLOSE: (159), (7006), (9456), (function-axioms) are
% 234.40/43.81 | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | Case 2:
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | (9457) all_58_13 = e1 & op(e0, e2) = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | REF_CLOSE: (158), (9444), (9457), (function-axioms) are
% 234.40/43.81 | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | End of split
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | Case 2:
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | (9458) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 234.40/43.81 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | BETA: splitting (9458) gives:
% 234.40/43.81 | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | Case 1:
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | (9459) all_58_14 = e1 & op(e0, e1) = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | ALPHA: (9459) implies:
% 234.40/43.81 | | | | | | | | | | | | | | | (9460) all_58_14 = e1
% 234.40/43.81 | | | | | | | | | | | | | | | (9461) op(e0, e1) = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 234.40/43.81 | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (9461) gives:
% 234.40/43.81 | | | | | | | | | | | | | | | (9462) all_52_11 = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 234.40/43.81 | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (9454) gives:
% 234.40/43.81 | | | | | | | | | | | | | | | (9463) all_52_14 = e1
% 234.40/43.81 | | | | | | | | | | | | | | |
% 234.40/43.81 | | | | | | | | | | | | | | | REDUCE: (126), (9463) imply:
% 234.40/43.82 | | | | | | | | | | | | | | | (9464) ~ (all_52_6 = e1)
% 234.40/43.82 | | | | | | | | | | | | | | |
% 234.40/43.82 | | | | | | | | | | | | | | | REDUCE: (118), (9462) imply:
% 234.40/43.82 | | | | | | | | | | | | | | | (9465) ~ (all_52_9 = e1)
% 234.40/43.82 | | | | | | | | | | | | | | |
% 234.40/43.82 | | | | | | | | | | | | | | | REDUCE: (385), (9463) imply:
% 234.40/43.82 | | | | | | | | | | | | | | | (9466) ~ (all_6_2 = e1)
% 234.40/43.82 | | | | | | | | | | | | | | |
% 234.40/43.82 | | | | | | | | | | | | | | | SIMP: (9466) implies:
% 234.40/43.82 | | | | | | | | | | | | | | | (9467) ~ (all_6_2 = e1)
% 234.40/43.82 | | | | | | | | | | | | | | |
% 234.40/43.82 | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.41/43.82 | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | (9468) all_54_10 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (9468) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | #2313.
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | (9469) ~ (all_54_10 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | (9470) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | BETA: splitting (9470) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9471) all_54_10 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (9471) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9472) all_6_2 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | SIMP: (9472) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9473) all_6_2 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9474) all_36_2 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9475) all_40_2 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | REDUCE: (378), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9476) ~ (all_52_6 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | REDUCE: (380), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9477) ~ (all_52_8 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | REDUCE: (381), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9478) ~ (all_52_9 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | REDUCE: (391), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9479) ~ (e3 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | REDUCE: (39), (9473) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | (9480) op(e1, e1) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | (9481) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | BETA: splitting (9481) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9482) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | ALPHA: (9482) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9483) all_58_6 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (223), (226), (9317),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9454), (9480), (9483), (function-axioms) are
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1406.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9484) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | ALPHA: (9484) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9485) all_58_7 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (160), (223), (226), (9317),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9454), (9480), (9485), (function-axioms) are
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1263.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | (9486) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.41/43.82 | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | BETA: splitting (9486) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9487) all_58_8 = e2 & op(e1, e1) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | ALPHA: (9487) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | (9488) all_58_8 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | (9489) ~ (all_26_2 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (9310), (9489) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | (9490) $false
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | CLOSE: (9490) is inconsistent.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | (9491) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | (9492) ~ (all_30_2 = e1)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (9442), (9492) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | (9493) $false
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | CLOSE: (9493) is inconsistent.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | (9494) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | (9495) ~ (all_36_2 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9474), (9495) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | (9496) $false
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9496) is inconsistent.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | (9497) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | (9498) ~ (all_40_2 = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9475), (9498) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | (9499) $false
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9499) is inconsistent.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | (9500) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | (9501) all_54_3 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9315), (9501) are inconsistent by
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | (9502) ~ (all_54_3 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | (9503) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | (9504) all_54_7 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9316), (9504) are inconsistent by
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | (9505) ~ (all_54_7 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | (9506) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (9507) all_54_6 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9507) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (9508) all_52_9 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9508) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (9509) ~ (all_52_1 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9508) imply:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (9510) ~ (all_52_8 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9511) all_54_2 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (9510), (9511) are inconsistent by
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9512) ~ (all_54_2 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9513) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9514) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9514) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9515) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9515) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9516) op(e3, e1) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9510), (9516), (function-axioms) are
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9517) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9517) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9518) all_58_5 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519) op(e2, e1) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9439) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9520) ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0 &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_22_1 & $i(all_22_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9520) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9521) ~ (all_22_0 = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9522) op(e2, e1) = all_22_1
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9523) op(all_22_1, e2) = all_22_0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9524) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9524) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9525) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9525) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9526) op(e3, e1) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (168), (246), (7010), (9315), (9494),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9519), (9521), (9522), (9523), (9526),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1378.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9527) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9527) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9528) all_58_5 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9518), (9528) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2038.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9529) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9461), (9480), (9529),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1036.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9530) ~ (all_22_1 = e0) & op(e2, e1) = all_22_1 &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9530) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9531) ~ (all_22_1 = e0)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9532) op(e2, e1) = all_22_1
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9533) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9533) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9534) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9534) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535) all_58_4 = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9536) op(e3, e1) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9537) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (7010), (9509), (9537),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9538) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9538) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9539) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9539) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9540) all_58_6 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9541) op(e1, e3) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9542) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9542) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9543) all_58_0 = e3 & op(e3, e3) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9543) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9544) op(e3, e3) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (7010), (9544), (function-axioms) are
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9545) all_58_1 = e3 & op(e3, e2) = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9545) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9546) all_58_1 = e3
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9547) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (9447), (9546), (9547),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1322.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9548) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9548) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9549) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9549) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9550) all_58_7 = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (223), (224), (9480),
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9488), (9540), (9550), (function-axioms) are
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1801.
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9551) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9551) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9552) op(e0, e2) = e2
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9494) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9553) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9553) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9554) op(e2, e1) = all_30_1
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9555) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9555) implies:
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9556) op(e0, e0) = e0
% 234.41/43.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9324), (9556), (function-axioms) are
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9557) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9557) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9558) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9513) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9559) all_54_2 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (9477), (9559) are inconsistent by
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1986.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9560) all_54_2 = e1 | all_54_2 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9561) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (7010), (9546), (9561),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1132.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9562) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9562) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9563) all_58_4 = e2 & op(e3, e1) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9563) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9564) all_58_4 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9535), (9564) are inconsistent by sub-proof
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1666.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9565) all_58_9 = e2 & op(e3, e0) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9565) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9566) all_58_9 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9558) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9567) all_58_12 = e0 & op(e0, e3) = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9567) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9568) all_58_12 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9569) op(e0, e3) = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9570) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9570) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9571) all_58_0 = e2 & op(e3, e3) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9571) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9572) op(e3, e3) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9572), (function-axioms) are
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9573) all_58_2 = e2 & op(e2, e3) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9573) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9574) op(e2, e3) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9560) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9575) all_54_2 = e1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (9575) are inconsistent by
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9576) all_54_2 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (9576) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9577) all_52_8 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9577) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9578) all_52_8 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9578) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9579) ~ (all_52_4 = e0)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9578) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9580) ~ (all_52_12 = e0)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9580) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9581) ~ (all_52_12 = e0)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7008), (9578) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9582) ~ (e1 = e0)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9503) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9583) all_54_3 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (9583) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9584) all_52_12 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9584) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9585) all_52_12 = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9585) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9586) ~ (all_52_4 = e2)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9587) all_54_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (9587) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9588) all_52_4 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9588) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9589) all_52_4 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9589) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9590) ~ (all_52_6 = e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9590) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9591) ~ (all_52_6 = e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (9589) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9592) ~ (all_52_7 = e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9593) all_54_9 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (9591), (9593) are inconsistent by
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9594) ~ (all_54_9 = e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9596) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9596) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9597) all_56_0 = e3 & op(e3, all_56_1) = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9597) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9598) op(e3, all_56_1) = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (9598) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9599) op(e3, e1) = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9536), (9599), (function-axioms) are
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2118.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9600) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9600) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9601) op(e2, e3) = all_56_3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9602) op(e2, all_56_3) = e2
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (267), (9447), (9464), (9476), (9574),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9595), (9601), (9602), (function-axioms) are
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1116.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9603) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9603) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9604) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9604) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9605) op(e1, e3) = all_56_5
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9606) op(e1, all_56_5) = e1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9541), (9605), (9606), (function-axioms) are
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2243.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9607) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9607) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9608) op(e0, e3) = all_56_7
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9609) op(e0, all_56_7) = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9308) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9610) ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9610) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9611) op(e0, e3) = all_12_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9491) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_7,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9569), (9608) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9612) all_56_7 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (9532), (9554)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9613) all_30_1 = all_22_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (9519), (9554) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9614) all_30_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9613), (9614) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9615) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9615) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9616) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9609), (9612) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9617) op(e0, e0) = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (158),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (219), (226), (239), (241), (243),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (9313), (9314), (9317), (9591), (9617),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9618) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9618) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9619) ~ (all_26_1 = e1)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9620) op(e0, e3) = all_26_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9611), (9620)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9621) all_26_1 = all_12_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (9608), (9620)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9622) all_56_7 = all_26_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_7,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9569), (9608) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9623) all_56_7 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (9532), (9554)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9624) all_30_1 = all_22_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (9519), (9554) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9625) all_30_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9622), (9623) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9626) all_26_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9626) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9627) all_26_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9624), (9625) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9628) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9628) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9629) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9621), (9627) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9630) all_12_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9609), (9623) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9631) op(e0, e0) = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (158),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (219), (226), (239), (241), (243),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (391), (9313), (9314), (9317), (9591), (9631),
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1035.
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9632) ~ (all_12_1 = e2) & op(e0, e3) = all_12_1 &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_12_1)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9632) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633) ~ (all_12_1 = e2)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9634) op(e0, e3) = all_12_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9491) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9635) ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0 &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_26_1 & $i(all_26_0) &
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9635) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9636) op(e0, e3) = all_26_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9634), (9636)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9637) all_26_1 = all_12_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (9608), (9636)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9638) all_56_7 = all_26_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_7,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9569), (9608) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9639) all_56_7 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (9532), (9554)
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9640) all_30_1 = all_22_1
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (9519), (9554) gives:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9641) all_30_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9638), (9639) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9642) all_26_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9642) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9643) all_26_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9640), (9641) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9644) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9644) implies:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9645) all_22_1 = e3
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9637), (9643) imply:
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9646) all_12_1 = e0
% 234.41/43.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (39), (157), (158), (160),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (219), (226), (239), (241), (243), (391),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313), (9314), (9317), (9531), (9591), (9609),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633), (9639), (9645), (9646), (function-axioms)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1034.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9647) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9647) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9648) ~ (all_26_1 = e1)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9649) op(e0, e3) = all_26_1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_12_1,
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_1, e3, e0, simplifying with (9634), (9649)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9650) all_26_1 = all_12_1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_26_1,
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (9608), (9649)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9651) all_56_7 = all_26_1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_7,
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (9569), (9608) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9652) all_56_7 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_22_1,
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_30_1, e1, e2, simplifying with (9532), (9554)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9653) all_30_1 = all_22_1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_30_1,
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (9519), (9554) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9654) all_30_1 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9651), (9652) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9655) all_26_1 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9655) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9656) all_26_1 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9653), (9654) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9657) all_22_1 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9657) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9658) all_22_1 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9650), (9656) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9659) all_12_1 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (9), (39), (157), (158), (160),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (219), (226), (239), (241), (243), (391),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9313), (9314), (9317), (9531), (9591), (9609),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9633), (9652), (9658), (9659), (function-axioms)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1034.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9660) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (7007), (9579), (9586), (9660) are
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2048.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9661) all_54_3 = e1 | all_54_3 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (7009), (9581), (9661) are inconsistent by
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2287.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9662) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9662) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9663) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9540), (9663) are inconsistent by sub-proof
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2219.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9664) all_58_12 = e2 & op(e0, e3) = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9664) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9665) all_58_12 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9568), (9665) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9666) e2 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9666) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9667) e2 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9566), (9667) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9668) all_58_9 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9535), (9668), (function-axioms) are inconsistent
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1190.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9669) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9669) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9670) all_58_13 = e0 & op(e0, e2) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9670) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9671) op(e0, e2) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9552), (9671), (function-axioms) are
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9672) all_58_14 = e0 & op(e0, e1) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9672) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9673) all_58_14 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674) op(e0, e1) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (169), (228),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (391), (7008), (9535), (9673),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9674), (function-axioms) are inconsistent by
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1242.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9675) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9675) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9676) ~ (all_30_1 = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9677) op(e2, e1) = all_30_1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9519), (9676), (9677), (function-axioms) are
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1839.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9678) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (168), (9315), (9536), (9678),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1379.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9679) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9679) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9680) all_58_12 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (218), (9323),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9460), (9680), (function-axioms) are inconsistent
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1031.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9681) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9681) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9682) op(e2, e1) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9494), (9531), (9532), (9682), (function-axioms)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1356.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9683) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (9461), (9480), (9683),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1036.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9684) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (9314), (9480), (9684),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9685) ~ (all_54_6 = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9686) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (9685) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (9687) ~ (all_52_9 = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9686) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9688) all_54_6 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9688) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9689) all_52_9 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9478), (9689) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9690) $false
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9690) is inconsistent.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9691) ~ (all_54_6 = e2)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9692) all_54_6 = e1 | all_54_6 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9693) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9693) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9694) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9694) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695) all_58_4 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9692) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9696) all_54_6 = e1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9696) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9697) all_52_9 = e1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9465), (9697) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9698) $false
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (9698) is inconsistent.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9699) all_54_6 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (9699) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9700) all_52_9 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (9700) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9701) ~ (all_52_8 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (9700) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9702) ~ (all_52_13 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9702) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703) ~ (all_52_13 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9478), (9700) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9704) ~ (e2 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9465), (9700) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9705) ~ (e1 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (9700) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9706) op(e2, e1) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9707) all_54_2 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (9707) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9708) all_52_8 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9708) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9709) all_52_8 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (9709) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710) ~ (all_52_4 = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (9709) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9711) ~ (all_52_12 = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9712) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (167), (170),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (232), (240), (244), (246), (7004),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (7010), (9445), (9460), (9695), (9710), (9712),
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1028.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9713) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9713) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9714) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9714) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9715) all_58_7 = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9716) op(e1, e2) = e3
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9506) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9717) all_54_7 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (9717) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9718) all_52_13 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (9718) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9719) ~ (all_52_12 = e2)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9503) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9720) all_54_3 = e2
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (9719), (9720) are inconsistent by
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2290.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9721) ~ (all_54_3 = e2)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9722) all_54_3 = e1 | all_54_3 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9722) gives:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9723) all_54_3 = e1
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (7009), (9723) are inconsistent by
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2289.
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9724) all_54_3 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (9724) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9725) all_52_12 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9725) implies:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9726) all_52_12 = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (9726) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9727) ~ (all_52_4 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9315), (9726) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9728) ~ (e3 = e0)
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (9726) imply:
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9729) op(e3, e0) = e0
% 234.41/43.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9730) all_54_1 = e3
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (9710), (9730) are inconsistent by
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9731) ~ (all_54_1 = e3)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9732) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9733) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9733) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9734) all_58_0 = e2 & op(e3, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9734) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9735) op(e3, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7010), (9735), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9736) all_58_1 = e2 & op(e3, e2) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9736) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737) all_58_1 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9738) op(e3, e2) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9739) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9739) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9740) all_58_0 = e2 & op(e3, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9740) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9741) op(e3, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (9695),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9737), (9741), (function-axioms) are inconsistent
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2180.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9742) all_58_2 = e2 & op(e2, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9742) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9743) op(e2, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (197), (269), (9316), (9445),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9703), (9743), (function-axioms) are inconsistent
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2291.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9744) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9744) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9745) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9745) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9746) all_58_6 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9747) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7010), (9727), (9747),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9748) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9748) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9749) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9701), (9749), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9750) all_58_9 = e0 & op(e3, e0) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9750) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9751) all_58_9 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9752) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9752) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9753) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9753) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9754) all_58_6 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9746), (9754) imply:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9755) e2 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9755) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9756) e2 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9737), (9756) imply:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757) all_58_1 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (9695), (9751),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9757), (function-axioms) are inconsistent by
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1097.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9758) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695), (9715), (9751), (9758), (function-axioms)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9759) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9759) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9760) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9760) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9761) op(e1, e1) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (165), (228), (229),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695), (9706), (9761), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1025.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9762) all_58_11 = e0 & op(e1, e0) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9762) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9763) op(e1, e0) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9454), (9763), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2284.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9764) all_58_12 = e2 & op(e0, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9764) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9765) op(e0, e3) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9766) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (7010), (9727), (9766),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1066.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9767) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9767) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9768) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9701), (9768), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9769) all_58_9 = e0 & op(e3, e0) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9769) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9770) all_58_9 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9771) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9771) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9772) all_58_1 = e0 & op(e3, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9772) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773) all_58_1 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (7010), (9695), (9770),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9773), (function-axioms) are inconsistent by
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1097.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9774) all_58_3 = e0 & op(e2, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (9326), (9774), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9775) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9775) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9776) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (7010),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9695), (9715), (9770), (9776), (function-axioms)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1027.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9777) all_58_13 = e0 & op(e0, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9777) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778) op(e0, e2) = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9497) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9779) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9779) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9780) op(e1, e2) = all_36_1
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (163), (170), (197), (212), (269),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (7005), (7007), (9308), (9316), (9324),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443), (9445), (9491), (9500), (9703), (9706),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710), (9716), (9727), (9732), (9738), (9765),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778), (9780), (function-axioms) are inconsistent
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1021.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9781) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9781) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9782) op(e1, e2) = all_36_1
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (163), (170), (197), (212), (269),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (282), (7005), (7007), (9308), (9316), (9324),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9443), (9445), (9491), (9500), (9703), (9706),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9710), (9716), (9727), (9732), (9738), (9765),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9778), (9782), (function-axioms) are inconsistent
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1021.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9783) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9783) gives:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9784) all_58_4 = e2 & op(e3, e1) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9695), (9784) are inconsistent by sub-proof
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1476.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9785) all_58_9 = e2 & op(e3, e0) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9785) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9786) op(e3, e0) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9729), (9786), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2154.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9787) all_54_7 = e1 | all_54_7 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (9445), (9703), (9787) are inconsistent by
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2293.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9788) all_58_13 = e3 & op(e0, e2) = e3
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9788) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9789) op(e0, e2) = e3
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9439), (9494), (9706), (9789), (function-axioms)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1110.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9790) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (9477), (9701), (9790) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9791) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9687), (9791), (function-axioms) are
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9792) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (9314), (9480), (9792),
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | (9793) all_58_11 = e2 & op(e1, e0) = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | ALPHA: (9793) implies:
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | (9794) all_58_11 = e2
% 234.41/43.85 | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9453), (9794) are inconsistent by sub-proof
% 234.41/43.85 | | | | | | | | | | | | | | | | | | | #1020.
% 234.41/43.85 | | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | (9795) all_54_10 = e1 | all_54_10 = e0
% 234.41/43.85 | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (9328), (9467), (9795) are inconsistent by
% 234.41/43.85 | | | | | | | | | | | | | | | | | sub-proof #2282.
% 234.41/43.85 | | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | End of split
% 234.41/43.85 | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | Case 2:
% 234.41/43.85 | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | (9796) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.85 | | | | | | | | | | | | | | |
% 234.41/43.85 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9323), (9796) are inconsistent by sub-proof
% 234.41/43.86 | | | | | | | | | | | | | | | #1393.
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | (9797) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REF_CLOSE: (8), (9323), (9797) are inconsistent by sub-proof
% 234.41/43.86 | | | | | | | | | | | | | #1393.
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | (9798) all_18_2 = e0
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | COMBINE_EQS: (339), (9798) imply:
% 234.41/43.86 | | | | | | | | | | (9799) all_6_2 = e0
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | SIMP: (9799) implies:
% 234.41/43.86 | | | | | | | | | | (9800) all_6_2 = e0
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | COMBINE_EQS: (266), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9801) all_56_21 = e0
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (367), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9802) ~ (all_52_2 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (378), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9803) ~ (all_52_6 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (380), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9804) ~ (all_52_8 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (381), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9805) ~ (all_52_9 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (385), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9806) ~ (all_52_14 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (391), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9807) ~ (e3 = e0)
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | REDUCE: (39), (9800) imply:
% 234.41/43.86 | | | | | | | | | | (9808) op(e1, e1) = e0
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | BETA: splitting (64) gives:
% 234.41/43.86 | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | (9809) ~ (all_22_2 = e1)
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | REDUCE: (326), (9809) imply:
% 234.41/43.86 | | | | | | | | | | | (9810) ~ (all_8_2 = e1)
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | BETA: splitting (199) gives:
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | (9811) all_54_5 = e3
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | COMBINE_EQS: (275), (9811) imply:
% 234.41/43.86 | | | | | | | | | | | | (9812) all_8_2 = e3
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | REDUCE: (392), (9812) imply:
% 234.41/43.86 | | | | | | | | | | | | (9813) $false
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | CLOSE: (9813) is inconsistent.
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | (9814) ~ (all_54_5 = e3)
% 234.41/43.86 | | | | | | | | | | | | (9815) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | BETA: splitting (9815) gives:
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | (9816) all_54_5 = e2
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | COMBINE_EQS: (275), (9816) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9817) all_8_2 = e2
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | COMBINE_EQS: (353), (9817) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9818) all_56_11 = e2
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REDUCE: (366), (9817) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9819) ~ (all_52_1 = e2)
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REDUCE: (375), (9817) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9820) ~ (all_52_9 = e2)
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REDUCE: (392), (9817) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9821) ~ (e3 = e2)
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REDUCE: (42), (9817) imply:
% 234.41/43.86 | | | | | | | | | | | | | (9822) op(e2, e2) = e2
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | (9823) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.86 | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.86 | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.86 | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.86 | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.86 | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.86 | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.86 | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.86 | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.86 | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.86 | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | BETA: splitting (9823) gives:
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | (9824) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.86 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.86 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.86 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.86 | | | | | | | | | | | | | | | = e3)
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | REF_CLOSE: (167), (7003), (9818), (9819), (9824),
% 234.41/43.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.86 | | | | | | | | | | | | | | | #1213.
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | (9825) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.86 | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.86 | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.86 | | | | | | | | | | | | | | | = e0)
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (7008), (9311), (9312), (9825),
% 234.41/43.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.86 | | | | | | | | | | | | | | | #1411.
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | (9826) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.86 | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.86 | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.86 | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.86 | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.86 | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.86 | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.86 | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.86 | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.86 | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.86 | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | BETA: splitting (9826) gives:
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | (9827) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.86 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.86 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.86 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.86 | | | | | | | | | | | | | | | = e2)
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | BETA: splitting (9827) gives:
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | (9828) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.41/43.86 | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.41/43.86 | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | ALPHA: (9828) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | (9829) op(e2, e1) = e2
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9820), (9829), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | (9830) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.41/43.86 | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.41/43.86 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | BETA: splitting (9830) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | (9831) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.86 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.41/43.86 | | | | | | | | | | | | | | | | | e2) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | ALPHA: (9831) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | (9832) ~ (all_56_11 = e2)
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | REDUCE: (9818), (9832) imply:
% 234.41/43.86 | | | | | | | | | | | | | | | | | (9833) $false
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | CLOSE: (9833) is inconsistent.
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | (9834) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.41/43.86 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.41/43.86 | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | ALPHA: (9834) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | (9835) op(e2, e0) = e2
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | (9836) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | BETA: splitting (9836) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9837) all_58_2 = e0 & op(e2, e3) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | ALPHA: (9837) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9838) all_58_2 = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | (9839) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9839) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9840) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7004), (9840), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9841) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9841) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9842) op(e2, e2) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9822), (9842), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | (9843) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9843) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9844) all_58_5 = e1 & op(e2, e1) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9844) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9845) all_58_5 = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (234), (9822), (9835), (9838),
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9845), (function-axioms) are inconsistent by
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | sub-proof #2122.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9846) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9846) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | (9847) op(e2, e0) = e1
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9835), (9847), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9848) all_58_3 = e0 & op(e2, e2) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | ALPHA: (9848) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9849) op(e2, e2) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9822), (9849), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2137.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | (9850) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 234.41/43.86 | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | BETA: splitting (9850) gives:
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9851) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (9805), (9851), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9852) all_58_10 = e0 & op(e2, e0) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | ALPHA: (9852) implies:
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | (9853) op(e2, e0) = e0
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9835), (9853), (function-axioms) are
% 234.41/43.86 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 234.41/43.86 | | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | (9854) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.86 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.86 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.86 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.86 | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.86 | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.86 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.86 | | | | | | | | | | | | | | | = e0)
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | | REF_CLOSE: (160), (9801), (9806), (9818), (9854),
% 234.41/43.86 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.86 | | | | | | | | | | | | | | | #1319.
% 234.41/43.86 | | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | (9855) all_54_5 = e1 | all_54_5 = e0
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | | REF_CLOSE: (275), (9326), (9810), (9855) are inconsistent by
% 234.41/43.86 | | | | | | | | | | | | | sub-proof #2300.
% 234.41/43.86 | | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | End of split
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | Case 2:
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | (9856) all_22_2 = e1
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | COMBINE_EQS: (326), (9856) imply:
% 234.41/43.86 | | | | | | | | | | | (9857) all_8_2 = e1
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | COMBINE_EQS: (353), (9857) imply:
% 234.41/43.86 | | | | | | | | | | | (9858) all_56_11 = e1
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | REDUCE: (375), (9857) imply:
% 234.41/43.86 | | | | | | | | | | | (9859) ~ (all_52_9 = e1)
% 234.41/43.86 | | | | | | | | | | |
% 234.41/43.86 | | | | | | | | | | | REDUCE: (377), (9857) imply:
% 234.41/43.87 | | | | | | | | | | | (9860) ~ (all_52_13 = e1)
% 234.41/43.87 | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | REDUCE: (392), (9857) imply:
% 234.41/43.87 | | | | | | | | | | | (9861) ~ (e3 = e1)
% 234.41/43.87 | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | REDUCE: (42), (9857) imply:
% 234.41/43.87 | | | | | | | | | | | (9862) op(e2, e2) = e1
% 234.41/43.87 | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/43.87 | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | (9863) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/43.87 | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/43.87 | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | BETA: splitting (9863) gives:
% 234.41/43.87 | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | (9864) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | ALPHA: (9864) implies:
% 234.41/43.87 | | | | | | | | | | | | | (9865) op(e1, e3) = e1
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | REF_CLOSE: (163), (7005), (9865), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | (9866) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | ALPHA: (9866) implies:
% 234.41/43.87 | | | | | | | | | | | | | (9867) all_58_7 = e1
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.87 | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | (9868) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.87 | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.87 | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | BETA: splitting (9868) gives:
% 234.41/43.87 | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | (9869) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | ALPHA: (9869) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | (9870) all_58_6 = e3
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | (9871) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7008), (9859), (9871),
% 234.41/43.87 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | #1211.
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | (9872) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 234.41/43.87 | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | BETA: splitting (9872) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9873) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | ALPHA: (9873) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9874) all_58_8 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9875) op(e1, e1) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (223), (225),
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9803), (9867), (9870), (9874), (9875),
% 234.41/43.87 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | | #1269.
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9876) all_58_14 = e1 & op(e0, e1) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | ALPHA: (9876) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | (9877) all_58_14 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | (9878) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | BETA: splitting (9878) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9879) all_58_1 = e3 & op(e3, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | ALPHA: (9879) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9880) op(e3, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | (9881) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9881) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9882) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9870), (9882) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | #2219.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9883) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9867), (9883) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | #2218.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | (9884) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9884) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9885) all_58_8 = e2 & op(e1, e1) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9885) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9886) op(e1, e1) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9808), (9886), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9887) all_58_11 = e2 & op(e1, e0) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9887) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | (9888) all_58_11 = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | (9889) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (7010), (9880), (9889),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | #1524.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | (9890) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9890) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | (9891) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9804), (9891), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | (9892) all_58_9 = e0 & op(e3, e0) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9892) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | (9893) all_58_9 = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | (9894) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (42), (244), (246),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | (7010), (9326), (9893), (9894), (function-axioms)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1088.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | (9895) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9895) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9896) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9896) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9897) all_58_7 = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9898) op(e1, e2) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (162), (224), (225),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9808), (9870), (9897), (9898), (function-axioms)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1018.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9899) all_58_13 = e0 & op(e0, e2) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9899) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | (9900) op(e0, e2) = e0
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9901) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9901) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9902) all_58_12 = e2 & op(e0, e3) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9902) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9903) all_58_12 = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9904) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9904) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9905) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7009), (9905), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9906) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (9860), (9906), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9907) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9907) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9908) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9908) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9909) all_58_11 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (117), (123),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (145), (146), (157), (158), (159), (160),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (197), (198), (202), (213), (216), (218),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (227), (228), (229), (230), (232), (235),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (242), (244), (246),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (281), (7004), (7008), (7010),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311), (9312), (9313), (9314), (9315), (9316),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323), (9324), (9326), (9801), (9802), (9803),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804), (9805), (9806), (9808), (9858), (9859),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860), (9862), (9877), (9909), (function-axioms)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1009.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9910) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9910) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911) all_58_15 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (9313), (9877), (9903),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (9911), (function-axioms) are inconsistent by
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1814.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9912) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9912) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9913) op(e0, e2) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9900), (9913), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (9914) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9914) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9915) all_58_14 = e2 & op(e0, e1) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9915) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9916) all_58_14 = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9877), (9916) imply:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9917) e2 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9888), (9917) imply:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9918) all_58_11 = e1
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (117), (123),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (134), (145), (146), (157), (158), (159), (160),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (197), (198), (202), (213), (216), (218),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (227), (228), (229), (230), (232), (235),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (239), (240), (242), (244), (246),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (281), (7004), (7008), (7010),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9311), (9312), (9313), (9314), (9315), (9316),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9323), (9324), (9326), (9801), (9802), (9803),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9804), (9805), (9806), (9808), (9858), (9859),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9860), (9862), (9877), (9918), (function-axioms)
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1009.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9919) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (9919) implies:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (9920) op(e0, e0) = e2
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (9324), (9920), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9921) all_58_3 = e3 & op(e2, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (7004), (9859),
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9860), (9921), (function-axioms) are inconsistent
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | by sub-proof #2196.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | (9922) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 234.41/43.87 | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | BETA: splitting (9922) gives:
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9923) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9867), (9923) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | #2138.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | (9924) all_58_13 = e3 & op(e0, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9313), (9924), (function-axioms) are
% 234.41/43.87 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 234.41/43.87 | | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | Case 2:
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | (9925) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | | REF_CLOSE: (8), (9867), (9925) are inconsistent by sub-proof
% 234.41/43.87 | | | | | | | | | | | | | | | #2138.
% 234.41/43.87 | | | | | | | | | | | | | | |
% 234.41/43.87 | | | | | | | | | | | | | | End of split
% 234.41/43.87 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | (9926) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/43.88 | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (9317), (9808), (9926),
% 234.41/43.88 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.88 | | | | | | | | | | | | | | #1909.
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | (9927) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/43.88 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | BETA: splitting (9927) gives:
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | (9928) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | ALPHA: (9928) implies:
% 234.41/43.88 | | | | | | | | | | | | | (9929) op(e1, e1) = e1
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | REF_CLOSE: (4), (9808), (9929), (function-axioms) are
% 234.41/43.88 | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | (9930) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | ALPHA: (9930) implies:
% 234.41/43.88 | | | | | | | | | | | | | (9931) all_58_11 = e1
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | BETA: splitting (228) gives:
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | (9932) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 234.41/43.88 | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (7008), (9859), (9932),
% 234.41/43.88 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.88 | | | | | | | | | | | | | | #1211.
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | (9933) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 234.41/43.88 | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | BETA: splitting (9933) gives:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | (9934) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | ALPHA: (9934) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | (9935) op(e1, e1) = e1
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | REF_CLOSE: (4), (9808), (9935), (function-axioms) are
% 234.41/43.88 | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | (9936) all_58_14 = e1 & op(e0, e1) = e1
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | ALPHA: (9936) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | (9937) all_58_14 = e1
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (117), (123),
% 234.41/43.88 | | | | | | | | | | | | | | | (134), (145), (146), (157), (158), (159), (160),
% 234.41/43.88 | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 234.41/43.88 | | | | | | | | | | | | | | | (170), (197), (198), (202), (213), (216), (218),
% 234.41/43.88 | | | | | | | | | | | | | | | (221), (227), (228), (229), (230), (232), (235),
% 234.41/43.88 | | | | | | | | | | | | | | | (237), (238), (239), (240), (242), (244), (246),
% 234.41/43.88 | | | | | | | | | | | | | | | (269), (270), (281), (7004), (7008), (7010),
% 234.41/43.88 | | | | | | | | | | | | | | | (9311), (9312), (9313), (9314), (9315), (9316),
% 234.41/43.88 | | | | | | | | | | | | | | | (9323), (9324), (9326), (9801), (9802), (9803),
% 234.41/43.88 | | | | | | | | | | | | | | | (9804), (9805), (9806), (9808), (9858), (9859),
% 234.41/43.88 | | | | | | | | | | | | | | | (9860), (9862), (9931), (9937), (function-axioms)
% 234.41/43.88 | | | | | | | | | | | | | | | are inconsistent by sub-proof #1009.
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | (9938) all_14_2 = e0
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | COMBINE_EQS: (344), (9938) imply:
% 234.41/43.88 | | | | | | | | | (9939) all_8_2 = e0
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | COMBINE_EQS: (353), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9940) all_56_11 = e0
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | REDUCE: (366), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9941) ~ (all_52_1 = e0)
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | REDUCE: (369), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9942) ~ (all_52_4 = e0)
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | REDUCE: (373), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9943) ~ (all_52_7 = e0)
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | REDUCE: (375), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9944) ~ (all_52_9 = e0)
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | REDUCE: (377), (9939) imply:
% 234.41/43.88 | | | | | | | | | (9945) ~ (all_52_13 = e0)
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | BETA: splitting (231) gives:
% 234.41/43.88 | | | | | | | | |
% 234.41/43.88 | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | (9946) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 234.41/43.88 | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/43.88 | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | BETA: splitting (9946) gives:
% 234.41/43.88 | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | (9947) all_58_2 = e0 & op(e2, e3) = e0
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | REF_CLOSE: (167), (9941), (9947), (function-axioms) are
% 234.41/43.88 | | | | | | | | | | | inconsistent by sub-proof #1985.
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | (9948) all_58_3 = e0 & op(e2, e2) = e0
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | ALPHA: (9948) implies:
% 234.41/43.88 | | | | | | | | | | | (9949) all_58_3 = e0
% 234.41/43.88 | | | | | | | | | | | (9950) op(e2, e2) = e0
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | BETA: splitting (58) gives:
% 234.41/43.88 | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | (9951) ~ (all_18_2 = e0)
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | REDUCE: (339), (9951) imply:
% 234.41/43.88 | | | | | | | | | | | | (9952) ~ (all_6_2 = e0)
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | BETA: splitting (85) gives:
% 234.41/43.88 | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | (9953) ~ (all_36_2 = e2)
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | REDUCE: (328), (9953) imply:
% 234.41/43.88 | | | | | | | | | | | | | (9954) ~ (all_6_2 = e2)
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.41/43.88 | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | (9955) all_54_10 = e3
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (9955) are inconsistent by sub-proof
% 234.41/43.88 | | | | | | | | | | | | | | #2313.
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | (9956) ~ (all_54_10 = e3)
% 234.41/43.88 | | | | | | | | | | | | | | (9957) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | BETA: splitting (9957) gives:
% 234.41/43.88 | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | (9958) all_54_10 = e2
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | REF_CLOSE: (297), (9954), (9958) are inconsistent by
% 234.41/43.88 | | | | | | | | | | | | | | | sub-proof #2312.
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | (9959) all_54_10 = e1 | all_54_10 = e0
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | BETA: splitting (9959) gives:
% 234.41/43.88 | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | (9960) all_54_10 = e1
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (9960) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9961) all_6_2 = e1
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | SIMP: (9961) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9962) all_6_2 = e1
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (9962) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9963) all_56_21 = e1
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | REDUCE: (383), (9962) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9964) ~ (all_52_11 = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | REDUCE: (385), (9962) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9965) ~ (all_52_14 = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | REDUCE: (391), (9962) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | (9966) ~ (e3 = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | (9967) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.88 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.88 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.88 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.88 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.88 | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | BETA: splitting (9967) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (9968) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | BETA: splitting (9968) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9969) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | e3
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | ALPHA: (9969) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9970) ~ (all_56_31 = e2)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9971) ~ (all_56_21 = e2)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9972) ~ (all_56_11 = e2)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9973) op(e2, e3) = e3
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9974) op(e3, e2) = e3
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | REDUCE: (9940), (9972) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9975) ~ (e2 = e0)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | REDUCE: (9963), (9971) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9976) ~ (e2 = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | (9977) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | BETA: splitting (9977) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | (9978) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (7009), (9978), (function-axioms) are
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | (9979) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | ALPHA: (9979) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | (9980) op(e2, e0) = e1
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | (9981) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (9981) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9982) all_58_12 = e1 & op(e0, e3) = e1
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (7006), (9982), (function-axioms) are
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e2, simplifying with (164), (9980) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9983) all_52_13 = e1
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (9973) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9984) all_52_1 = e3
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (9974) gives:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9985) all_52_4 = e3
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (9984) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9986) ~ (all_52_9 = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9986) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9987) ~ (all_52_9 = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (9985) imply:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9988) ~ (all_52_6 = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (9988) implies:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9989) ~ (all_52_6 = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (160), (162),
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (226), (234), (239), (241), (243),
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (245), (391), (7010), (9316), (9317), (9949),
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | (9987), (9989), (function-axioms) are inconsistent
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1008.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | (9990) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (9323), (9964), (9990),
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | | #1296.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | (9991) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (9323), (9965), (9991),
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | | #1297.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | (9992) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9311), (9963), (9992) are inconsistent by
% 234.41/43.88 | | | | | | | | | | | | | | | | | | | sub-proof #1280.
% 234.41/43.88 | | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (9993) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.88 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.88 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.88 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.88 | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.88 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (7008), (9311), (9312), (9993),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | | | | | | #1411.
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | (9994) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.89 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.89 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.89 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.89 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.89 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | BETA: splitting (9994) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (9995) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.89 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (297), (381), (9940), (9952), (9959),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (9963), (9995), (function-axioms) are inconsistent
% 234.41/43.89 | | | | | | | | | | | | | | | | | | by sub-proof #1279.
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (9996) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.89 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.89 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (9945), (9963), (9965), (9996),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | | | | | | #1250.
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | (9997) all_54_10 = e0
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | REF_CLOSE: (297), (9952), (9997) are inconsistent by
% 234.41/43.89 | | | | | | | | | | | | | | | | sub-proof #2303.
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | (9998) all_36_2 = e2
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | COMBINE_EQS: (328), (9998) imply:
% 234.41/43.89 | | | | | | | | | | | | | (9999) all_6_2 = e2
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | COMBINE_EQS: (266), (9999) imply:
% 234.41/43.89 | | | | | | | | | | | | | (10000) all_56_21 = e2
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | REDUCE: (381), (9999) imply:
% 234.41/43.89 | | | | | | | | | | | | | (10001) ~ (all_52_9 = e2)
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | REF_CLOSE: (159), (164), (165), (169), (213), (7003), (7008),
% 234.41/43.89 | | | | | | | | | | | | | (9311), (9312), (9940), (9945), (10000), (10001),
% 234.41/43.89 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | #1237.
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | (10002) all_18_2 = e0
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | COMBINE_EQS: (339), (10002) imply:
% 234.41/43.89 | | | | | | | | | | | | (10003) all_6_2 = e0
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | SIMP: (10003) implies:
% 234.41/43.89 | | | | | | | | | | | | (10004) all_6_2 = e0
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | COMBINE_EQS: (266), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10005) all_56_21 = e0
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (367), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10006) ~ (all_52_2 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (378), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10007) ~ (all_52_6 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (380), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10008) ~ (all_52_8 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (383), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10009) ~ (all_52_11 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (385), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10010) ~ (all_52_14 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (391), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10011) ~ (e3 = e0)
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | REDUCE: (39), (10004) imply:
% 234.41/43.89 | | | | | | | | | | | | (10012) op(e1, e1) = e0
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | BETA: splitting (239) gives:
% 234.41/43.89 | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | (10013) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 234.41/43.89 | | | | | | | | | | | | | & op(e2, e3) = e0)
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | REF_CLOSE: (4), (167), (7010), (9941), (10013),
% 234.41/43.89 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | #1272.
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | (10014) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 234.41/43.89 | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | BETA: splitting (10014) gives:
% 234.41/43.89 | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | (10015) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | ALPHA: (10015) implies:
% 234.41/43.89 | | | | | | | | | | | | | | (10016) op(e1, e3) = e0
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | REF_CLOSE: (163), (10006), (10016), (function-axioms) are
% 234.41/43.89 | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | (10017) all_58_12 = e0 & op(e0, e3) = e0
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | ALPHA: (10017) implies:
% 234.41/43.89 | | | | | | | | | | | | | | (10018) all_58_12 = e0
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 234.41/43.89 | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | (10019) all_54_14 = e3
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | REF_CLOSE: (255), (9314), (10019) are inconsistent by
% 234.41/43.89 | | | | | | | | | | | | | | | sub-proof #1796.
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | (10020) ~ (all_54_14 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | (10021) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 234.41/43.89 | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | (10022) all_54_13 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | REF_CLOSE: (256), (9313), (10022) are inconsistent by
% 234.41/43.89 | | | | | | | | | | | | | | | | sub-proof #2010.
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | (10023) ~ (all_54_13 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | (10024) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10025) all_54_1 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10025) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10026) all_52_4 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | SIMP: (10026) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10027) all_52_4 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | REDUCE: (136), (10027) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10028) ~ (all_52_6 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | SIMP: (10028) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10029) ~ (all_52_6 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | REDUCE: (134), (10027) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10030) ~ (all_52_8 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | SIMP: (10030) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | (10031) ~ (all_52_8 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (10032) all_54_2 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (10031), (10032) are inconsistent by
% 234.41/43.89 | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (10033) ~ (all_54_2 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | (10034) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | (10035) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | BETA: splitting (10035) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | (10036) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | ALPHA: (10036) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | (10037) all_58_6 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | (10038) op(e1, e3) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10034) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | (10039) all_54_2 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (10039) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | (10040) all_52_8 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | SIMP: (10040) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | (10041) all_52_8 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (10041) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | (10042) ~ (all_52_11 = e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | SIMP: (10042) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | (10043) ~ (all_52_11 = e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10021) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | (10044) all_54_14 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (10044) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | (10045) all_52_11 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10043), (10045) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | (10046) $false
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10046) is inconsistent.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | (10047) all_54_14 = e1 | all_54_14 = e0
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10047) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | (10048) all_54_14 = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (10048) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | (10049) all_52_11 = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (10049) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | (10050) ~ (all_52_9 = e1)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | (10051) all_54_6 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (10051) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | (10052) all_52_9 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10052) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | (10053) all_52_9 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (10053) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | (10054) ~ (all_52_1 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (10053) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | (10055) op(e2, e1) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10056) all_54_4 = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10054), (10056) are inconsistent by
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10057) ~ (all_54_4 = e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | (10058) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10059) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10059) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10060) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (7004), (10060), (function-axioms) are
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10061) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (9949), (10061) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1752.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (10062) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10062) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10063) all_58_5 = e1 & op(e2, e1) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10063) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10064) op(e2, e1) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10050), (10064), (function-axioms) are
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10065) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10065) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10066) op(e2, e0) = e1
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10058) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10067) all_54_4 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (10067) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10068) all_52_1 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10068) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10069) all_52_1 = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10054), (10069) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10070) ~ (e3 = e2)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (10069) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10071) op(e2, e3) = e2
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10072) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10072) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10073) all_56_0 = e3 & op(e3, all_56_1) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10073) implies:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10074) op(e3, all_56_1) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (10074) imply:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10075) op(e3, e1) = e3
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (10031), (10075), (function-axioms) are
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10076) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (167), (243), (245),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (279), (7004), (7010), (9941), (9950), (10018),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10037), (10054), (10058), (10076),
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1040.
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10077) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10077) gives:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10078) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10078) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10079) op(e1, e3) = all_56_5
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10080) op(e1, all_56_5) = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10038), (10079), (10080), (function-axioms)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2243.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10081) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10081) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10082) op(e0, e3) = all_56_7
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10083) op(e0, all_56_7) = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10084) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10084) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10085) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10085) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10086) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10086) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10087) op(e2, e3) = e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10071), (10087), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10088) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (9311), (10031), (10088), (function-axioms)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1317.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10089) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10089) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10090) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10090) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10091) op(e3, e1) = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (7008), (10091), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10092) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10092) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10093) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10093) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10094) op(e0, e3) = e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10082), (10083), (10094), (function-axioms)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2070.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10095) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10095) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10096) ~ (all_56_31 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9311), (10096) imply:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10097) $false
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10097) is inconsistent.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10098) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10098) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10099) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10099) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10100) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10100) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10101) op(e2, e1) = e2
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10055), (10101), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10102) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10102) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10103) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10103) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10104) op(e2, e1) = e1
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10050), (10104), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10105) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10105) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10106) op(e2, e0) = e2
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10066), (10106), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10107) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10107) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10108) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10108) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10109) op(e2, e0) = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (10066), (10109), (function-axioms)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10110) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10005), (10010), (10110),
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1320.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10111) all_54_4 = e1 | all_54_4 = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (7004), (9941), (10111) are inconsistent by
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1922.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | (10112) ~ (all_54_6 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (10112) imply:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | (10113) ~ (all_52_9 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (9314), (10012),
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | (10031), (10113), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | (10114) all_54_14 = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (10114) imply:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | (10115) all_52_11 = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10009), (10115) imply:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | (10116) $false
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10116) is inconsistent.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | (10117) all_54_2 = e1 | all_54_2 = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (7008), (10008), (10117) are inconsistent
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | | by sub-proof #1336.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | (10118) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | ALPHA: (10118) implies:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | (10119) op(e1, e2) = e3
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10029), (10119), (function-axioms) are
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | (10120) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (9317), (10012), (10120),
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.90 | | | | | | | | | | | | | | | | | | | #1909.
% 234.41/43.90 | | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.90 | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.90 | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | (10121) ~ (all_54_1 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | | (10122) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 234.41/43.90 | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | REDUCE: (282), (10121) imply:
% 234.41/43.90 | | | | | | | | | | | | | | | | | (10123) ~ (all_52_4 = e3)
% 234.41/43.90 | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | BETA: splitting (10122) gives:
% 234.41/43.90 | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.90 | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | (10124) all_54_1 = e2
% 234.41/43.90 | | | | | | | | | | | | | | | | | |
% 234.41/43.90 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (10124) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | (10125) all_52_4 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | SIMP: (10125) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | (10126) all_52_4 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | REDUCE: (135), (10126) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | (10127) ~ (all_52_7 = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | SIMP: (10127) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | (10128) ~ (all_52_7 = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | (10129) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (9949), (10123), (10129),
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | #1430.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | (10130) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | BETA: splitting (10130) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | (10131) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | ALPHA: (10131) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | (10132) op(e1, e2) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | (10133) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (7010), (10123), (10133),
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | #1401.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | (10134) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10134) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | (10135) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10135) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | (10136) all_58_4 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (10137) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10137) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (10138) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10138) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10139) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10139) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10140) op(e3, e2) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10123), (10140), (function-axioms) are
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10141) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7003), (9311), (10141) are inconsistent by
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1239.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (10142) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (7008), (9311), (9312), (10142),
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | #1411.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (10143) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10143) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (10144) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10144) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10145) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10145) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10146) ~ (all_56_1 = e1)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7003), (10146) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10147) $false
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10147) is inconsistent.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | (10148) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10148) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (10149) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10149) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (10150) op(e1, e2) = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10024) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10151) all_54_13 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (10128), (10151) are inconsistent by
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2009.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10152) all_54_13 = e1 | all_54_13 = e0
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10152) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10153) all_54_13 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (10153) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10154) all_52_7 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10154) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10155) all_52_7 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10155) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10156) ~ (all_52_6 = e1)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10157) all_54_9 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10157) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10158) all_52_6 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10158) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10159) all_52_6 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10159) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10160) ~ (all_52_2 = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10161) all_54_8 = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10160), (10161) are inconsistent by
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10162) ~ (all_54_8 = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10163) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10163) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10164) all_54_8 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10164) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10165) all_52_2 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10165) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10166) all_52_2 = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10160), (10166) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10167) ~ (e3 = e2)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e2,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (10132), (10150) gives:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10168) e3 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10136), (10168) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10169) all_58_4 = e1
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (7010), (10123), (10169), (function-axioms)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1468.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10170) all_54_8 = e1 | all_54_8 = e0
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (7005), (10006), (10170) are inconsistent
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1950.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10171) ~ (all_54_9 = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (267), (10171) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10172) ~ (all_52_6 = e3)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10132), (10172), (function-axioms) are
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10173) all_54_13 = e0
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (9943), (10173) are inconsistent by
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2008.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (10174) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10174) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (10175) ~ (all_56_21 = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10005), (10175) imply:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (10176) $false
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10176) is inconsistent.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (10177) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (9945), (10005), (10010), (10177),
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | | #1227.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | (10178) all_58_9 = e3 & op(e3, e0) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10178) implies:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | (10179) op(e3, e0) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (9315), (10179), (function-axioms) are
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | (10180) all_58_13 = e3 & op(e0, e2) = e3
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (9313), (10180), (function-axioms) are
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | (10181) all_54_1 = e1 | all_54_1 = e0
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (7007), (9942), (10181) are inconsistent by
% 234.41/43.91 | | | | | | | | | | | | | | | | | | sub-proof #2049.
% 234.41/43.91 | | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | | End of split
% 234.41/43.91 | | | | | | | | | |
% 234.41/43.91 | | | | | | | | | Case 2:
% 234.41/43.91 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | (10182) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 234.41/43.92 | | | | | | | | | | e0 & op(e2, e0) = e0)
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | REF_CLOSE: (164), (165), (9944), (9945), (10182),
% 234.41/43.92 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.92 | | | | | | | | | | #1991.
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | End of split
% 234.41/43.92 | | | | | | | | |
% 234.41/43.92 | | | | | | | | End of split
% 234.41/43.92 | | | | | | | |
% 234.41/43.92 | | | | | | | End of split
% 234.41/43.92 | | | | | | |
% 234.41/43.92 | | | | | | End of split
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | End of split
% 234.41/43.92 | | | | |
% 234.41/43.92 | | | | End of split
% 234.41/43.92 | | | |
% 234.41/43.92 | | | Case 2:
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | (10183) all_8_2 = e3
% 234.41/43.92 | | | | (10184) ( ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 & op(e2, e3) =
% 234.41/43.92 | | | | all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~ (all_8_1 = e0) &
% 234.41/43.92 | | | | op(e2, e3) = all_8_1 & $i(all_8_1))
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | COMBINE_EQS: (320), (10183) imply:
% 234.41/43.92 | | | | (10185) all_42_2 = e3
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | COMBINE_EQS: (353), (10183) imply:
% 234.41/43.92 | | | | (10186) all_56_11 = e3
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (366), (10183) imply:
% 234.41/43.92 | | | | (10187) ~ (all_52_1 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (369), (10183) imply:
% 234.41/43.92 | | | | (10188) ~ (all_52_4 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (371), (10183) imply:
% 234.41/43.92 | | | | (10189) ~ (all_52_6 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (373), (10183) imply:
% 234.41/43.92 | | | | (10190) ~ (all_52_7 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (375), (10183) imply:
% 234.41/43.92 | | | | (10191) ~ (all_52_9 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | REDUCE: (377), (10183) imply:
% 234.41/43.92 | | | | (10192) ~ (all_52_13 = e3)
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | BETA: splitting (234) gives:
% 234.41/43.92 | | | |
% 234.41/43.92 | | | | Case 1:
% 234.41/43.92 | | | | |
% 234.41/43.92 | | | | | (10193) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 & op(e2,
% 234.41/43.92 | | | | | e2) = e3)
% 234.41/43.92 | | | | |
% 234.41/43.92 | | | | | BETA: splitting (10193) gives:
% 234.41/43.92 | | | | |
% 234.41/43.92 | | | | | Case 1:
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | (10194) all_58_2 = e3 & op(e2, e3) = e3
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | ALPHA: (10194) implies:
% 234.41/43.92 | | | | | | (10195) op(e2, e3) = e3
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | REF_CLOSE: (167), (10187), (10195), (function-axioms) are
% 234.41/43.92 | | | | | | inconsistent by sub-proof #2337.
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | Case 2:
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | (10196) all_58_3 = e3 & op(e2, e2) = e3
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | ALPHA: (10196) implies:
% 234.41/43.92 | | | | | | (10197) all_58_3 = e3
% 234.41/43.92 | | | | | | (10198) op(e2, e2) = e3
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | BETA: splitting (46) gives:
% 234.41/43.92 | | | | | |
% 234.41/43.92 | | | | | | Case 1:
% 234.41/43.92 | | | | | | |
% 234.41/43.92 | | | | | | | (10199) ~ (all_10_2 = e1)
% 234.41/43.92 | | | | | | |
% 234.41/43.92 | | | | | | | BETA: splitting (49) gives:
% 234.41/43.92 | | | | | | |
% 234.41/43.92 | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | |
% 234.41/43.92 | | | | | | | | (10200) ~ (all_12_2 = e3)
% 234.41/43.92 | | | | | | | |
% 234.41/43.92 | | | | | | | | REDUCE: (346), (10200) imply:
% 234.41/43.92 | | | | | | | | (10201) ~ (all_4_2 = e3)
% 234.41/43.92 | | | | | | | |
% 234.41/43.92 | | | | | | | | BETA: splitting (55) gives:
% 234.41/43.92 | | | | | | | |
% 234.41/43.92 | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | |
% 234.41/43.92 | | | | | | | | | (10202) ~ (all_16_2 = e0)
% 234.41/43.92 | | | | | | | | |
% 234.41/43.92 | | | | | | | | | REDUCE: (342), (10202) imply:
% 234.41/43.92 | | | | | | | | | (10203) ~ (all_10_2 = e0)
% 234.41/43.92 | | | | | | | | |
% 234.41/43.92 | | | | | | | | | BETA: splitting (58) gives:
% 234.41/43.92 | | | | | | | | |
% 234.41/43.92 | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | (10204) ~ (all_18_2 = e0)
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | REDUCE: (339), (10204) imply:
% 234.41/43.92 | | | | | | | | | | (10205) ~ (all_6_2 = e0)
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | BETA: splitting (61) gives:
% 234.41/43.92 | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | (10206) ~ (all_20_2 = e1)
% 234.41/43.92 | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | REDUCE: (341), (10206) imply:
% 234.41/43.92 | | | | | | | | | | | (10207) ~ (all_4_2 = e1)
% 234.41/43.92 | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | BETA: splitting (189) gives:
% 234.41/43.92 | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | (10208) all_54_15 = e3
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | COMBINE_EQS: (299), (10208) imply:
% 234.41/43.92 | | | | | | | | | | | | (10209) all_4_2 = e3
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | REDUCE: (10201), (10209) imply:
% 234.41/43.92 | | | | | | | | | | | | (10210) $false
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | CLOSE: (10210) is inconsistent.
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | (10211) ~ (all_54_15 = e3)
% 234.41/43.92 | | | | | | | | | | | | (10212) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | BETA: splitting (10212) gives:
% 234.41/43.92 | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | (10213) all_54_15 = e2
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | COMBINE_EQS: (299), (10213) imply:
% 234.41/43.92 | | | | | | | | | | | | | (10214) all_4_2 = e2
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | REDUCE: (390), (10214) imply:
% 234.41/43.92 | | | | | | | | | | | | | (10215) $false
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | CLOSE: (10215) is inconsistent.
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | (10216) ~ (all_54_15 = e2)
% 234.41/43.92 | | | | | | | | | | | | | (10217) all_54_15 = e1 | all_54_15 = e0
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | BETA: splitting (10217) gives:
% 234.41/43.92 | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | (10218) all_54_15 = e1
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | COMBINE_EQS: (299), (10218) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10219) all_4_2 = e1
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (10207), (10219) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10220) $false
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | CLOSE: (10220) is inconsistent.
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | (10221) all_54_15 = e0
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | COMBINE_EQS: (299), (10221) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10222) all_4_2 = e0
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | COMBINE_EQS: (254), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10223) all_56_31 = e0
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (368), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10224) ~ (all_52_3 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (386), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10225) ~ (all_52_11 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (388), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10226) ~ (all_52_13 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (389), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10227) ~ (all_52_14 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (10201), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10228) ~ (e3 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (390), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10229) ~ (e2 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (10207), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10230) ~ (e1 = e0)
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | REDUCE: (36), (10222) imply:
% 234.41/43.92 | | | | | | | | | | | | | | (10231) op(e0, e0) = e0
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/43.92 | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | (10232) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/43.92 | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | ALPHA: (10232) implies:
% 234.41/43.92 | | | | | | | | | | | | | | | (10233) all_58_15 = e0
% 234.41/43.92 | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 234.41/43.92 | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | (10234) ~ (all_24_2 = e2)
% 234.41/43.92 | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | REDUCE: (301), (10234) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | (10235) ~ (all_10_2 = e2)
% 234.41/43.92 | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | (10236) all_54_0 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (10236) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | (10237) all_10_2 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | SIMP: (10237) implies:
% 234.41/43.92 | | | | | | | | | | | | | | | | | (10238) all_10_2 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | REDUCE: (363), (10238) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | (10239) ~ (all_52_8 = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | REDUCE: (365), (10238) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | (10240) ~ (all_52_12 = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | (10241) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (10191), (10239), (10241),
% 234.41/43.92 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.92 | | | | | | | | | | | | | | | | | | #1628.
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | (10242) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | BETA: splitting (10242) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | (10243) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (10243), (function-axioms) are
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | (10244) all_58_14 = e3 & op(e0, e1) = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | ALPHA: (10244) implies:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | (10245) op(e0, e1) = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | (10246) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (168), (10192), (10240), (10246),
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | #1592.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | (10247) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10247) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | (10248) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10248) implies:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | (10249) op(e1, e0) = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (10245) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | (10250) all_52_11 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (10249) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | (10251) all_52_14 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (10251) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | (10252) ~ (all_6_2 = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | (10253) ~ (all_36_2 = e2)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (10253) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | (10254) ~ (all_6_2 = e2)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | (10255) all_54_10 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10255) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | (10256) all_6_2 = e3
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (391), (10256) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | (10257) $false
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10257) is inconsistent.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | (10258) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10258) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | (10259) all_54_10 = e2
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10259) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | (10260) all_6_2 = e2
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10254), (10260) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | (10261) $false
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10261) is inconsistent.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | (10262) all_54_10 = e1 | all_54_10 = e0
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10262) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | (10263) all_54_10 = e1
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10263) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | (10264) all_6_2 = e1
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (10264) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | (10265) all_56_21 = e1
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10264) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | (10266) ~ (all_52_2 = e1)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (10264) imply:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | (10267) ~ (all_52_9 = e1)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (10268) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10268) gives:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10269) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10186), (10187), (10239), (10269),
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1006.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (168), (10224), (10240), (10266),
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10270), (function-axioms) are inconsistent by
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1005.
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (10271) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10271) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10272) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10223), (10265), (10267), (10272),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1733.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10273) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (10223), (10226), (10227), (10273),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10274) all_54_10 = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10274) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10275) all_6_2 = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10205), (10275) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10276) $false
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10276) is inconsistent.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10277) all_36_2 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (10277) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10278) all_6_2 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (10278) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10279) all_56_21 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (10278) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10280) ~ (all_52_9 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (10281) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10281) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (10282) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (169), (10186), (10187), (10239), (10282),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | #1006.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (10283) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (10186), (10224), (10240), (10283),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (10284) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10284) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (10285) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10223), (10279), (10280), (10285),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | #1732.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (10286) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10286) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10287) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10287) implies:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10288) ~ (all_56_21 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10279), (10288) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10289) $false
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10289) is inconsistent.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (10290) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10223), (10227), (10290),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | | #2322.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (10291) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10291) implies:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (10292) op(e0, e0) = e3
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10231), (10292), (function-axioms) are
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | (10293) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (10199), (10203), (10235), (10293) are
% 234.41/43.93 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | (10294) all_24_2 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (10294) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | (10295) all_10_2 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (10295) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | (10296) all_56_1 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | REDUCE: (355), (10295) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | (10297) ~ (all_52_1 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | REDUCE: (45), (10295) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | (10298) op(e3, e3) = e2
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | (10299) ~ (all_36_2 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | REDUCE: (328), (10299) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | (10300) ~ (all_6_2 = e2)
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | (10301) all_54_10 = e3
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (10301) are inconsistent by
% 234.41/43.93 | | | | | | | | | | | | | | | | | | sub-proof #2313.
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | (10302) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | BETA: splitting (10302) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | (10303) all_54_10 = e2
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (10300), (10303) are inconsistent by
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | (10304) all_54_10 = e1 | all_54_10 = e0
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (10304) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10305) all_54_10 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10305) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10306) all_6_2 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | SIMP: (10306) implies:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10307) all_6_2 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (10307) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10308) all_56_21 = e1
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10307) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10309) ~ (all_52_2 = e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (10307) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10310) ~ (all_52_9 = e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (10307) imply:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | (10311) ~ (all_52_14 = e1)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (10312) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10312) gives:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10313) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (10297), (10308), (10313),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | #1003.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (10314) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (10223), (10224), (10309), (10314),
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | | #1002.
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.93 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10315) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10315) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10316) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10223), (10308), (10310), (10316),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | #1733.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10317) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10296), (10308), (10311), (10317),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | #1343.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10318) all_54_10 = e0
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (10205), (10318) are inconsistent by
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10319) all_36_2 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (10319) imply:
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10320) all_6_2 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (10320) imply:
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10321) all_56_21 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | REDUCE: (381), (10320) imply:
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10322) ~ (all_52_9 = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | REDUCE: (391), (10320) imply:
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10323) ~ (e3 = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | REDUCE: (39), (10320) imply:
% 234.41/43.94 | | | | | | | | | | | | | | | | | (10324) op(e1, e1) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | (10325) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | BETA: splitting (10325) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10326) all_58_1 = e2 & op(e3, e2) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | ALPHA: (10326) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10327) all_58_1 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10328) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (125), (139),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (140), (144), (158), (159), (160), (162), (163),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (170), (190), (192),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (213), (216), (219), (220), (221), (222), (223),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (230), (231),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (239), (240), (241), (242),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (243), (245), (246), (255), (257), (10186),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10187), (10188), (10189), (10190), (10191),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10192), (10197), (10198), (10223), (10224),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10225), (10227), (10231), (10233), (10297),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10298), (10321), (10322), (10324), (10328),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | #979.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10329) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10329) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10330) all_58_14 = e2 & op(e0, e1) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10330) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10331) all_58_14 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10332) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (240), (242),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10191), (10298), (10327), (10332),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | #978.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10333) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10324), (10331), (10333), (function-axioms)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2116.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10334) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10334) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10335) all_58_15 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10233), (10335) are inconsistent by
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #1507.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10336) all_58_3 = e2 & op(e2, e2) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | ALPHA: (10336) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10337) op(e2, e2) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (10337), (function-axioms) are
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | (10338) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | BETA: splitting (10338) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10339) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | ALPHA: (10339) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | (10340) all_58_7 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | (10341) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10341) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10342) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10342) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10343) all_58_6 = e0
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | (10344) op(e1, e3) = e0
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | (10345) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10345) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10346) all_58_9 = e2 & op(e3, e0) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10346) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10347) all_58_9 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10348) op(e3, e0) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (242),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (246), (10188), (10298), (10347), (10348),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | #1069.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10349) all_58_10 = e2 & op(e2, e0) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10349) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10350) all_58_10 = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | (10351) op(e2, e0) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (10352) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10352) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | (10353) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10353) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (10354) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10354) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (10355) op(e2, e3) = e3
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (10355), (function-axioms) are
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (10356) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10356) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10357) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10357) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10358) op(e2, e3) = e2
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10297), (10358), (function-axioms) are
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10359) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10359) implies:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10360) ~ (all_56_31 = e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10361) ~ (all_56_21 = e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10362) ~ (all_56_11 = e1)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10363) op(e1, e3) = e3
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10364) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (125), (139),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (144), (158), (159), (160), (162), (163),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (170), (190), (192),
% 234.41/43.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (213), (216), (219), (220), (221), (222), (223),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (230), (231),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (239), (240), (241), (242),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (245), (246), (255), (257), (10186),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10188), (10189), (10190), (10191),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192), (10197), (10198), (10223), (10224),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10225), (10227), (10231), (10233), (10297),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10298), (10321), (10322), (10324), (10364),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #979.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10365) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10365) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10366) all_58_14 = e2 & op(e0, e1) = e2
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10366) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10367) all_58_14 = e2
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10368) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10368) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10369) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10369) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10370) all_58_4 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10371) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10371) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10372) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10372) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10373) all_58_4 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10370), (10373) are inconsistent by
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2186.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10374) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10374) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375) op(e2, e1) = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10376) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10187), (10298), (10376),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10377) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10377) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10378) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10343), (10378) are inconsistent by
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1690.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10379) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10379) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380) all_58_12 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10381) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10381) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10382) all_58_0 = e1 & op(e3, e3) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10382) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10383) op(e3, e3) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10298), (10383), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10384) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10384) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10385) all_58_2 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10386) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (239), (243),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10380), (10385), (10386),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #977.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10387) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10387) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10388) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10388) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10389) op(e1, e1) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10324), (10389), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10390) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10390) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10391) all_58_11 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10392) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10392) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10393) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10393) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394) all_58_9 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10395) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10395) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10396) all_58_12 = e1 & op(e0, e3) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10396) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10397) all_58_12 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (232),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (245), (10187), (10197), (10298), (10351),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375), (10397), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10398) all_58_13 = e1 & op(e0, e2) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10398) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399) all_58_13 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10400) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10400) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10401) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10401) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402) all_58_6 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (10324), (10340), (10391),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10402), (function-axioms) are inconsistent by
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2202.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10403) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10403) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10404) all_58_7 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (10197),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10399), (10404) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1457.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10405) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10405) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (10344) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10406) all_52_2 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (10363) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10407) all_52_2 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10406), (10407) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10408) e3 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10370), (10408) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10409) all_58_4 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10410) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (10188), (10298), (10410),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1959.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10411) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10411) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10370), (10409) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10412) e3 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10391), (10408) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413) all_58_11 = e0
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10414) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10414) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10415) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10415) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10416) all_58_6 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10417) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (10192), (10394), (10417),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1602.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10418) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10418) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10324), (10343),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10413), (function-axioms) are inconsistent by
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10419) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10419) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10420) op(e0, e0) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10231), (10420), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10421) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10421) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10422) op(e1, e2) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (10422), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (10324), (10387), (10413),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1797.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10423) all_58_9 = e3 & op(e3, e0) = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10423) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10424) all_58_9 = e3
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10394), (10424) are inconsistent by
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10425) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10425) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10426) all_58_11 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10391), (10426) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10427) e3 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10427) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10428) e3 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10380), (10428) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10429) all_58_12 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (232),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (245), (10187), (10197), (10298), (10351),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375), (10429), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10430) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10430) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10431) all_58_14 = e1 & op(e0, e1) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10431) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10432) all_58_14 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10367), (10432) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10433) e2 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10433) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10434) e2 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10350), (10434) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10435) all_58_10 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (10233),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10394), (10435) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10436) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10436) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10437) all_58_15 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10438) op(e0, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (10192),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10351), (10394), (10437), (10438),
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10439) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10439) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10440) op(e2, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10351), (10440), (function-axioms) are
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10441) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10441) gives:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10442) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10442) implies:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10443) all_58_11 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10391), (10443) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10444) e3 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10380), (10444) imply:
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10445) all_58_12 = e1
% 234.41/43.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (232),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (245), (10187), (10197), (10298), (10351),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375), (10445), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10446) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10446) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10447) op(e0, e0) = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10231), (10447), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10448) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10448) gives:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10449) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10449) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10450) all_58_6 = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (226),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (10189), (10324), (10340),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10380), (10450), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #970.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10451) all_58_12 = e1 & op(e0, e3) = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10451) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10452) all_58_12 = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (167), (232),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (245), (10187), (10197), (10298), (10351),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10375), (10452), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #972.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10453) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10324), (10367), (10453), (function-axioms)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2113.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10454) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (10454), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10455) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10324), (10367), (10455), (function-axioms)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2116.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10456) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10456) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10457) all_58_15 = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10233), (10457) are inconsistent by
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1507.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10458) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10186), (10223), (10224), (10458),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | #1001.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (10459) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10459) gives:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10460) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10460) gives:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (10461) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10461) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (10462) op(e2, e1) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10322), (10462), (function-axioms) are
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (10463) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10463) gives:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10464) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10464) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10465) ~ (all_56_21 = e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10321), (10465) imply:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10466) $false
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10466) is inconsistent.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10467) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10467) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10468) op(e0, e2) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (121), (125), (139), (140), (144), (158),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (163), (165), (167), (169), (190),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (213), (255), (257), (10186), (10187),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10223), (10224), (10225), (10227), (10297),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10321), (10322), (10351), (10468),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | #999.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (10469) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (10223), (10227), (10351), (10469),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | | #1000.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | (10470) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10470) gives:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | (10471) all_58_11 = e2 & op(e1, e0) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10471) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | (10472) all_58_11 = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10324), (10343),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | (10472), (function-axioms) are inconsistent by
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #997.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | (10473) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10473) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | (10474) all_58_15 = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10233), (10474) are inconsistent by
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1507.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | (10475) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10340), (10475) are inconsistent by
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | (10476) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (160), (10227), (10324), (10476),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | | #1851.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10477) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | ALPHA: (10477) implies:
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10478) all_58_13 = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10479) op(e0, e2) = e2
% 234.41/43.96 | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (125), (139),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (140), (144), (158), (159), (160), (162), (163),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (164), (165), (167), (169), (170), (190), (192),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (213), (216), (219), (220), (221), (222), (223),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (230), (231),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (233), (235), (236), (239), (240), (241), (242),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (243), (246), (255), (257), (10186), (10187),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10188), (10189), (10190), (10191), (10192),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10197), (10198), (10223), (10224), (10225),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10227), (10231), (10233), (10297), (10298),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (10321), (10322), (10324), (10478), (10479),
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.96 | | | | | | | | | | | | | | | | | | | #980.
% 234.41/43.96 | | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | (10480) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/43.96 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/43.96 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/43.96 | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/43.96 | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/43.96 | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (220),
% 234.41/43.96 | | | | | | | | | | | | | | | (221), (222), (10192), (10226), (10227), (10231),
% 234.41/43.96 | | | | | | | | | | | | | | | (10480), (function-axioms) are inconsistent by
% 234.41/43.96 | | | | | | | | | | | | | | | sub-proof #1489.
% 234.41/43.96 | | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | End of split
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | Case 2:
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | (10481) all_20_2 = e1
% 234.41/43.96 | | | | | | | | | | | (10482) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 234.41/43.96 | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 234.41/43.96 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 234.41/43.96 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | COMBINE_EQS: (341), (10481) imply:
% 234.41/43.96 | | | | | | | | | | | (10483) all_4_2 = e1
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | SIMP: (10483) implies:
% 234.41/43.96 | | | | | | | | | | | (10484) all_4_2 = e1
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | COMBINE_EQS: (324), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10485) all_34_2 = e1
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | COMBINE_EQS: (254), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10486) all_56_31 = e1
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | REDUCE: (368), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10487) ~ (all_52_3 = e1)
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | REDUCE: (379), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10488) ~ (all_52_7 = e1)
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | REDUCE: (386), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10489) ~ (all_52_11 = e1)
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | REDUCE: (387), (10484) imply:
% 234.41/43.96 | | | | | | | | | | | (10490) ~ (all_52_12 = e1)
% 234.41/43.96 | | | | | | | | | | |
% 234.41/43.96 | | | | | | | | | | | REDUCE: (388), (10484) imply:
% 234.41/43.97 | | | | | | | | | | | (10491) ~ (all_52_13 = e1)
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | REDUCE: (389), (10484) imply:
% 234.41/43.97 | | | | | | | | | | | (10492) ~ (all_52_14 = e1)
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | REDUCE: (10201), (10484) imply:
% 234.41/43.97 | | | | | | | | | | | (10493) ~ (e3 = e1)
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | REDUCE: (390), (10484) imply:
% 234.41/43.97 | | | | | | | | | | | (10494) ~ (e2 = e1)
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | REDUCE: (36), (10484) imply:
% 234.41/43.97 | | | | | | | | | | | (10495) op(e0, e0) = e1
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | BETA: splitting (220) gives:
% 234.41/43.97 | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | (10496) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 234.41/43.97 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | BETA: splitting (10496) gives:
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | (10497) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | ALPHA: (10497) implies:
% 234.41/43.97 | | | | | | | | | | | | | (10498) all_58_9 = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 234.41/43.97 | | | | | | | | | | | | | (222), (10192), (10495), (10498),
% 234.41/43.97 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.97 | | | | | | | | | | | | | #1600.
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | (10499) all_58_10 = e1 & op(e2, e0) = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | REF_CLOSE: (164), (10491), (10499), (function-axioms) are
% 234.41/43.97 | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | (10500) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 234.41/43.97 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | BETA: splitting (10500) gives:
% 234.41/43.97 | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | (10501) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | ALPHA: (10501) implies:
% 234.41/43.97 | | | | | | | | | | | | | (10502) op(e1, e0) = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | REF_CLOSE: (160), (10492), (10502), (function-axioms) are
% 234.41/43.97 | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | (10503) all_58_15 = e1 & op(e0, e0) = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | ALPHA: (10503) implies:
% 234.41/43.97 | | | | | | | | | | | | | (10504) all_58_15 = e1
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 234.41/43.97 | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | (10505) ~ (all_24_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | REDUCE: (301), (10505) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10506) ~ (all_10_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | (10507) all_54_0 = e3
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (10507) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | (10508) all_10_2 = e3
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | SIMP: (10508) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | (10509) all_10_2 = e3
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | REDUCE: (365), (10509) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | (10510) ~ (all_52_12 = e3)
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | REDUCE: (45), (10509) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | (10511) op(e3, e3) = e3
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | (10512) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | BETA: splitting (10512) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10513) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | ALPHA: (10513) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10514) all_58_6 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (10515) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.41/43.97 | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (239), (241),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (243), (10190), (10514), (10515),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.97 | | | | | | | | | | | | | | | | | | #1138.
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (10516) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.41/43.97 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | BETA: splitting (10516) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10517) all_58_14 = e3 & op(e0, e1) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | ALPHA: (10517) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10518) all_58_14 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (164),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (168), (216), (218), (222), (223), (224), (225),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (226), (235), (237), (239), (241), (243), (10189),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10192), (10197), (10492), (10495), (10504),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10510), (10511), (10514), (10518),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | #959.
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10519) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | ALPHA: (10519) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10520) all_58_15 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10504), (10520) are inconsistent by
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10521) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | ALPHA: (10521) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10522) op(e1, e2) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (10522), (function-axioms) are
% 234.41/43.97 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | (10523) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/43.97 | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | BETA: splitting (10523) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10524) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (10524), (function-axioms) are
% 234.41/43.97 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10525) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | ALPHA: (10525) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10526) all_58_11 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10527) op(e1, e0) = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (227), (230),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (232), (240), (242), (244), (269), (280), (391),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10190), (10191), (10197), (10198), (10205),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10482), (10485), (10486), (10490), (10491),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10492), (10495), (10504), (10511), (10526),
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10527), (function-axioms) are inconsistent by
% 234.41/43.97 | | | | | | | | | | | | | | | | | sub-proof #950.
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | (10528) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | REF_CLOSE: (292), (10199), (10203), (10506), (10528) are
% 234.41/43.97 | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | End of split
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | (10529) all_24_2 = e2
% 234.41/43.97 | | | | | | | | | | | | | | (10530) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 234.41/43.97 | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 234.41/43.97 | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 234.41/43.97 | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | COMBINE_EQS: (301), (10529) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10531) all_10_2 = e2
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | SIMP: (10531) implies:
% 234.41/43.97 | | | | | | | | | | | | | | (10532) all_10_2 = e2
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | COMBINE_EQS: (348), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10533) all_32_2 = e2
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | COMBINE_EQS: (290), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10534) all_56_1 = e2
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | REDUCE: (355), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10535) ~ (all_52_1 = e2)
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | REDUCE: (357), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10536) ~ (all_52_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | REDUCE: (361), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10537) ~ (all_52_4 = e2)
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | REDUCE: (45), (10532) imply:
% 234.41/43.97 | | | | | | | | | | | | | | (10538) op(e3, e3) = e2
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 234.41/43.97 | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | (10539) ~ (all_32_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | REDUCE: (10533), (10539) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | (10540) $false
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | CLOSE: (10540) is inconsistent.
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | (10541) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 234.41/43.97 | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 234.41/43.97 | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 234.41/43.97 | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 234.41/43.97 | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | (10542) ~ (all_36_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | REDUCE: (328), (10542) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | (10543) ~ (all_6_2 = e2)
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10544) all_54_10 = e3
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (10544) are inconsistent by
% 234.41/43.97 | | | | | | | | | | | | | | | | | sub-proof #2313.
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10545) ~ (all_54_10 = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | | | (10546) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | BETA: splitting (10546) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (10547) all_54_10 = e2
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (10543), (10547) are inconsistent by
% 234.41/43.97 | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (10548) ~ (all_54_10 = e2)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | (10549) all_54_10 = e1 | all_54_10 = e0
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | BETA: splitting (10549) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10550) all_54_10 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (10550) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10551) all_6_2 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | SIMP: (10551) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10552) all_6_2 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | REDUCE: (367), (10552) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10553) ~ (all_52_2 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | REDUCE: (381), (10552) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10554) ~ (all_52_9 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | REDUCE: (39), (10552) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | (10555) op(e1, e1) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | (10556) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10556) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | (10557) all_58_1 = e1 & op(e3, e2) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10557) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | (10558) all_58_1 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | (10559) op(e3, e2) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | (10560) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10560) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | (10561) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10561) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | (10562) all_58_2 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | (10563) op(e2, e3) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | (10564) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (163), (235),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10198), (10553), (10558),
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | (10564), (function-axioms) are inconsistent by
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #949.
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | (10565) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10565) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10566) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10566) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10567) all_58_8 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (10563) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10568) all_52_1 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e1,
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (10559) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10569) all_52_4 = e1
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (10568) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10570) ~ (all_52_2 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (10569) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10571) ~ (all_52_6 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10571) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10572) ~ (all_52_6 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (10569) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | (10573) ~ (all_52_7 = e1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (10574) ~ (all_42_2 = e3)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (10574) imply:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (10575) $false
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (10575) is inconsistent.
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (10576) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10576) gives:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10577) ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0 &
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10577) implies:
% 234.41/43.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10578) ~ (all_42_0 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10579) op(e2, e3) = all_42_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10580) op(all_42_1, e2) = all_42_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10541) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10581) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10581) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10582) ~ (all_32_0 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10583) op(e3, e2) = all_32_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10584) op(all_32_1, e3) = all_32_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10530) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10585) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10585) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586) ~ (all_24_0 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) op(e3, e2) = all_24_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10588) op(all_24_1, e3) = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10589) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10589) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) op(e2, e3) = all_8_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10591) op(all_8_1, e2) = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10563), (10579) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10592) all_42_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10579),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10590) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10593) all_42_1 = all_8_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10559), (10583) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10594) all_32_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10583),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10587) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10595) all_32_1 = all_24_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10592), (10593) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10596) all_8_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10594), (10595) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10597) all_24_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10597) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10598) all_24_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10580), (10592) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10599) op(e1, e2) = all_42_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10584), (10594) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10600) op(e1, e3) = all_32_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10588), (10598) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10601) op(e1, e3) = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10591), (10596) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10602) op(e1, e2) = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e2, e1, simplifying with (162), (10602)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10603) all_52_6 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e2, e1, simplifying with (162), (10599)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10604) all_52_6 = all_42_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e3, e1, simplifying with (163), (10601)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10605) all_52_2 = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_0, e3, e1, simplifying with (163), (10600)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10606) all_52_2 = all_32_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10605), (10606) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10607) all_32_0 = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10603), (10604) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10608) all_42_0 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10608) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10609) all_42_0 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10603) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10610) all_54_9 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10605) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10611) all_54_8 = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10603), (10605) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10612) ~ (all_24_0 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (10605) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10613) ~ (all_52_14 = all_24_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10613) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614) ~ (all_52_14 = all_24_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10536), (10605) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10615) ~ (all_24_0 = e2)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10603) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10616) ~ (all_52_7 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10616) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617) ~ (all_52_7 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10189), (10603) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10618) ~ (all_8_0 = e3)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10572), (10603) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10619) ~ (all_8_0 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10578), (10609) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10620) ~ (all_8_0 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10582), (10607) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621) ~ (all_24_0 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10622) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10622) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10623) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (160), (162), (196), (226), (391),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10586), (10611), (10614), (10615),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621), (10623), (function-axioms) are
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #947.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10624) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10624) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10625) all_58_7 = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (158), (191), (195), (237), (256),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10198), (10488), (10558), (10610),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10617), (10618), (10619), (10620), (10625),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #943.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10626) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10626) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10627) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (297), (10205), (10549), (10627),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #942.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10628) all_58_11 = e0 & op(e1, e0) = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10628) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10629) all_58_11 = e0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (39), (158), (160), (162),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (195), (196), (218), (219), (225), (226),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (256), (391), (10189),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10488), (10504), (10538), (10562),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567), (10586), (10610), (10611), (10612),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10614), (10615), (10617), (10619), (10620),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10621), (10629), (function-axioms) are
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #939.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10630) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10630) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10631) ~ (all_8_1 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10632) op(e2, e3) = all_8_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (128), (141), (143),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (191), (195), (196),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (223), (225), (226), (237), (239),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (256), (267), (268), (297), (391),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10198), (10205), (10488),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10536), (10538), (10549), (10553),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558), (10559), (10562), (10563), (10567),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572), (10578), (10579), (10580), (10583),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10586), (10587), (10588), (10631), (10632),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #936.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10633) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10633) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10634) ~ (all_24_1 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10635) op(e3, e2) = all_24_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10559), (10583), (10634), (10635),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2239.
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10636) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10636) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10637) ~ (all_32_1 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10638) op(e3, e2) = all_32_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10530) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10639) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10639) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640) ~ (all_24_0 = e0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) op(e3, e2) = all_24_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10642) op(all_24_1, e3) = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10643) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10643) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) op(e2, e3) = all_8_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10645) op(all_8_1, e2) = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_42_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (10563), (10579) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10646) all_42_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (10579),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10644) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10647) all_42_1 = all_8_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_32_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (10559), (10638) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10648) all_32_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (10638),
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10641) gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10649) all_32_1 = all_24_1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10646), (10647) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10650) all_8_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10648), (10649) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10651) all_24_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10651) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10652) all_24_1 = e1
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10580), (10646) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10653) op(e1, e2) = all_42_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10642), (10652) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10654) op(e1, e3) = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10645), (10650) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10655) op(e1, e2) = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_0, e2, e1, simplifying with (162), (10655)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10656) all_52_6 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_0, e2, e1, simplifying with (162), (10653)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10657) all_52_6 = all_42_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_24_0, e3, e1, simplifying with (163), (10654)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10658) all_52_2 = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10656), (10657) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10659) all_42_0 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10659) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10660) all_42_0 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (10656) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10661) all_54_9 = all_8_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (10658) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10662) all_54_8 = all_24_0
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (10656), (10658) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10663) ~ (all_24_0 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (10658) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10664) ~ (all_52_14 = all_24_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10664) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665) ~ (all_52_14 = all_24_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10536), (10658) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10666) ~ (all_24_0 = e2)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10553), (10658) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667) ~ (all_24_0 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (10656) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10668) ~ (all_52_7 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10668) implies:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669) ~ (all_52_7 = all_8_0)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10189), (10656) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10670) ~ (all_8_0 = e3)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10572), (10656) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10671) ~ (all_8_0 = e1)
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10578), (10660) imply:
% 234.41/43.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672) ~ (all_8_0 = e0)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10673) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10673) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10674) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (160), (162), (196), (226), (391),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10640), (10662), (10665), (10666),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10667), (10674), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #947.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10675) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10675) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10676) all_58_7 = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (158), (191), (195), (237), (256),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10198), (10488), (10558), (10661),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10669), (10670), (10671), (10672), (10676),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #943.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10677) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10677) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10678) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (297), (10205), (10549), (10678),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #942.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10679) all_58_11 = e0 & op(e1, e0) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10679) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10680) all_58_11 = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (39), (158), (160), (162),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (191), (195), (196), (218), (219), (225), (226),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (256), (391), (10189),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10488), (10504), (10538), (10562),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10567), (10640), (10661), (10662), (10663),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10665), (10666), (10667), (10669), (10671),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10672), (10680), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #939.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10681) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10681) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10682) ~ (all_8_1 = e0)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10683) op(e2, e3) = all_8_1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (39), (128), (141), (143),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (191), (195), (196),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (223), (225), (226), (237), (239),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (241), (243), (256), (267), (268), (297), (391),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10198), (10205), (10488),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10536), (10538), (10549), (10553),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10558), (10559), (10562), (10563), (10567),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10572), (10578), (10579), (10580), (10638),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10640), (10641), (10642), (10682), (10683),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #936.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10684) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10684) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10685) ~ (all_24_1 = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10686) op(e3, e2) = all_24_1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10559), (10638), (10685), (10686),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2239.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10687) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10687) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10688) ~ (all_42_1 = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10689) op(e2, e3) = all_42_1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10184), (10563), (10688), (10689),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #934.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10690) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10690) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10691) op(e1, e0) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10492), (10691), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | (10692) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (10692) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | (10693) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10491), (10554), (10693),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | #2234.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | (10694) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (10694) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | (10695) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (10695) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | (10696) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10696) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | (10697) all_58_7 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | (10698) op(e1, e2) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | (10699) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10699) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | (10700) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10700) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | (10701) all_58_2 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | (10702) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10702) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10703) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10703) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10704) all_58_6 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10705) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (10189), (10704), (10705),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | #933.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10706) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10706) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10707) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (10707), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10708) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10708) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10709) all_58_11 = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (39), (162), (223), (297), (10205),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549), (10698), (10704), (10709),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #932.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10710) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10710) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10711) all_58_7 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10697), (10711) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | (10712) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10712) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10713) all_58_8 = e2 & op(e1, e1) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10713) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | (10714) op(e1, e1) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10715) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (165), (167),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (230), (235), (236), (239),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (245), (10187), (10190),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (10197), (10198), (10488), (10504),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10538), (10714), (10715), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (10716) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10716) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10717) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10717) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10718) all_58_7 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10697), (10718) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10719) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10719) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10720) all_58_13 = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10721) op(e0, e2) = e2
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10722) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (162), (235), (10197),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538), (10698), (10721), (10722),
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10723) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10723) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10724) all_58_4 = e1 & op(e3, e1) = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10724) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725) all_58_4 = e1
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10726) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10726) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10727) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10727) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10728) all_58_4 = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10725), (10728) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10729) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (10729), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10730) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10730) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10731) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10731) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10732) op(e1, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10714), (10732), (function-axioms) are
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10733) all_58_14 = e3 & op(e0, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10733) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10734) op(e0, e1) = e3
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10735) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10735) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10736) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10725), (10736) are inconsistent by
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1473.
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10737) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10737) implies:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10738) op(e2, e1) = e0
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/43.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10739) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10739) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10740) op(e0, e0) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (10740), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10741) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10741) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10742) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10743) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10187), (10538), (10743),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10744) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10744) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10745) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10745) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10746) all_58_6 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (216),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (225), (226), (229), (235), (237),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10197), (10495), (10504),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555), (10697), (10698), (10720), (10721),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10725), (10738), (10746), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10747) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10747) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10748) all_58_12 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10742) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10749) all_58_12 = e0 & op(e0, e3) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10748), (10749) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1641.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10750) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10721), (10734), (10750),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1635.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (297), (10205), (10549), (10734),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10751), (function-axioms) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #926.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10752) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10752) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10753) all_58_9 = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (10192), (10495), (10504), (10753),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1601.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10754) all_58_11 = e2 & op(e1, e0) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10754) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | (10755) all_58_11 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10756) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10756) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10757) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10757) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10758) all_58_6 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10759) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10759) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10760) all_58_1 = e2 & op(e3, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10760) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761) all_58_1 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10762) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10538), (10701), (10762),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10763) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10763) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10764) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10758), (10764) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2213.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10765) all_58_12 = e0 & op(e0, e3) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10765) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10766) all_58_12 = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (218),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (235), (10190), (10197), (10504), (10698),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10761), (10766), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #925.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10767) all_58_3 = e2 & op(e2, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10767) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10768) op(e2, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (10768), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10769) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10769) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10770) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10770) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10771) all_58_7 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10697), (10771) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10772) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10772) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10773) all_58_13 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774) op(e0, e2) = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10775) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10775) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10776) all_58_9 = e3 & op(e3, e0) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10776) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10777) all_58_9 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10778) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (162), (235), (10197),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10538), (10698), (10774), (10778),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #928.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10779) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10779) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10780) all_58_4 = e1 & op(e3, e1) = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10780) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10781) all_58_4 = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10782) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10782) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10783) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10781), (10783) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1474.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10784) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (10784), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10785) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10785) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10786) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (10786), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10787) all_58_14 = e3 & op(e0, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10787) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10788) op(e0, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10789) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10789) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10790) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10790) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10791) all_58_4 = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10781), (10791) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1710.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10792) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10792) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10793) op(e2, e1) = e0
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (162), (216),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (223), (225), (226), (229), (235), (237),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10197), (10495), (10504),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10555), (10697), (10698), (10758), (10773),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10774), (10781), (10793), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #927.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (297), (10205), (10549), (10788),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10794), (function-axioms) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #926.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10795) all_58_9 = e1 & op(e3, e0) = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10795) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10796) all_58_9 = e1
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10777), (10796) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1709.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10797) all_58_10 = e3 & op(e2, e0) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10797) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10798) op(e2, e0) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10192), (10798), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10799) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10799) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10800) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10800) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10801) all_58_11 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10755), (10801) imply:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10802) e3 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (10802) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10803) e3 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10758), (10803) imply:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10804) all_58_6 = e2
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (39), (162), (223), (297), (10205),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10549), (10698), (10801), (10804),
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #932.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10805) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10805) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10806) all_58_15 = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10504), (10806) are inconsistent by
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10807) all_58_7 = e3 & op(e1, e2) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10807) implies:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10808) op(e1, e2) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (10808), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (10809) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10809) gives:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10810) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (391), (10810), (function-axioms) are
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 234.41/44.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10811) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10811) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10812) all_58_11 = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10755), (10812) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2030.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10813) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (10813) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | (10814) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (10491), (10554), (10814),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | #2234.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | (10815) all_58_13 = e1 & op(e0, e2) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10488), (10815), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | (10816) all_54_10 = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (10205), (10816) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | (10817) all_36_2 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (10817) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10818) all_6_2 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (10818) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10819) all_40_2 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (10818) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10820) all_56_21 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | REDUCE: (380), (10818) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10821) ~ (all_52_8 = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | REDUCE: (391), (10818) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10822) ~ (e3 = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | REDUCE: (39), (10818) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | (10823) op(e1, e1) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | (10824) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | BETA: splitting (10824) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | (10825) all_58_9 = e2 & op(e3, e0) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | ALPHA: (10825) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | (10826) all_58_9 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | (10827) op(e3, e0) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | (10828) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (10828) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10829) all_58_9 = e3 & op(e3, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (10829) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10830) op(e3, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10827), (10830), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10831) all_58_10 = e3 & op(e2, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (10831) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10832) op(e2, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (10192), (10832), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | (10833) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | BETA: splitting (10833) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10834) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | ALPHA: (10834) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10835) all_58_11 = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | (10836) op(e1, e0) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | (10837) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10837) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | (10838) op(e0, e0) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (10838), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | (10839) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | ALPHA: (10839) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | (10840) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | (10841) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10841) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10842) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10842) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10843) all_58_6 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10844) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (227), (230),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (232), (240), (242), (244), (269), (280), (391),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10190), (10191), (10197), (10198),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10205), (10482), (10485), (10486), (10490),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10491), (10492), (10495), (10504), (10835),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10836), (10844), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #924.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10845) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10845) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10846) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10843), (10846) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1838.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10847) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (216), (218),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (240), (242), (10191), (10504), (10538),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10826), (10847), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #922.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10848) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10848) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10849) all_58_7 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10850) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10850) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10851) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10851) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10852) all_58_6 = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (10823), (10835), (10849),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10852), (function-axioms) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2202.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10853) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10853) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10854) all_58_7 = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10849), (10854) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10855) e2 = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10826), (10855) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10856) all_58_9 = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (10495),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10835), (10856), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10857) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10857) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10858) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10858) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10859) op(e1, e1) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (10860) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10860) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10861) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10861) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10862) all_58_6 = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10863) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (227), (230),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (240), (242), (244), (269), (280), (391),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10190), (10191), (10197), (10198),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205), (10482), (10485), (10486), (10490),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491), (10492), (10495), (10504), (10835),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10836), (10863), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #924.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10864) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10864) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10865) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10865) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10866) all_58_6 = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10862), (10866) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10867) e3 = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10835), (10867) imply:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868) all_58_11 = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10823), (10862),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10868), (function-axioms) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10869) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (216), (218),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (240), (242), (10191), (10504), (10538),
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10826), (10869), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #922.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10870) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10849), (10870) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (10871) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10871) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10872) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10872) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10873) op(e1, e1) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10859), (10873), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10874) all_58_11 = e0 & op(e1, e0) = e0
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10835), (10874) are inconsistent by
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2204.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10875) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10875) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | (10876) op(e1, e0) = e1
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10492), (10876), (function-axioms) are
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | (10877) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10877) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10878) all_58_8 = e2 & op(e1, e1) = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10878) implies:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | (10879) all_58_8 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | (10880) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/44.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10198), (10535), (10880),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | #998.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10881) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10881) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10882) all_58_5 = e2 & op(e2, e1) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10882) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10883) all_58_5 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10884) op(e2, e1) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10885) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10885) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10886) all_58_4 = e1 & op(e3, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10886) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10887) all_58_4 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10888) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10888) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10889) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10887), (10889) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1473.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10890) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10890) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10891) op(e2, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10884), (10891), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10892) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10892) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10893) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10893) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10894) op(e1, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10823), (10894), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10895) all_58_14 = e0 & op(e0, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10895) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10896) op(e0, e1) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10897) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (240), (242),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (10538), (10826), (10897),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #923.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10898) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (10823), (10896), (10898),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1595.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10899) all_58_5 = e1 & op(e2, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10899) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10900) all_58_5 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10883), (10900) imply:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10901) e2 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10826), (10901) imply:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10902) all_58_9 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (10495),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10835), (10902), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10903) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10903) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10904) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10904) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10905) all_58_8 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10879), (10905) imply:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10906) e2 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10826), (10906) imply:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10907) all_58_9 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (10495),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10835), (10907), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10908) all_58_14 = e1 & op(e0, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10908) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10909) all_58_14 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10910) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (165), (240), (242),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (10538), (10826), (10910),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #923.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10911) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10823), (10909), (10911),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1249.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10912) all_58_10 = e2 & op(e2, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10912) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10913) op(e2, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10840) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10914) all_58_9 = e0 & op(e3, e0) = e0
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10826), (10914) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1563.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10915) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10835), (10913), (10915),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | #1743.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | (10916) all_58_11 = e2 & op(e1, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10835), (10916) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1741.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | (10917) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (10917) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | (10918) all_58_15 = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10504), (10918) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | (10919) all_58_10 = e2 & op(e2, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | ALPHA: (10919) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | (10920) all_58_10 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | (10921) op(e2, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (10922) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (165), (167),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (216), (218), (219), (230), (235), (236), (239),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (240), (241), (242), (245), (10187), (10190),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (10191), (10197), (10198), (10488), (10504),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (10538), (10823), (10922), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #929.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | (10923) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (10923) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | (10924) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | ALPHA: (10924) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | (10925) all_58_7 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | (10926) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10926) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | (10927) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10927) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | (10928) all_58_6 = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | (10929) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10929) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10930) all_58_12 = e2 & op(e0, e3) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (167), (216),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (239), (241), (245), (10187),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10504), (10538), (10930),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | #931.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10931) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10931) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10932) all_58_13 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10933) op(e0, e2) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (235), (236),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10488), (10925), (10932),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10933), (function-axioms) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #921.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | (10934) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10934) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10935) all_58_14 = e2 & op(e0, e1) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10935) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10936) all_58_14 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10937) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10937) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10938) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10938) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10939) all_58_12 = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (226),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (241), (243), (10189), (10823), (10925),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10928), (10939), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #970.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (10940) all_58_13 = e3 & op(e0, e2) = e3
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (10940), (function-axioms) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | (10941) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10504), (10936), (10941) are
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1638.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10942) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10942) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10943) all_58_15 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10504), (10943) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2231.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | (10944) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10925), (10944) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2224.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | (10945) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10945) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | (10946) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10946) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | (10947) op(e1, e1) = e1
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | (10948) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10948) gives:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10949) all_58_12 = e2 & op(e0, e3) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (167), (216),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (239), (241), (245), (10187),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10504), (10538), (10949),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | #931.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10950) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10950) implies:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10951) all_58_13 = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10952) op(e0, e2) = e2
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (235), (236),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10488), (10925), (10951),
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | (10952), (function-axioms) are inconsistent by
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #921.
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.02 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | (10953) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10953) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10954) all_58_14 = e2 & op(e0, e1) = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10954) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10955) all_58_14 = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10956) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10956) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10957) all_58_1 = e1 & op(e3, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10957) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10958) all_58_1 = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10959) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10959) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10960) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10960) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961) all_58_12 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10962) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10962) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10963) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10963) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10964) all_58_4 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10965) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10965) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10966) op(e0, e0) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (10966), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10967) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10967) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10968) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10969) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10969) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10970) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10964), (10970) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10971) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10971) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10972) op(e2, e1) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (226), (232), (239), (240), (243),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10192), (10197), (10504), (10538),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10920), (10921), (10947), (10958),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10961), (10964), (10968), (10972),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10973) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10947), (10955), (10973),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1286.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10974) all_58_5 = e3 & op(e2, e1) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (10974), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10975) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (218), (10504),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10961), (10975), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #930.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10976) all_58_13 = e3 & op(e0, e2) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (10976), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10977) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (10504), (10955), (10977) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1638.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10978) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (10978) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10979) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10979) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10980) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10925), (10980) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2224.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10981) all_58_13 = e1 & op(e0, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10488), (10981), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10982) all_58_15 = e2 & op(e0, e0) = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10982) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10983) all_58_15 = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10504), (10983) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2231.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | (10984) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10984) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | (10985) op(e1, e0) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10492), (10985), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | (10986) all_58_13 = e2 & op(e0, e2) = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | ALPHA: (10986) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | (10987) all_58_13 = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | (10988) op(e0, e2) = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | (10989) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10989) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | (10990) all_58_6 = e2 & op(e1, e3) = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10990) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | (10991) all_58_6 = e2
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | (10992) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (162), (10189), (10991), (10992),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | #933.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | (10993) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10993) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10994) all_58_8 = e3 & op(e1, e1) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10994) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10995) op(e1, e1) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10823), (10995), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10996) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (10996) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10997) all_58_11 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | (10998) op(e1, e0) = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | (10999) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10999) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11000) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10991), (11000) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1423.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11001) all_58_7 = e1 & op(e1, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11001) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11002) op(e1, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (162), (223), (226), (10189),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10991), (11002), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #917.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | (11003) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11003) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11004) all_58_8 = e1 & op(e1, e1) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11004) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (11005) op(e1, e1) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11006) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11006) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11007) all_58_6 = e0 & op(e1, e3) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10991), (11007) are inconsistent by
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1678.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11008) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11008) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11009) op(e1, e2) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11010) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11010) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11011) all_58_1 = e1 & op(e3, e2) = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11011) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11012) all_58_1 = e1
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11013) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11013) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11014) op(e0, e0) = e0
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (11014), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11015) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11015) implies:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11017) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (227), (230),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (240), (242), (244), (269), (280), (391),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10190), (10191), (10197), (10198),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10205), (10482), (10485), (10486), (10490),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10491), (10492), (10495), (10504), (10997),
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10998), (11017), (function-axioms) are
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #924.
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11018) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11018) gives:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11019) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11019) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020) all_58_6 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10991), (11020) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11021) e3 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10997), (11021) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11022) all_58_11 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (216), (221), (222), (223),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (230), (231), (232),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (236), (240), (10189), (10191), (10192),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (10488), (10491), (10492),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495), (10504), (10535), (10538), (10823),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11020), (11022), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #911.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11023) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11023) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11024) all_58_12 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11025) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11025) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11026) all_58_0 = e1 & op(e3, e3) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11026) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11027) op(e3, e3) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11027), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11028) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11028) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11029) all_58_2 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11030) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11030) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11031) all_58_2 = e0 & op(e2, e3) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11031) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11032) all_58_2 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11029), (11032) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1268.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11033) all_58_3 = e0 & op(e2, e2) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11033) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11034) all_58_3 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10197), (11034) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11035) e3 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10997), (11035) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036) all_58_11 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10823), (10991),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11036), (function-axioms) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #967.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11037) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11037) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11038) all_58_5 = e0 & op(e2, e1) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11038) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11039) op(e2, e1) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11040) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11040) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11041) all_58_0 = e3 & op(e3, e3) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11041) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042) op(e3, e3) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (227), (230),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (240), (242), (244), (269), (280), (391),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10197), (10198), (10205),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10482), (10485), (10486), (10490), (10491),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492), (10495), (10504), (10997), (10998),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11042), (function-axioms) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #950.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11043) all_58_1 = e3 & op(e3, e2) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11043) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11044) op(e3, e2) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10188), (11044), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11045) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11045) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11046) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11046) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11047) all_58_4 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (226), (232), (239), (240), (243),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10189), (10192), (10197), (10504), (10538),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10920), (10921), (11005), (11012),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11016), (11024), (11039), (11047),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #918.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11048) all_58_9 = e3 & op(e3, e0) = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (10921), (10997), (11016), (11048),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #920.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11049) all_58_10 = e0 & op(e2, e0) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11049) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11050) op(e2, e0) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10921), (11050), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11051) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11051) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11052) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11052) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11053) all_58_6 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10991), (11053) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11054) e2 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11054) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11055) e2 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10920), (11055) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11056) all_58_10 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (11016), (11056), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #910.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11057) all_58_12 = e1 & op(e0, e3) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11057) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11058) all_58_12 = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11024), (11058) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1542.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11059) all_58_3 = e1 & op(e2, e2) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (11059) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11060) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (158), (162), (10488), (11009), (11060),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1840.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11061) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11061) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11062) all_58_8 = e0 & op(e1, e1) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11062) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11063) op(e1, e1) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11005), (11063), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11064) all_58_11 = e0 & op(e1, e0) = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11064) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065) all_58_11 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10823), (10991),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11065), (function-axioms) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #967.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (11066) all_58_11 = e1 & op(e1, e0) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11066) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (11067) op(e1, e0) = e1
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (10492), (11067), (function-axioms) are
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11068) all_58_7 = e2 & op(e1, e2) = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11068) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11069) all_58_7 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (235), (236),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10488), (10987), (10988),
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11069), (function-axioms) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | sub-proof #921.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | (11070) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11070) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11071) all_58_8 = e2 & op(e1, e1) = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11071) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11072) all_58_8 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (10988) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11073) all_52_7 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (10921) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11074) all_52_13 = e2
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11073) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11075) ~ (all_52_3 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11073) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11076) ~ (all_52_6 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11073) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11077) ~ (all_52_11 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11077) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11078) ~ (all_52_11 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (11074) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11079) ~ (all_52_9 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (11074) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11080) ~ (all_52_14 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11080) implies:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | (11081) ~ (all_52_14 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | (11082) ~ (all_40_2 = e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10819), (11082) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | (11083) $false
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11083) is inconsistent.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | (11084) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | (11085) ~ (all_42_2 = e3)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (11085) imply:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | (11086) $false
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11086) is inconsistent.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | (11087) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | (11088) all_54_1 = e3
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (10188), (11088) are inconsistent by
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | (11089) ~ (all_54_1 = e3)
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | (11090) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.04 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11091) all_54_12 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (11091) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11092) all_52_3 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11092) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11093) all_52_3 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (11093) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11094) ~ (all_52_2 = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11093) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11095) ~ (all_52_11 = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11095) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (11096) ~ (all_52_11 = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11097) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11097) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11098) all_58_4 = e3 & op(e3, e1) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11098) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11099) all_58_4 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11100) all_54_14 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (11100) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11101) all_52_11 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11096), (11101) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11102) $false
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11102) is inconsistent.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11103) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11104) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10187), (10538), (11104),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11105) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11105) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11106) all_58_6 = e3 & op(e1, e3) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11106) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107) all_58_6 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11108) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11108) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11109) all_58_0 = e1 & op(e3, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11109) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11110) op(e3, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11110), (function-axioms) are
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11111) all_58_1 = e1 & op(e3, e2) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11111) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11112) all_58_1 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11113) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10538), (11112), (11113),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11114) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11114) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11115) all_58_4 = e0 & op(e3, e1) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11099), (11115) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11116) all_58_9 = e0 & op(e3, e0) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11116) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11117) all_58_9 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11118) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11118) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11119) all_58_0 = e1 & op(e3, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11119) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11120) op(e3, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11120), (function-axioms) are
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11121) all_58_2 = e1 & op(e2, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11121) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11122) all_58_2 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11123) all_58_15 = e0 & op(e0, e0) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11123) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11124) op(e0, e0) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (11124), (function-axioms) are
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11125) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11125) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11126) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (232), (239), (240), (242), (243), (244),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (269), (280), (10187), (10190), (10192),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (10205), (10482), (10485),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486), (10490), (10491), (10492), (10495),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10538), (10823), (10920), (10921),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072), (11099), (11107), (11122), (11126),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11127) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11127) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11128) all_58_6 = e1 & op(e1, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11107), (11128) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11129) all_58_12 = e1 & op(e0, e3) = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11129) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11130) all_58_12 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11131) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (164), (10192), (11117), (11131),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1062.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11132) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11132) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11133) all_58_11 = e3 & op(e1, e0) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11133) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11134) all_58_11 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11135) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11135) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11136) all_58_1 = e0 & op(e3, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11112), (11136) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1720.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11137) all_58_3 = e0 & op(e2, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11137) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11138) all_58_3 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10197), (11138) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11139) e3 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11134), (11139) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11140) all_58_11 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11107), (11139) imply:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141) all_58_6 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10823), (11140),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11141), (function-axioms) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11142) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11142) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11143) all_58_7 = e0 & op(e1, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11143) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11144) all_58_7 = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11145) op(e1, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11146) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (239), (241),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (10190), (11107), (11146),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1138.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11147) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11147) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11148) all_58_14 = e3 & op(e0, e1) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11148) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149) all_58_14 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (216),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (224), (225), (226), (235), (237), (10189),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10492), (10495), (10987), (10988),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11107), (11130), (11134), (11144), (11145),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11149), (function-axioms) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #962.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11150) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11150) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11151) all_58_15 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10504), (11151) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11152) all_58_13 = e0 & op(e0, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11152) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11153) op(e0, e2) = e0
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (158), (191), (255), (256), (10190),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488), (10489), (11078), (11103), (11153),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11154) all_58_15 = e3 & op(e0, e0) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11154) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11155) all_58_15 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10504), (11155) are inconsistent by
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11156) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (10192),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495), (10504), (10921), (11099), (11156),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #907.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11157) all_58_12 = e3 & op(e0, e3) = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11157) implies:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11158) all_58_12 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11159) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (239), (241),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (243), (10189), (11158), (11159),
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1530.
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 234.41/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11160) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11160) gives:
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11161) all_58_8 = e3 & op(e1, e1) = e3
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11161) implies:
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11162) op(e1, e1) = e3
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10823), (11162), (function-axioms) are
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11163) all_58_11 = e3 & op(e1, e0) = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11163) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11164) all_58_11 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11165) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11165) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11166) all_58_0 = e1 & op(e3, e3) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11166) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11167) op(e3, e3) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11167), (function-axioms) are
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11168) all_58_1 = e1 & op(e3, e2) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11168) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11169) all_58_1 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11170) op(e3, e2) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11171) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (10538), (11169), (11171),
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11172) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11172) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11173) all_58_4 = e0 & op(e3, e1) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11099), (11173) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11174) all_58_9 = e0 & op(e3, e0) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11174) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175) all_58_9 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11176) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11176) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11177) all_58_1 = e0 & op(e3, e2) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11169), (11177) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1720.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11178) all_58_3 = e0 & op(e2, e2) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (11178) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11179) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11179) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11180) all_58_7 = e0 & op(e1, e2) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11180) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11181) op(e1, e2) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11103) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11182) all_54_14 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (11182) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11183) all_52_11 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11078), (11183) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11184) $false
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11184) is inconsistent.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11185) all_54_14 = e1 | all_54_14 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11185) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11186) all_54_14 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (11186) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11187) all_52_11 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10489), (11187) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11188) $false
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11188) is inconsistent.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11189) all_54_14 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (11189) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11190) all_52_11 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11190) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11191) ~ (all_52_8 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (11190) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11192) ~ (all_52_9 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (11190) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193) op(e0, e1) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11194) all_54_6 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10191), (11194) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11195) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11195) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11196) all_54_6 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11079), (11196) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11197) all_54_6 = e1 | all_54_6 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11197) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11198) all_54_6 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (11198) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11199) all_52_9 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11199) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11200) all_52_9 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (11200) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11201) ~ (all_52_1 = e1)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (11200) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11202) ~ (all_52_8 = e1)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (11200) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11203) op(e2, e1) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11204) all_54_4 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10187), (11204) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11205) ~ (all_54_4 = e3)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11206) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11206) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11207) all_54_4 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10535), (11207) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2096.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11208) ~ (all_54_4 = e2)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11209) all_54_4 = e1 | all_54_4 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11209) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11210) all_54_4 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (11201), (11210) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2086.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11211) all_54_4 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11211) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11212) all_52_1 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11212) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11213) all_52_1 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11213) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11214) ~ (all_52_2 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11214) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11215) ~ (all_52_2 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10535), (11213) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11216) ~ (e2 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11201), (11213) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11217) ~ (e1 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11213) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11218) op(e2, e3) = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11219) all_54_8 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11094), (11219) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11220) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11221) all_54_2 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11221) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11222) all_52_8 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11222) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11223) all_52_8 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (11223) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11224) ~ (all_52_12 = e3)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11224) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11225) ~ (all_52_12 = e3)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (169), (11223) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11226) op(e3, e1) = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11227) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11227) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11228) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11228) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11229) op(e3, e1) = all_56_17
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11230) op(e3, all_56_17) = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10538), (11226), (11229), (11230),
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11231) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11231) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) op(e2, e1) = all_56_19
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11233) op(e2, all_56_19) = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11220) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11234) all_54_8 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10536), (11234) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11235) all_54_8 = e1 | all_54_8 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11235) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11236) all_54_8 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11236) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11237) all_52_2 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11237) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11238) all_52_2 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11238) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11239) ~ (all_52_6 = e1)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11239) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11240) ~ (all_52_6 = e1)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11241) all_54_9 = e3
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (10189), (11241) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11242) ~ (all_54_9 = e3)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11243) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11243) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11244) all_54_9 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11076), (11244) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1954.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11245) ~ (all_54_9 = e2)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11246) all_54_9 = e1 | all_54_9 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11246) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11247) all_54_9 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11240), (11247) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2055.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11248) all_54_9 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11248) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11249) all_52_6 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11249) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11250) all_52_6 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11250) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11251) ~ (all_52_4 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10189), (11250) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11252) ~ (e3 = e0)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11090) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11253) all_54_1 = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (10537), (11253) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1928.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11254) ~ (all_54_1 = e2)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11255) all_54_1 = e1 | all_54_1 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11255) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11256) all_54_1 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (11256) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11257) all_52_4 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11257) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11258) all_52_4 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (11203),
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11232) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11259) all_56_19 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11233), (11259) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11260) op(e2, e1) = e2
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (11203), (11260) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11261) e2 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10920), (11261) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11262) all_58_10 = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (10504),
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11175), (11262) are inconsistent by sub-proof
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1618.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11263) all_54_1 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (11251), (11263) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2050.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11264) all_54_8 = e0
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (11215), (11264) are inconsistent by
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2006.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11265) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11265) gives:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11266) all_56_20 = e1 & op(e1, all_56_21) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11266) implies:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11267) op(e1, all_56_21) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10820), (11267) imply:
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11268) op(e1, e2) = e1
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (11181), (11268), (function-axioms)
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 235.04/44.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11269) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11269) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11270) op(e0, e1) = all_56_23
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11271) op(e0, all_56_23) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11272) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11272) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273) op(e2, e3) = all_8_1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11087) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11274) ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0 &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11274) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11275) op(e2, e3) = all_42_1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (125), (158), (160), (162), (167),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (212), (213), (255), (256), (10186),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10190), (10486), (10488), (10489),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492), (10495), (10530), (10541), (10820),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921), (11084), (11170), (11181), (11185),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193), (11218), (11225), (11270), (11271),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273), (11275), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #899.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11276) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11276) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11277) op(e2, e3) = all_42_1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (125), (158), (160), (162), (167),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (191), (212), (213), (255), (256), (10186),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10190), (10486), (10488), (10489),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10492), (10495), (10530), (10541), (10820),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10921), (11084), (11170), (11181), (11185),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11193), (11218), (11225), (11270), (11271),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11273), (11277), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #899.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11278) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11278) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11279) ~ (all_8_1 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11280) op(e2, e3) = all_8_1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11087), (11218), (11279), (11280),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #897.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11281) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (10821), (11191), (11202), (11281) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11282) all_54_6 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (11192), (11282) are inconsistent by
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2245.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11283) all_58_13 = e0 & op(e0, e2) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11283) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11284) op(e0, e2) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (158), (191), (255), (256), (10190),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10488), (10489), (11078), (11103), (11284),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11285) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11285) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11286) all_58_4 = e1 & op(e3, e1) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11099), (11286) are inconsistent by
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11287) all_58_9 = e1 & op(e3, e0) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11287) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11288) all_58_9 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (10495),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (11164), (11288), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1740.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11289) all_58_5 = e3 & op(e2, e1) = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (11289), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11290) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (157), (10823), (11096), (11290),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1307.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (11291) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11291) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11292) all_54_12 = e2
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (11075), (11292) are inconsistent by
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11293) ~ (all_54_12 = e2)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11294) all_54_12 = e1 | all_54_12 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11295) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10187), (10538), (11295),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1404.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11296) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11296) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11297) all_58_6 = e3 & op(e1, e3) = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11297) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11298) all_58_6 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11299) op(e1, e3) = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11294) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11300) all_54_12 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (11300) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11301) all_52_3 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10487), (11301) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11302) $false
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11302) is inconsistent.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11303) all_54_12 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (11303) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11304) all_52_3 = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11305) ~ (all_52_1 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11306) ~ (all_52_2 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11307) ~ (all_52_11 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11307) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11308) ~ (all_52_11 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11075), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11309) ~ (e2 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10487), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11310) ~ (e1 = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (11304) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11311) op(e0, e3) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11312) all_54_14 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (11312) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11313) all_52_11 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (11313) imply:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11314) op(e0, e1) = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11315) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (170), (10188), (10538), (11315),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1959.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11316) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11316) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11317) all_58_4 = e3 & op(e3, e1) = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11317) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11318) all_58_4 = e3
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11319) all_58_15 = e0 & op(e0, e0) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11319) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11320) op(e0, e0) = e0
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (11320), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11321) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11321) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11322) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11323) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11324) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11324) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11325) all_58_0 = e1 & op(e3, e3) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11325) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11326) op(e3, e3) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11326), (function-axioms) are
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11327) all_58_2 = e1 & op(e2, e3) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11327) implies:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11328) all_58_2 = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (232), (239), (240), (242), (243), (244),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (269), (280), (10187), (10190), (10192),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (10205), (10482), (10485),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10486), (10490), (10491), (10492), (10495),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10504), (10538), (10823), (10920), (10921),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11072), (11298), (11318), (11323), (11328),
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #906.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11329) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11329) gives:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11330) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11298), (11330) are inconsistent by
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11331) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11331) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11332) all_58_12 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (10988), (11314), (11322), (11332),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #896.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11333) all_58_9 = e3 & op(e3, e0) = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11333) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11334) all_58_9 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11335) all_54_4 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10187), (11335) are inconsistent by
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11336) ~ (all_54_4 = e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11337) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11338) all_58_15 = e0 & op(e0, e0) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11338) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11339) op(e0, e0) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10495), (11339), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11340) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11340) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11341) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11342) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11343) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11343) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11344) all_58_0 = e1 & op(e3, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11344) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11345) op(e3, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10538), (11345), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11346) all_58_2 = e1 & op(e2, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11346) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11347) all_58_2 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11348) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11348) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11349) all_58_2 = e0 & op(e2, e3) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11347), (11349) are inconsistent by
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1972.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11350) all_58_3 = e0 & op(e2, e2) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11350) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11351) all_58_3 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10197), (11351) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11352) e3 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11334), (11352) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11353) all_58_9 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (82), (110),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (112), (113), (149), (157), (158), (160), (163),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (168), (197), (201), (210),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (216), (218), (219), (221), (222), (223), (224),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (232), (239), (242), (243), (244), (245),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (280), (10187), (10190), (10192), (10197),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (10205), (10482), (10485), (10486),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10490), (10491), (10492), (10495), (10504),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10823), (10920), (10921), (11072), (11298),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11342), (11347), (11353), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #908.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11354) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11354) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11355) all_58_5 = e0 & op(e2, e1) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11355) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11356) op(e2, e1) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11337) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11357) all_54_4 = e2
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10535), (11357) are inconsistent by
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2096.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11358) all_54_4 = e1 | all_54_4 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11358) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11359) all_54_4 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (11359) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11360) all_52_1 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11360) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11361) all_52_1 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (11361) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11362) ~ (all_52_2 = e1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11362) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11363) ~ (all_52_2 = e1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (11361) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11364) op(e2, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11365) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11365) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11366) all_56_0 = e3 & op(e3, all_56_1) = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11366) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11367) op(e3, all_56_1) = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10534), (11367) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11368) op(e3, e2) = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10188), (11368), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11369) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11369) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370) op(e2, e3) = all_56_3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11371) op(e2, all_56_3) = e2
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11372) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11372) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11373) op(e2, e3) = all_8_1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (141), (143), (193), (195), (196), (258),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (268), (10492), (10536), (11076), (11081),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087), (11306), (11356), (11363), (11364),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370), (11371), (11373), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #895.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11374) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11374) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11375) op(e2, e3) = all_8_1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (141), (143), (193), (195), (196), (258),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (267), (268), (10492), (10536), (11076), (11081),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11087), (11306), (11356), (11363), (11364),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11370), (11371), (11375), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #895.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11376) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11376) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11377) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11377) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11378) op(e1, e3) = all_56_5
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11379) op(e1, all_56_5) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11299), (11378), (11379), (function-axioms)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2243.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11380) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11380) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381) op(e0, e3) = all_56_7
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11382) op(e0, all_56_7) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11383) all_54_8 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (11383) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11384) all_52_2 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11384) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11385) all_52_2 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11385) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11386) ~ (all_52_6 = e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (11385) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11387) ~ (all_52_14 = e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11387) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11388) ~ (all_52_14 = e3)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11389) all_54_11 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11389) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11390) all_52_14 = e3
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11388), (11390) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11391) $false
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11391) is inconsistent.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11392) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11392) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11393) all_54_11 = e2
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (11081), (11393) are inconsistent by
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2177.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11394) all_54_11 = e1 | all_54_11 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11394) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11395) all_54_11 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11395) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11396) all_52_14 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10492), (11396) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11397) $false
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11397) is inconsistent.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11398) all_54_11 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (11398) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11399) all_52_14 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11399) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11400) ~ (all_52_6 = e0)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (195), (267), (10189), (10495), (11076), (11311),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11381), (11382), (11400), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1952.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11401) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (10536), (11306), (11363), (11401) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11402) all_54_4 = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (11305), (11402) are inconsistent by
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1923.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11403) all_58_10 = e0 & op(e2, e0) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11403) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11404) op(e2, e0) = e0
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10921), (11404), (function-axioms) are
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11405) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11405) gives:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11406) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11406) implies:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11407) all_58_6 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11298), (11407) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11408) e3 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11334), (11408) imply:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11409) all_58_9 = e1
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (10192),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495), (10504), (10921), (11409),
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #971.
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11410) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11410) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11411) all_58_12 = e1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (10988), (11314), (11341), (11411),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #896.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11412) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (10489), (11078), (11308), (11412) are
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1798.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11413) all_58_12 = e3 & op(e0, e3) = e3
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11413) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11414) all_58_12 = e3
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11294) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11415) all_54_12 = e1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (11415) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11416) all_52_3 = e1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10487), (11416) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11417) $false
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (11417) is inconsistent.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11418) all_54_12 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (11418) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11419) all_52_3 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (11419) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11420) ~ (all_52_11 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11420) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11421) ~ (all_52_11 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11075), (11419) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11422) ~ (e2 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10487), (11419) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11423) ~ (e1 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (157), (190), (216), (255), (10489),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10495), (10988), (11078), (11414), (11421),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1078.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11424) all_58_11 = e2 & op(e1, e0) = e2
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (164), (165), (167), (216), (221), (222), (223),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (230), (231), (232),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (233), (236), (240), (10189), (10191), (10192),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (10488), (10491), (10492),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (10495), (10504), (10535), (10538), (10823),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11424), (function-axioms) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | sub-proof #894.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | (11425) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.04/44.09 | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | BETA: splitting (11425) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (11426) all_58_11 = e2 & op(e1, e0) = e2
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (160), (162),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (164), (165), (167), (216), (221), (222), (223),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (230), (231), (232),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (233), (236), (240), (10189), (10191), (10192),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (10197), (10198), (10488), (10491), (10492),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (10495), (10504), (10535), (10538), (10823),
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (11426), (function-axioms) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | | | | | | | sub-proof #894.
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (11427) all_58_15 = e2 & op(e0, e0) = e2
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | ALPHA: (11427) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (11428) all_58_15 = e2
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (10504), (11428) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | | | | | | | sub-proof #2231.
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | End of split
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | (11429) all_18_2 = e0
% 235.04/44.09 | | | | | | | | | | (11430) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0
% 235.04/44.09 | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 235.04/44.09 | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 235.04/44.09 | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | COMBINE_EQS: (339), (11429) imply:
% 235.04/44.09 | | | | | | | | | | (11431) all_6_2 = e0
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | COMBINE_EQS: (332), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11432) all_28_2 = e0
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | COMBINE_EQS: (266), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11433) all_56_21 = e0
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | REDUCE: (380), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11434) ~ (all_52_8 = e0)
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | REDUCE: (385), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11435) ~ (all_52_14 = e0)
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | REDUCE: (391), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11436) ~ (e3 = e0)
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | REDUCE: (39), (11431) imply:
% 235.04/44.09 | | | | | | | | | | (11437) op(e1, e1) = e0
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | BETA: splitting (61) gives:
% 235.04/44.09 | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | (11438) ~ (all_20_2 = e1)
% 235.04/44.09 | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | REDUCE: (341), (11438) imply:
% 235.04/44.09 | | | | | | | | | | | (11439) ~ (all_4_2 = e1)
% 235.04/44.09 | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | BETA: splitting (189) gives:
% 235.04/44.09 | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | (11440) all_54_15 = e3
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | REF_CLOSE: (299), (10201), (11440) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | sub-proof #2340.
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | (11441) ~ (all_54_15 = e3)
% 235.04/44.09 | | | | | | | | | | | | (11442) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | BETA: splitting (11442) gives:
% 235.04/44.09 | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | (11443) all_54_15 = e2
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | REF_CLOSE: (299), (390), (11443) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | | sub-proof #2339.
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | (11444) ~ (all_54_15 = e2)
% 235.04/44.09 | | | | | | | | | | | | | (11445) all_54_15 = e1 | all_54_15 = e0
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | BETA: splitting (11445) gives:
% 235.04/44.09 | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | (11446) all_54_15 = e1
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REF_CLOSE: (299), (11439), (11446) are inconsistent by
% 235.04/44.09 | | | | | | | | | | | | | | sub-proof #2338.
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | (11447) all_54_15 = e0
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | COMBINE_EQS: (299), (11447) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11448) all_4_2 = e0
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | SIMP: (11448) implies:
% 235.04/44.09 | | | | | | | | | | | | | | (11449) all_4_2 = e0
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | COMBINE_EQS: (254), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11450) all_56_31 = e0
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (368), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11451) ~ (all_52_3 = e0)
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (386), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11452) ~ (all_52_11 = e0)
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (388), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11453) ~ (all_52_13 = e0)
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (390), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11454) ~ (e2 = e0)
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (11439), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11455) ~ (e1 = e0)
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | REDUCE: (36), (11449) imply:
% 235.04/44.09 | | | | | | | | | | | | | | (11456) op(e0, e0) = e0
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 235.04/44.09 | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | (11457) all_58_15 = e0 & op(e0, e0) = e0
% 235.04/44.09 | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | ALPHA: (11457) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | (11458) all_58_15 = e0
% 235.04/44.09 | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 235.04/44.09 | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | (11459) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | BETA: splitting (11459) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | (11460) all_58_0 = e0 & op(e3, e3) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (10203), (11460), (function-axioms) are
% 235.04/44.09 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | (11461) all_58_1 = e0 & op(e3, e2) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | ALPHA: (11461) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | (11462) all_58_1 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | (11463) op(e3, e2) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | (11464) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | BETA: splitting (11464) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11465) all_58_0 = e0 & op(e3, e3) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (10203), (11465), (function-axioms) are
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11466) all_58_2 = e0 & op(e2, e3) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | ALPHA: (11466) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11467) all_58_2 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11468) op(e2, e3) = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (11468) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11469) all_52_1 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (11463) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11470) all_52_4 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (11469) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11471) ~ (all_52_3 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (145), (11469) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11472) ~ (all_52_13 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (136), (11470) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11473) ~ (all_52_6 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | SIMP: (11473) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11474) ~ (all_52_6 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (135), (11470) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11475) ~ (all_52_7 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | SIMP: (11475) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11476) ~ (all_52_7 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (134), (11470) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11477) ~ (all_52_8 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | REDUCE: (361), (11470) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | (11478) ~ (all_10_2 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | (11479) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | ALPHA: (11479) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | (11480) ~ (all_8_0 = e1)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | (11481) op(e2, e3) = all_8_1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | (11482) op(all_8_1, e2) = all_8_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | (11483) ~ (all_42_2 = e3)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (11483) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | (11484) $false
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11484) is inconsistent.
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | (11485) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_1,
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (11468), (11481) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | (11486) all_8_1 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11482), (11486) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | (11487) op(e0, e2) = all_8_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11485) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11488) ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0 &
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11488) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11489) ~ (all_42_0 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11490) op(e2, e3) = all_42_1
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11491) op(all_42_1, e2) = all_42_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | all_8_0, e2, e0, simplifying with (158), (11487)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11492) all_52_7 = all_8_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (11468), (11490) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11493) all_42_1 = e0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11494) all_54_13 = all_8_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11495) ~ (all_52_3 = all_8_0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11496) ~ (all_52_6 = all_8_0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11497) ~ (all_52_11 = all_8_0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11497) implies:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11498) ~ (all_52_11 = all_8_0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10190), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11499) ~ (all_8_0 = e3)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11476), (11492) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11500) ~ (all_8_0 = e0)
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11491), (11493) imply:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | (11501) op(e0, e2) = all_42_0
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | | (11502) all_54_13 = e3
% 235.04/44.09 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11494), (11499), (11502) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #893.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | (11503) ~ (all_54_13 = e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | (11504) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11504) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11505) all_54_13 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11494), (11505) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11506) all_8_0 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11506) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11507) all_8_0 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11495), (11507) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11508) ~ (all_52_3 = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11496), (11507) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11509) ~ (all_52_6 = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11498), (11507) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11510) ~ (all_52_11 = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11499), (11507) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11511) ~ (e3 = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11487), (11507) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | (11512) op(e0, e2) = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | (11513) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (10197), (11462), (11513) are
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #892.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | (11514) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11514) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11515) all_58_7 = e1 & op(e1, e2) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11515) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (11516) all_58_7 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11517) all_54_9 = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (10189), (11517) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11518) ~ (all_54_9 = e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11519) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11520) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (235), (10197), (10198),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11512), (11516), (11520), (function-axioms) are
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #891.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11521) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11521) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11522) all_58_7 = e2 & op(e1, e2) = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11522) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11523) all_58_7 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11516), (11523) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11524) all_58_13 = e2 & op(e0, e2) = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11524) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11525) all_58_13 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11519) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11526) all_54_9 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11509), (11526) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1954.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11527) all_54_9 = e1 | all_54_9 = e0
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11527) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11528) all_54_9 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11528) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11529) all_52_6 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11529) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11530) all_52_6 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11530) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11531) ~ (all_52_2 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11530) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11532) ~ (all_52_14 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11532) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11533) ~ (all_52_14 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10189), (11530) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11534) ~ (e3 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (11530) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535) op(e1, e2) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11536) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11536) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11537) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11537) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11538) op(e3, e2) = all_56_9
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11539) op(e3, all_56_9) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11540) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (10199), (11467), (11540),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #890.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11541) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11541) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11542) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11542) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11543) op(e1, e3) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11531), (11543), (function-axioms) are
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11544) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11544) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11545) all_58_12 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11546) op(e0, e3) = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11547) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11547) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11548) all_58_12 = e3 & op(e0, e3) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11545), (11548) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11549) all_58_13 = e3 & op(e0, e2) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (11549), (function-axioms) are
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11550) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11550) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11551) all_58_14 = e3 & op(e0, e1) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11551) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11552) all_58_14 = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11553) op(e0, e1) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11553) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11554) all_52_11 = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_42_0,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (11501), (11512) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11555) all_42_0 = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11546) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11556) all_52_3 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_9,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (11463), (11538) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11557) all_56_9 = e0
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (11556) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11558) ~ (all_10_2 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11554) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11559) ~ (all_52_8 = e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11539), (11557) imply:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11560) op(e3, e0) = e3
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (121), (125), (139), (140), (144), (158),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (167), (169), (190), (192), (255),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (10184), (10187), (11450), (11451),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452), (11468), (11490), (11512), (11531),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11561), (function-axioms) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #888.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11562) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11562) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11563) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11563) gives:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11564) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11564) implies:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11565) ~ (all_56_31 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11566) ~ (all_56_11 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11567) ~ (all_56_1 = e1)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568) op(e1, e2) = e2
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (45), (73), (79), (123),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (202), (204), (216), (217), (218), (219),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (224), (225), (229), (231),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (242), (243),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (281), (292), (348), (363), (365), (10187),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10192), (10197), (10199), (10203),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432), (11434), (11437), (11456), (11458),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467), (11512), (11525), (11531), (11533),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11535), (11545), (11552), (11559), (11560),
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11568), (function-axioms) are inconsistent by
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #886.
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11569) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.04/44.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (204), (290), (292), (365), (10199),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203), (11450), (11560), (11569),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11570) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11435), (11453), (11533), (11570),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11571) all_58_15 = e3 & op(e0, e0) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11571) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11572) op(e0, e0) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11456), (11572), (function-axioms) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11573) all_56_10 = e2 & op(e2, all_56_11) = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10184), (10186), (11468), (11490), (11573),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #884.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11574) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11574) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11575) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11575) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11576) op(e1, e2) = all_56_13
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577) op(e1, all_56_13) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (159), (163), (241), (10199), (11437),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451), (11467), (11531), (11535), (11576),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11577), (function-axioms) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #883.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11578) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11578) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) op(e0, e2) = all_56_15
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11580) op(e0, all_56_15) = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11581) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (10199), (11467), (11581),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #890.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11582) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11582) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11583) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11583) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11584) op(e1, e3) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11531), (11584), (function-axioms) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11585) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11585) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11586) all_58_12 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11587) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11587) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11588) all_58_12 = e3 & op(e0, e3) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11586), (11588) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11589) all_58_13 = e3 & op(e0, e2) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (11589), (function-axioms) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11590) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11590) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11591) all_58_14 = e3 & op(e0, e1) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11591) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11592) op(e0, e1) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11585) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11593) op(e0, e3) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11592) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11594) all_52_11 = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_42_0,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (11501),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11595) all_56_15 = all_42_0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (11512),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11579) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11596) all_56_15 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11593) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11597) all_52_3 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11595), (11596) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11598) all_42_0 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11508), (11597) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11599) ~ (e2 = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11580), (11596) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600) op(e0, e2) = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (10198), (11462), (11516),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11600), (function-axioms) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #882.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11601) all_58_15 = e3 & op(e0, e0) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11601) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11602) op(e0, e0) = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11456), (11602), (function-axioms) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11603) all_54_9 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11474), (11603) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1953.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11604) all_58_13 = e1 & op(e0, e2) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11604) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11605) all_58_13 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (126), (143), (160), (163), (195),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (235), (237), (267), (10189), (10197),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11437), (11474), (11509), (11605),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | #881.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11606) all_54_13 = e1 | all_54_13 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11480), (11494), (11500), (11606) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #880.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11607) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11607) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11608) ~ (all_42_1 = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11609) op(e2, e3) = all_42_1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | all_8_0, e2, e0, simplifying with (158), (11487)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11610) all_52_7 = all_8_0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (11468), (11609) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11611) all_42_1 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11612) all_54_13 = all_8_0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11613) ~ (all_52_3 = all_8_0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11614) ~ (all_52_6 = all_8_0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11615) ~ (all_52_11 = all_8_0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | SIMP: (11615) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11616) ~ (all_52_11 = all_8_0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10190), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11617) ~ (all_8_0 = e3)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11476), (11610) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | (11618) ~ (all_8_0 = e0)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | (11619) all_54_13 = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11612), (11617), (11619) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #893.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | (11620) ~ (all_54_13 = e3)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | (11621) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11621) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11622) all_54_13 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11612), (11622) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11623) all_8_0 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11623) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11624) all_8_0 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11613), (11624) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11625) ~ (all_52_3 = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11614), (11624) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11626) ~ (all_52_6 = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11616), (11624) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11627) ~ (all_52_11 = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11617), (11624) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11628) ~ (e3 = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11487), (11624) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | (11629) op(e0, e2) = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | (11630) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (10197), (11462), (11630) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #892.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | (11631) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11631) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11632) all_58_7 = e1 & op(e1, e2) = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11632) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (11633) all_58_7 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11634) all_54_9 = e3
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (10189), (11634) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11635) ~ (all_54_9 = e3)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11636) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11637) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (9), (235), (10197), (10198),
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11629), (11633), (11637), (function-axioms) are
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #891.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11638) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11638) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11639) all_58_7 = e2 & op(e1, e2) = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11639) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11640) all_58_7 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11633), (11640) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11641) all_58_13 = e2 & op(e0, e2) = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11641) implies:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11642) all_58_13 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11636) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11643) all_54_9 = e2
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11626), (11643) are inconsistent by
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1954.
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11644) ~ (all_54_9 = e2)
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11645) all_54_9 = e1 | all_54_9 = e0
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11645) gives:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11646) all_54_9 = e1
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (11646) imply:
% 235.04/44.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11647) all_52_6 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11647) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11648) all_52_6 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (11648) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11649) ~ (all_52_2 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (11648) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11650) ~ (all_52_14 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11650) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11651) ~ (all_52_14 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10189), (11648) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11652) ~ (e3 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11626), (11648) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11653) ~ (e2 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (11648) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654) op(e1, e2) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11655) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11655) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11656) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11656) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11657) op(e3, e2) = all_56_9
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11658) op(e3, all_56_9) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11659) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (10184), (10199), (11608), (11609), (11659),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #879.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11660) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11660) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11661) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11661) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11662) op(e1, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11649), (11662), (function-axioms) are
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11663) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11663) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11664) all_58_12 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11665) op(e0, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11666) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11666) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11667) all_58_12 = e3 & op(e0, e3) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11664), (11667) are inconsistent by
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11668) all_58_13 = e3 & op(e0, e2) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (11668), (function-axioms) are
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11669) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11669) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11670) all_58_14 = e3 & op(e0, e1) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11670) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11671) all_58_14 = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11672) op(e0, e1) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11672) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11673) all_52_11 = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11665) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11674) all_52_3 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_56_9,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (11463), (11657) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11675) all_56_9 = e0
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (11674) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11676) ~ (all_10_2 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (11673) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11677) ~ (all_52_8 = e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11658), (11675) imply:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11678) op(e3, e0) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (121), (125), (139), (140), (144), (158),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (163), (167), (169), (190), (192), (255),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (257), (10184), (10187), (11450), (11451),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11452), (11468), (11609), (11629), (11649),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11679), (function-axioms) are inconsistent by
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #888.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11680) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11680) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11681) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11681) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11682) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11682) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683) op(e1, e2) = e2
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (9), (45), (73), (79), (123),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (162), (163), (164), (165), (167),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (202), (204), (216), (217), (218), (219),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (224), (225), (229), (231),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (242), (243),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (281), (292), (348), (363), (365), (10187),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10192), (10197), (10199), (10203),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11432), (11434), (11437), (11456), (11458),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11467), (11629), (11642), (11649), (11651),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11654), (11664), (11671), (11677), (11678),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11683), (function-axioms) are inconsistent by
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #886.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11684) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (204), (290), (292), (365), (10199),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10203), (11450), (11678), (11684),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #885.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11685) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (11435), (11453), (11651), (11685),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1903.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11686) all_58_15 = e3 & op(e0, e0) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11686) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11687) op(e0, e0) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11456), (11687), (function-axioms) are
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11688) all_56_10 = e2 & op(e2, all_56_11) = e2
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10184), (10186), (11468), (11609), (11688),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #884.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11689) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11689) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11690) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11690) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11691) op(e1, e2) = all_56_13
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692) op(e1, all_56_13) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (45), (159), (163), (241), (10199), (11437),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11451), (11467), (11649), (11654), (11691),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11692), (function-axioms) are inconsistent by
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #883.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11693) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11693) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) op(e0, e2) = all_56_15
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11695) op(e0, all_56_15) = e0
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11696) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (10184), (10199), (11608), (11609), (11696),
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #879.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11697) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11697) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11698) all_58_6 = e1 & op(e1, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11698) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11699) op(e1, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (11649), (11699), (function-axioms) are
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11700) all_58_12 = e1 & op(e0, e3) = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11700) implies:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11701) all_58_12 = e1
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11702) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11702) gives:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11703) all_58_12 = e3 & op(e0, e3) = e3
% 235.04/44.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11701), (11703) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1205.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11704) all_58_13 = e3 & op(e0, e2) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (11704), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11705) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11705) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11706) all_58_14 = e3 & op(e0, e1) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11706) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11707) all_58_14 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11708) op(e0, e1) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11709) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11709) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11700) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11710) op(e0, e3) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11708) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11711) all_52_11 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15, e2, e0, simplifying with (11629),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11694) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11712) all_56_15 = e2
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e1,
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (11710) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11713) all_52_3 = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11695), (11712) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714) op(e0, e2) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (10198), (11462), (11633),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11714), (function-axioms) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #882.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11715) all_58_13 = e1 & op(e0, e2) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11715) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716) all_58_13 = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (160), (163), (224),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (10197), (11437), (11649), (11651),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11716), (function-axioms) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #887.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11717) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11717) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11718) all_58_14 = e1 & op(e0, e1) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (11707), (11718) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1900.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11719) all_58_15 = e1 & op(e0, e0) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11719) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11720) op(e0, e0) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (11456), (11720), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11721) all_58_15 = e3 & op(e0, e0) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11721) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11722) op(e0, e0) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11456), (11722), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11723) all_54_9 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (11474), (11723) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1953.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11724) all_58_13 = e1 & op(e0, e2) = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11724) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11725) all_58_13 = e1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (9), (126), (143), (160), (163), (195),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (235), (237), (267), (10189), (10197),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (11437), (11474), (11626), (11725),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | | #881.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | (11726) all_54_13 = e1 | all_54_13 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11480), (11612), (11618), (11726) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #880.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | (11727) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | ALPHA: (11727) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | (11728) ~ (all_8_1 = e0)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | (11729) op(e2, e3) = all_8_1
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | (11730) ~ (all_42_2 = e3)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (11730) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | (11731) $false
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11731) is inconsistent.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | (11732) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11468), (11728), (11729), (11732),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | | #897.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | (11733) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 235.04/44.13 | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | BETA: splitting (11733) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11734) all_58_6 = e0 & op(e1, e3) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | ALPHA: (11734) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11735) all_58_6 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (224), (225),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (226), (10189), (11437), (11735),
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | #1977.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11736) all_58_12 = e0 & op(e0, e3) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | ALPHA: (11736) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11737) op(e0, e3) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (11451), (11737), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | (11738) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | BETA: splitting (11738) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11739) all_58_4 = e0 & op(e3, e1) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | ALPHA: (11739) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11740) all_58_4 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 235.04/44.13 | | | | | | | | | | | | | | | | | (230), (10191), (11437), (11740),
% 235.04/44.13 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | | #1662.
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11741) all_58_9 = e0 & op(e3, e0) = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | ALPHA: (11741) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11742) all_58_9 = e0
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (220), (221),
% 235.04/44.13 | | | | | | | | | | | | | | | | | (222), (10192), (11456), (11458), (11742),
% 235.04/44.13 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | | #1652.
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | (11743) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.04/44.13 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 235.04/44.13 | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 235.04/44.13 | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 235.04/44.13 | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (220),
% 235.04/44.13 | | | | | | | | | | | | | | | (221), (222), (10192), (11435), (11453), (11456),
% 235.04/44.13 | | | | | | | | | | | | | | | (11743), (function-axioms) are inconsistent by
% 235.04/44.13 | | | | | | | | | | | | | | | sub-proof #1489.
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | End of split
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | (11744) all_20_2 = e1
% 235.04/44.13 | | | | | | | | | | | (11745) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 235.04/44.13 | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 235.04/44.13 | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 235.04/44.13 | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | COMBINE_EQS: (341), (11744) imply:
% 235.04/44.13 | | | | | | | | | | | (11746) all_4_2 = e1
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | SIMP: (11746) implies:
% 235.04/44.13 | | | | | | | | | | | (11747) all_4_2 = e1
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | COMBINE_EQS: (324), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11748) all_34_2 = e1
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | COMBINE_EQS: (254), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11749) all_56_31 = e1
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (379), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11750) ~ (all_52_7 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (387), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11751) ~ (all_52_12 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (388), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11752) ~ (all_52_13 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (389), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11753) ~ (all_52_14 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (10201), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11754) ~ (e3 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (390), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11755) ~ (e2 = e1)
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | REDUCE: (36), (11747) imply:
% 235.04/44.13 | | | | | | | | | | | (11756) op(e0, e0) = e1
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | BETA: splitting (220) gives:
% 235.04/44.13 | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | (11757) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 235.04/44.13 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 235.04/44.13 | | | | | | | | | | | | (222), (10192), (11752), (11756), (11757),
% 235.04/44.13 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | #878.
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | (11758) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 235.04/44.13 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | BETA: splitting (11758) gives:
% 235.04/44.13 | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | (11759) all_58_11 = e1 & op(e1, e0) = e1
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | ALPHA: (11759) implies:
% 235.04/44.13 | | | | | | | | | | | | | (11760) op(e1, e0) = e1
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | REF_CLOSE: (160), (11753), (11760), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | (11761) all_58_15 = e1 & op(e0, e0) = e1
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | ALPHA: (11761) implies:
% 235.04/44.13 | | | | | | | | | | | | | (11762) all_58_15 = e1
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | BETA: splitting (67) gives:
% 235.04/44.13 | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | (11763) ~ (all_24_2 = e2)
% 235.04/44.13 | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | REDUCE: (301), (11763) imply:
% 235.04/44.13 | | | | | | | | | | | | | | (11764) ~ (all_10_2 = e2)
% 235.04/44.13 | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 235.04/44.13 | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | (11765) all_54_0 = e3
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | COMBINE_EQS: (292), (11765) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | (11766) all_10_2 = e3
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | REDUCE: (363), (11766) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | (11767) ~ (all_52_8 = e3)
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | REDUCE: (365), (11766) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | (11768) ~ (all_52_12 = e3)
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | REDUCE: (45), (11766) imply:
% 235.04/44.13 | | | | | | | | | | | | | | | (11769) op(e3, e3) = e3
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 235.04/44.13 | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | (11770) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (10191), (11767), (11770),
% 235.04/44.13 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.13 | | | | | | | | | | | | | | | | #1628.
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | (11771) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 235.04/44.13 | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | BETA: splitting (11771) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11772) all_58_8 = e3 & op(e1, e1) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11437), (11772), (function-axioms) are
% 235.04/44.13 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11773) all_58_14 = e3 & op(e0, e1) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | ALPHA: (11773) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11774) all_58_14 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | (11775) op(e0, e1) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | (11776) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | BETA: splitting (11776) gives:
% 235.04/44.13 | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11777) all_58_6 = e3 & op(e1, e3) = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | ALPHA: (11777) implies:
% 235.04/44.13 | | | | | | | | | | | | | | | | | | | (11778) all_58_6 = e3
% 235.04/44.13 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (162), (164),
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (168), (216), (218), (222), (223), (224), (225),
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (226), (235), (237), (239), (241), (243), (10189),
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (10192), (10197), (11753), (11756), (11762),
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (11768), (11769), (11774), (11778),
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | #959.
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (11779) all_58_7 = e3 & op(e1, e2) = e3
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | ALPHA: (11779) implies:
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (11780) op(e1, e2) = e3
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (11780), (function-axioms) are
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | End of split
% 235.04/44.14 | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | Case 2:
% 235.04/44.14 | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | (11781) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 235.04/44.14 | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 235.04/44.14 | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | BETA: splitting (11781) gives:
% 235.04/44.14 | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | Case 1:
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.04/44.14 | | | | | | | | | | | | | | | | | | | (11782) all_58_8 = e3 & op(e1, e1) = e3
% 235.04/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11437), (11782), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | (11783) all_58_11 = e3 & op(e1, e0) = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | ALPHA: (11783) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | (11784) all_58_11 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | (11785) op(e1, e0) = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | e3, e1, e0, simplifying with (157), (11775) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | (11786) all_52_11 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | e3, e0, e1, simplifying with (160), (11785) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | (11787) all_52_14 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | (11788) ~ (all_28_2 = e0)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (11432), (11788) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | (11789) $false
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | CLOSE: (11789) is inconsistent.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | (11790) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | (11791) ~ (all_34_2 = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (11748), (11791) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | (11792) $false
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | CLOSE: (11792) is inconsistent.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | (11793) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11430) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | (11794) ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0 &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_18_1 & $i(all_18_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11794) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | (11795) ~ (all_18_0 = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | (11796) op(e1, e0) = all_18_1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | (11797) op(all_18_1, e1) = all_18_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11793) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | (11798) ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0 &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_34_1 & $i(all_34_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11798) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | (11799) ~ (all_34_0 = e3)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | (11800) op(e0, e1) = all_34_1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | (11801) op(all_34_1, e0) = all_34_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11802) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11802) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11803) ~ (all_20_0 = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11804) op(e0, e1) = all_20_1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11805) op(all_20_1, e0) = all_20_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (11775), (11800) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11806) all_34_1 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (11800),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11804) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11807) all_34_1 = all_20_1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_18_1,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11796) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11808) all_18_1 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11806), (11807) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11809) all_20_1 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11801), (11806) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11810) op(e3, e0) = all_34_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11805), (11809) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11811) op(e3, e0) = all_20_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11797), (11808) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | (11812) op(e3, e1) = all_18_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11790) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11813) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11813) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11814) op(e1, e0) = all_28_1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11814) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11815) all_28_1 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (11811)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11816) all_52_12 = all_20_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e0, e3, simplifying with (168), (11810)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11817) all_52_12 = all_34_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (11812)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11818) all_52_8 = all_18_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11816), (11817) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11819) all_34_0 = all_20_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (11816) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11820) all_54_3 = all_20_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11818) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11821) all_54_2 = all_18_0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11767), (11818) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11822) ~ (all_18_0 = e3)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11816) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11823) ~ (all_52_13 = all_20_0)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11823) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11824) ~ (all_52_13 = all_20_0)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11751), (11816) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11825) ~ (all_20_0 = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11799), (11819) imply:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | (11826) ~ (all_20_0 = e3)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11827) all_54_2 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11821), (11822), (11827) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (11828) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11829) all_54_3 = e3
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11820), (11826), (11829) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #957.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11830) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11831) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11831) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11832) all_58_0 = e2 & op(e3, e3) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11832) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11833) op(e3, e3) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11769), (11833), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11834) all_58_1 = e2 & op(e3, e2) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11834) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835) all_58_1 = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11828) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11836) all_54_2 = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11795), (11821), (11836) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1527.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837) all_54_2 = e1 | all_54_2 = e0
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11838) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11838) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (216), (11435), (11756),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11803), (11820), (11824), (11825), (11830),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11839), (function-axioms) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1122.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11840) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11840) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841) op(e2, e0) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11842) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (134), (170), (281), (10197), (11434),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11837), (11842), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #876.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11843) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11843) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11844) all_58_7 = e1 & op(e1, e2) = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11844) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11845) all_58_7 = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11846) op(e1, e2) = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11847) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (149), (163), (167),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (10198), (11749), (11756),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768), (11769), (11775), (11784), (11785),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11841), (11847), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #875.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11848) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11848) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11849) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11849) implies:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850) all_58_6 = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11851) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (11835), (11845), (11846),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11850), (11851), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11852) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11437), (11784), (11852),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1057.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11853) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (218), (235),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10198), (11762), (11774),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11835), (11845), (11846), (11853),
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11854) all_58_13 = e1 & op(e0, e2) = e1
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11750), (11854), (function-axioms) are
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11855) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11855) gives:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11856) all_58_11 = e2 & op(e1, e0) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11784), (11856) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1741.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11857) all_58_15 = e2 & op(e0, e0) = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11762), (11857) are inconsistent by
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1917.
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11858) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 235.58/44.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (160), (164),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (216), (221), (242), (281), (11434),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435), (11756), (11762), (11769), (11784),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795), (11803), (11820), (11821), (11824),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11825), (11828), (11830), (11858),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #867.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11859) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11859) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11860) ~ (all_28_1 = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11861) op(e1, e0) = all_28_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11861) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11862) all_28_1 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (11811)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11863) all_52_12 = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_34_0, e0, e3, simplifying with (168), (11810)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11864) all_52_12 = all_34_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (11812)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11865) all_52_8 = all_18_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11863), (11864) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11866) all_34_0 = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (11863) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11867) all_54_3 = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11865) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11868) all_54_2 = all_18_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11767), (11865) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11869) ~ (all_18_0 = e3)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11863) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11870) ~ (all_52_13 = all_20_0)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11870) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11871) ~ (all_52_13 = all_20_0)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11751), (11863) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11872) ~ (all_20_0 = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11799), (11866) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11873) ~ (all_20_0 = e3)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11874) all_54_2 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11868), (11869), (11874) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11875) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11876) all_54_3 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11867), (11873), (11876) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #957.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11877) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11878) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11878) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11879) all_58_0 = e2 & op(e3, e3) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11879) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11880) op(e3, e3) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11769), (11880), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11881) all_58_1 = e2 & op(e3, e2) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11881) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882) all_58_1 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11875) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11883) all_54_2 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11795), (11868), (11883) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1527.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884) all_54_2 = e1 | all_54_2 = e0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11885) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11885) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (216), (11435), (11756),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11803), (11867), (11871), (11872), (11877),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11886), (function-axioms) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1122.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11887) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11887) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888) op(e2, e0) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11889) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (134), (170), (281), (10197), (11434),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11884), (11889), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #876.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11890) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11890) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11891) all_58_7 = e1 & op(e1, e2) = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11891) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11892) all_58_7 = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11893) op(e1, e2) = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11894) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (149), (163), (167),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (10198), (11749), (11756),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768), (11769), (11775), (11784), (11785),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11888), (11894), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #875.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11895) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11895) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11896) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11896) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11897) all_58_6 = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11898) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (11882), (11892), (11893),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11897), (11898), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11899) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11437), (11860), (11861), (11899),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11900) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (218), (235),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10198), (11762), (11774),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11882), (11892), (11893), (11900),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #870.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11901) all_58_13 = e1 & op(e0, e2) = e1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11750), (11901), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11902) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11762), (11860), (11861), (11902),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11903) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (160), (164),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (216), (221), (242), (281), (11434),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435), (11756), (11762), (11769), (11784),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795), (11803), (11867), (11868), (11871),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11872), (11875), (11877), (11903),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #867.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11904) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11904) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11905) ~ (all_20_1 = e3)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11906) op(e0, e1) = all_20_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11775), (11800), (11905), (11906),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | #1806.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | (11907) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11907) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | (11908) ~ (all_34_1 = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | (11909) op(e0, e1) = all_34_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11745) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11910) ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0 &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_20_1 & $i(all_20_0) &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11910) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11911) ~ (all_20_0 = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11912) op(e0, e1) = all_20_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11913) op(all_20_1, e0) = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_34_1,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, simplifying with (11775), (11909) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11914) all_34_1 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_20_1,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | all_34_1, e1, e0, simplifying with (11909),
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11912) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11915) all_34_1 = all_20_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_18_1,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11796) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11916) all_18_1 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (11914), (11915) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11917) all_20_1 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11913), (11917) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11918) op(e3, e0) = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11797), (11916) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | (11919) op(e3, e1) = all_18_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11790) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11920) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11920) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11921) op(e1, e0) = all_28_1
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11921) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11922) all_28_1 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (11918)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11923) all_52_12 = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (11919)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11924) all_52_8 = all_18_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (11923) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11925) all_54_3 = all_20_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11924) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11926) all_54_2 = all_18_0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11767), (11924) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11927) ~ (all_18_0 = e3)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11923) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11928) ~ (all_52_13 = all_20_0)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11928) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11929) ~ (all_52_13 = all_20_0)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11768), (11923) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11930) ~ (all_20_0 = e3)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11751), (11923) imply:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | (11931) ~ (all_20_0 = e1)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11932) all_54_2 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11926), (11927), (11932) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (11933) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11934) all_54_3 = e3
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11925), (11930), (11934) are inconsistent by
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #957.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11935) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11936) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11936) gives:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11937) all_58_0 = e2 & op(e3, e3) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11937) implies:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11938) op(e3, e3) = e2
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11769), (11938), (function-axioms) are
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11939) all_58_1 = e2 & op(e3, e2) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11939) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11940) all_58_1 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11933) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11941) all_54_2 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11795), (11926), (11941) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1527.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942) all_54_2 = e1 | all_54_2 = e0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11943) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11943) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (216), (11435), (11756),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911), (11925), (11929), (11931), (11935),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11944), (function-axioms) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1122.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11945) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11945) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11946) op(e2, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11947) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (134), (170), (281), (10197), (11434),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11942), (11947), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #876.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11948) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11948) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11949) all_58_7 = e1 & op(e1, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11949) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11950) all_58_7 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11951) op(e1, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11952) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (149), (163), (167),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (10198), (11749), (11756),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768), (11769), (11775), (11784), (11785),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11946), (11952), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #875.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11953) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11953) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11954) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11954) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955) all_58_6 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11956) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (11940), (11950), (11951),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11955), (11956), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11957) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (11437), (11784), (11957),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1057.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (218), (235),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10198), (11762), (11908),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11909), (11912), (11940), (11950), (11951),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11958), (function-axioms) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #865.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11959) all_58_13 = e1 & op(e0, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11750), (11959), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11960) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (11762), (11784), (11960) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #958.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11961) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (160), (164),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (216), (221), (242), (281), (11434),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11435), (11756), (11762), (11769), (11784),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11795), (11911), (11925), (11926), (11929),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11931), (11933), (11935), (11961),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #867.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11962) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11962) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11963) ~ (all_28_1 = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11964) op(e1, e0) = all_28_1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_28_1,
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (11785), (11964) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11965) all_28_1 = e3
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | all_20_0, e0, e3, simplifying with (168), (11918)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11966) all_52_12 = all_20_0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | all_18_0, e1, e3, simplifying with (169), (11919)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11967) all_52_8 = all_18_0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (11966) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11968) all_54_3 = all_20_0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (11967) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11969) all_54_2 = all_18_0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11767), (11967) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11970) ~ (all_18_0 = e3)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (11966) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11971) ~ (all_52_13 = all_20_0)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (11971) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11972) ~ (all_52_13 = all_20_0)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11768), (11966) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11973) ~ (all_20_0 = e3)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11751), (11966) imply:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | (11974) ~ (all_20_0 = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (11975) all_54_2 = e3
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11969), (11970), (11975) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #877.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (11976) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11977) all_54_3 = e3
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11968), (11973), (11977) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #957.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (11978) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11979) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11979) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11980) all_58_0 = e2 & op(e3, e3) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11980) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11981) op(e3, e3) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (11769), (11981), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11982) all_58_1 = e2 & op(e3, e2) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11982) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11983) all_58_1 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11976) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11984) all_54_2 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11795), (11969), (11984) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1527.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985) all_54_2 = e1 | all_54_2 = e0
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11986) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11986) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (216), (11435), (11756),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911), (11968), (11972), (11974), (11978),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11987), (function-axioms) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1122.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11988) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11988) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989) op(e2, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11990) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (134), (170), (281), (10197), (11434),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11985), (11990), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #876.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11991) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11991) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11992) all_58_7 = e1 & op(e1, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11992) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11993) all_58_7 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11994) op(e1, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11995) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (149), (163), (167),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (10198), (11749), (11756),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11768), (11769), (11775), (11784), (11785),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11989), (11995), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #875.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11996) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11996) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11997) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (11997) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998) all_58_6 = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11999) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (11983), (11993), (11994),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11998), (11999), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #873.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12000) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (11437), (11963), (11964), (12000),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1463.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (218), (235),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (10197), (10198), (11762), (11908),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11909), (11912), (11983), (11993), (11994),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12001), (function-axioms) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #865.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12002) all_58_13 = e1 & op(e0, e2) = e1
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (11750), (12002), (function-axioms) are
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12003) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (11762), (11963), (11964), (12003),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #866.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12004) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12004) gives:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12005) all_58_4 = e2 & op(e3, e1) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12005) implies:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006) all_58_4 = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (134), (170), (216),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (242), (281), (11434), (11756), (11762),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11769), (11784), (11795), (11969), (11976),
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12006), (function-axioms) are inconsistent by
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #868.
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (216), (11435), (11756),
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (11911), (11968), (11972), (11974), (11978),
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12007), (function-axioms) are inconsistent by
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1122.
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | (12008) ~ (all_20_1 = e3) & op(e0, e1) = all_20_1 &
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_20_1)
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12008) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | (12009) ~ (all_20_1 = e3)
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | (12010) op(e0, e1) = all_20_1
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11775), (11909), (12009), (12010),
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | | #1806.
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | (12011) ~ (all_18_1 = e3) & op(e1, e0) = all_18_1 &
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | $i(all_18_1)
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11785), (11790), (12011), (function-axioms) are
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1767.
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | (12012) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | REF_CLOSE: (292), (10199), (10203), (11764), (12012) are
% 235.58/44.17 | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | (12013) all_24_2 = e2
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | COMBINE_EQS: (301), (12013) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12014) all_10_2 = e2
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | COMBINE_EQS: (290), (12014) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12015) all_56_1 = e2
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (355), (12014) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12016) ~ (all_52_1 = e2)
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | (12017) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.17 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.17 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.17 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.17 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.17 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.17 | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.17 | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.58/44.17 | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.58/44.17 | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.17 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | BETA: splitting (12017) gives:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | (12018) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.17 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.17 | | | | | | | | | | | | | | | | = e3)
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | BETA: splitting (12018) gives:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12019) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e3
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | ALPHA: (12019) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12020) op(e2, e3) = e3
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (12020), (function-axioms) are
% 235.58/44.17 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12021) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (11749), (12016), (12021),
% 235.58/44.17 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.17 | | | | | | | | | | | | | | | | | #2126.
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | (12022) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 235.58/44.17 | | | | | | | | | | | | | | | | = e0)
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | REF_CLOSE: (10186), (11433), (12022) are inconsistent by
% 235.58/44.17 | | | | | | | | | | | | | | | | sub-proof #863.
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | (12023) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.17 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.17 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.17 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.17 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.17 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.17 | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.58/44.17 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.58/44.17 | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.58/44.17 | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.58/44.17 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | BETA: splitting (12023) gives:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | (12024) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.17 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.17 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | BETA: splitting (12024) gives:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12025) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.58/44.17 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2) = e2
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | ALPHA: (12025) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12026) ~ (all_56_31 = e1)
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | REDUCE: (11749), (12026) imply:
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12027) $false
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | CLOSE: (12027) is inconsistent.
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12028) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | BETA: splitting (12028) gives:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12029) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 235.58/44.17 | | | | | | | | | | | | | | | | | | e2) = e1
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | ALPHA: (12029) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12030) ~ (all_56_1 = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | REDUCE: (12015), (12030) imply:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12031) $false
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | CLOSE: (12031) is inconsistent.
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12032) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 235.58/44.17 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 235.58/44.17 | | | | | | | | | | | | | | | | | | e2) = e2
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | ALPHA: (12032) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12033) ~ (all_56_21 = e0)
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | REDUCE: (11433), (12033) imply:
% 235.58/44.17 | | | | | | | | | | | | | | | | | | (12034) $false
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | | CLOSE: (12034) is inconsistent.
% 235.58/44.17 | | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | (12035) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.58/44.17 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.17 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.58/44.17 | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.17 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.58/44.17 | | | | | | | | | | | | | | | | = e0)
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | BETA: splitting (12035) gives:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12036) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 235.58/44.17 | | | | | | | | | | | | | | | | | e2) = e0
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | ALPHA: (12036) implies:
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12037) ~ (all_56_1 = e2)
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | REDUCE: (12015), (12037) imply:
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12038) $false
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | CLOSE: (12038) is inconsistent.
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | (12039) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 235.58/44.17 | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.58/44.17 | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (11435), (11753), (12039),
% 235.58/44.17 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.17 | | | | | | | | | | | | | | | | | #1989.
% 235.58/44.17 | | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | End of split
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | (12040) all_16_2 = e0
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | COMBINE_EQS: (342), (12040) imply:
% 235.58/44.17 | | | | | | | | | (12041) all_10_2 = e0
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | SIMP: (12041) implies:
% 235.58/44.17 | | | | | | | | | (12042) all_10_2 = e0
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | COMBINE_EQS: (290), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12043) all_56_1 = e0
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (355), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12044) ~ (all_52_1 = e0)
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (359), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12045) ~ (all_52_3 = e0)
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (361), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12046) ~ (all_52_4 = e0)
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (363), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12047) ~ (all_52_8 = e0)
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (10199), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12048) ~ (e1 = e0)
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | REDUCE: (45), (12042) imply:
% 235.58/44.17 | | | | | | | | | (12049) op(e3, e3) = e0
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | BETA: splitting (58) gives:
% 235.58/44.17 | | | | | | | | |
% 235.58/44.17 | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | (12050) ~ (all_18_2 = e0)
% 235.58/44.17 | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | REDUCE: (339), (12050) imply:
% 235.58/44.17 | | | | | | | | | | (12051) ~ (all_6_2 = e0)
% 235.58/44.17 | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | BETA: splitting (61) gives:
% 235.58/44.17 | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | (12052) ~ (all_20_2 = e1)
% 235.58/44.17 | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | REDUCE: (341), (12052) imply:
% 235.58/44.17 | | | | | | | | | | | (12053) ~ (all_4_2 = e1)
% 235.58/44.17 | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | BETA: splitting (189) gives:
% 235.58/44.17 | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | (12054) all_54_15 = e3
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | REF_CLOSE: (299), (10201), (12054) are inconsistent by
% 235.58/44.17 | | | | | | | | | | | | sub-proof #2340.
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | (12055) ~ (all_54_15 = e3)
% 235.58/44.17 | | | | | | | | | | | | (12056) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | BETA: splitting (12056) gives:
% 235.58/44.17 | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | (12057) all_54_15 = e2
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | REF_CLOSE: (299), (390), (12057) are inconsistent by
% 235.58/44.17 | | | | | | | | | | | | | sub-proof #2339.
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | (12058) ~ (all_54_15 = e2)
% 235.58/44.17 | | | | | | | | | | | | | (12059) all_54_15 = e1 | all_54_15 = e0
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | BETA: splitting (12059) gives:
% 235.58/44.17 | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | (12060) all_54_15 = e1
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REF_CLOSE: (299), (12053), (12060) are inconsistent by
% 235.58/44.17 | | | | | | | | | | | | | | sub-proof #2338.
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | Case 2:
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | (12061) all_54_15 = e0
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | COMBINE_EQS: (299), (12061) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12062) all_4_2 = e0
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | SIMP: (12062) implies:
% 235.58/44.17 | | | | | | | | | | | | | | (12063) all_4_2 = e0
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | COMBINE_EQS: (254), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12064) all_56_31 = e0
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (388), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12065) ~ (all_52_13 = e0)
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (389), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12066) ~ (all_52_14 = e0)
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (10201), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12067) ~ (e3 = e0)
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (390), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12068) ~ (e2 = e0)
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | REDUCE: (36), (12063) imply:
% 235.58/44.17 | | | | | | | | | | | | | | (12069) op(e0, e0) = e0
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 235.58/44.17 | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | (12070) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 235.58/44.17 | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | BETA: splitting (12070) gives:
% 235.58/44.17 | | | | | | | | | | | | | | |
% 235.58/44.17 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.17 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | (12071) all_58_6 = e0 & op(e1, e3) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | ALPHA: (12071) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | (12072) all_58_6 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (241), (243),
% 235.58/44.18 | | | | | | | | | | | | | | | | (245), (10187), (12049), (12072),
% 235.58/44.18 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.18 | | | | | | | | | | | | | | | | #1441.
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | (12073) all_58_7 = e0 & op(e1, e2) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | ALPHA: (12073) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | (12074) op(e1, e2) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | (12075) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | BETA: splitting (12075) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12076) all_58_2 = e0 & op(e2, e3) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | ALPHA: (12076) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12077) all_58_2 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (12078) all_58_15 = e0 & op(e0, e0) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | ALPHA: (12078) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (12079) all_58_15 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | (12080) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12080) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12081) all_58_4 = e0 & op(e3, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12081) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12082) all_58_4 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (242), (244),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (246), (10188), (12049), (12082),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | #1512.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12083) all_58_5 = e0 & op(e2, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12083) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12084) op(e2, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (165), (232), (233),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (12077), (12084),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | #861.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | (12085) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12085) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12086) all_58_8 = e0 & op(e1, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (39), (12051), (12086), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1833.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12087) all_58_14 = e0 & op(e0, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12087) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12088) all_58_14 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12089) op(e0, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12090) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12090) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12091) all_58_4 = e3 & op(e3, e1) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12091) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12092) all_58_4 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12093) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12093) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12094) all_58_12 = e3 & op(e0, e3) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12094) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12095) all_58_12 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (217), (218),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (10190), (12069), (12079), (12088),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12089), (12095), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #859.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12096) all_58_13 = e3 & op(e0, e2) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (12096), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12097) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12097) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12098) all_58_14 = e3 & op(e0, e1) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12098) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12099) all_58_14 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12100) op(e0, e1) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (165), (227),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (228), (229), (12051), (12092), (12099), (12100),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | #1094.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12101) all_58_15 = e3 & op(e0, e0) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12101) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12102) op(e0, e0) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12069), (12102), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12103) all_58_5 = e3 & op(e2, e1) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (12103), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12104) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (39), (391), (12089), (12104),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | #1627.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (12105) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (220),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (221), (222), (10192), (12065), (12066), (12069),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (12105), (function-axioms) are inconsistent by
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | sub-proof #1489.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12106) all_58_3 = e0 & op(e2, e2) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (12106) are inconsistent by
% 235.58/44.18 | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | (12107) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | BETA: splitting (12107) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12108) all_58_5 = e0 & op(e2, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | ALPHA: (12108) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12109) op(e2, e1) = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (12074) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12110) all_52_6 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (12109) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12111) all_52_9 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | REDUCE: (126), (12110) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12112) ~ (all_52_14 = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | REDUCE: (117), (12111) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12113) ~ (all_52_13 = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | REDUCE: (381), (12111) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | (12114) ~ (all_6_2 = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (12115) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (12115) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | (12116) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12116) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12117) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12117) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12118) op(e2, e3) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (12118), (function-axioms) are
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | (12119) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12119) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12120) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | e2
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12120) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12121) ~ (all_56_11 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10186), (12121) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12122) $false
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12122) is inconsistent.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12123) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12123) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12124) ~ (all_56_31 = e1)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12125) ~ (all_56_21 = e1)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12126) ~ (all_56_11 = e1)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12127) op(e1, e3) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12128) op(e3, e1) = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (266), (12125) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | (12129) ~ (all_6_2 = e1)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12130) all_54_10 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (12130) are inconsistent by
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2313.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12131) ~ (all_54_10 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | (12132) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12132) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12133) all_54_10 = e2
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (12133) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12134) all_6_2 = e2
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12134) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12135) all_6_2 = e2
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (12135) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12136) all_36_2 = e2
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (12135) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12137) ~ (all_52_8 = e2)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12138) ~ (all_36_2 = e2)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12136), (12138) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12139) $false
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12139) is inconsistent.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (12127) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12140) all_52_2 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (12128) gives:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12141) all_52_8 = e3
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12140) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12142) ~ (all_52_14 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12142) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12143) ~ (all_52_14 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12141) imply:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12144) ~ (all_52_11 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12144) implies:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12145) ~ (all_52_11 = e3)
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (157), (158),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (160), (162), (219), (226), (239), (241), (243),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (391), (10189), (10190), (12069), (12143),
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | (12145), (function-axioms) are inconsistent by
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1035.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | (12146) all_54_10 = e1 | all_54_10 = e0
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (12051), (12129), (12146) are inconsistent
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2282.
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.18 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (12147) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (10186), (12045), (12064), (12147),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | #1001.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12148) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (165), (12064), (12065),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12066), (12109), (12148), (function-axioms) are
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #858.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | (12149) all_58_10 = e0 & op(e2, e0) = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | ALPHA: (12149) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | (12150) op(e2, e0) = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (12065), (12150), (function-axioms) are
% 235.58/44.19 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | (12151) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 235.58/44.19 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | REF_CLOSE: (39), (160), (12051), (12066), (12151),
% 235.58/44.19 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | | | | #1083.
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | (12152) all_20_2 = e1
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | COMBINE_EQS: (341), (12152) imply:
% 235.58/44.19 | | | | | | | | | | | (12153) all_4_2 = e1
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | SIMP: (12153) implies:
% 235.58/44.19 | | | | | | | | | | | (12154) all_4_2 = e1
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | COMBINE_EQS: (254), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12155) all_56_31 = e1
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (379), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12156) ~ (all_52_7 = e1)
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (388), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12157) ~ (all_52_13 = e1)
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (389), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12158) ~ (all_52_14 = e1)
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (10201), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12159) ~ (e3 = e1)
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (390), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12160) ~ (e2 = e1)
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | REDUCE: (36), (12154) imply:
% 235.58/44.19 | | | | | | | | | | | (12161) op(e0, e0) = e1
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | BETA: splitting (220) gives:
% 235.58/44.19 | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | (12162) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 235.58/44.19 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 235.58/44.19 | | | | | | | | | | | | (222), (10192), (12157), (12161), (12162),
% 235.58/44.19 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | #878.
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | (12163) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 235.58/44.19 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | BETA: splitting (12163) gives:
% 235.58/44.19 | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | (12164) all_58_11 = e1 & op(e1, e0) = e1
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | ALPHA: (12164) implies:
% 235.58/44.19 | | | | | | | | | | | | | (12165) op(e1, e0) = e1
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | REF_CLOSE: (160), (12158), (12165), (function-axioms) are
% 235.58/44.19 | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | (12166) all_58_15 = e1 & op(e0, e0) = e1
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | ALPHA: (12166) implies:
% 235.58/44.19 | | | | | | | | | | | | | (12167) all_58_15 = e1
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | BETA: splitting (85) gives:
% 235.58/44.19 | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | (12168) ~ (all_36_2 = e2)
% 235.58/44.19 | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | REDUCE: (328), (12168) imply:
% 235.58/44.19 | | | | | | | | | | | | | | (12169) ~ (all_6_2 = e2)
% 235.58/44.19 | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 235.58/44.19 | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | (12170) all_54_10 = e3
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (12170) are inconsistent by
% 235.58/44.19 | | | | | | | | | | | | | | | sub-proof #2313.
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | (12171) ~ (all_54_10 = e3)
% 235.58/44.19 | | | | | | | | | | | | | | | (12172) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | BETA: splitting (12172) gives:
% 235.58/44.19 | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | (12173) all_54_10 = e2
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | REF_CLOSE: (297), (12169), (12173) are inconsistent by
% 235.58/44.19 | | | | | | | | | | | | | | | | sub-proof #2312.
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | (12174) ~ (all_54_10 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | (12175) all_54_10 = e1 | all_54_10 = e0
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | BETA: splitting (12175) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12176) all_54_10 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (12176) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12177) all_6_2 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | SIMP: (12177) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12178) all_6_2 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | REDUCE: (367), (12178) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12179) ~ (all_52_2 = e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | REDUCE: (380), (12178) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12180) ~ (all_52_8 = e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | REDUCE: (381), (12178) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12181) ~ (all_52_9 = e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | REDUCE: (383), (12178) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | (12182) ~ (all_52_11 = e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | (12183) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | BETA: splitting (12183) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12184) all_58_0 = e1 & op(e3, e3) = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | ALPHA: (12184) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12185) op(e3, e3) = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12049), (12185), (function-axioms) are
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12186) all_58_2 = e1 & op(e2, e3) = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | ALPHA: (12186) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | (12187) all_58_2 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (12188) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (167), (10186), (10187), (12043),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (12045), (12155), (12179), (12188),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | #856.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (12189) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12189) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (12190) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12043), (12155), (12181), (12190),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | #855.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (12191) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12191) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12192) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12192) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12193) ~ (all_56_31 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12194) ~ (all_56_11 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12195) ~ (all_56_1 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12196) op(e0, e2) = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12197) op(e2, e0) = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12043), (12195) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | (12198) ~ (e2 = e0)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | (12199) all_54_6 = e3
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10191), (12199) are inconsistent by
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | (12200) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | (12201) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12201) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | (12202) all_58_2 = e2 & op(e2, e3) = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12187), (12202) are inconsistent by
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1630.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | (12203) all_58_3 = e2 & op(e2, e2) = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12203) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | (12204) op(e2, e2) = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (12204), (function-axioms) are
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | (12205) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12205) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | (12206) all_58_5 = e2 & op(e2, e1) = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12206) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | (12207) op(e2, e1) = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12200) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12208) all_54_6 = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (12208) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12209) all_52_9 = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12209) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12210) all_52_9 = e2
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12210) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12211) ~ (all_52_8 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12210) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12212) ~ (all_52_11 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12212) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (12213) ~ (all_52_11 = e2)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12214) all_54_2 = e3
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (12214) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12215) all_52_8 = e3
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12215) imply:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12216) ~ (all_52_11 = e3)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12216) implies:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12217) ~ (all_52_11 = e3)
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12218) all_54_14 = e3
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (12217), (12218) are inconsistent by
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12219) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (125), (158), (191), (255), (256), (10190),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12156), (12182), (12196), (12213), (12219),
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #904.
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12220) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (12047), (12180), (12211), (12220) are
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (12221) ~ (all_54_6 = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (12221) imply:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (12222) ~ (all_52_9 = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12207), (12222), (function-axioms) are
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12223) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12223) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12224) op(e2, e0) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12197), (12224), (function-axioms) are
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | (12225) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12155), (12158), (12225),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | #2269.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | (12226) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.20 | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | BETA: splitting (12226) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | (12227) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | ALPHA: (12227) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | (12228) op(e1, e3) = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (12179), (12228), (function-axioms) are
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | (12229) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | ALPHA: (12229) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | (12230) all_58_12 = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | (12231) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (158), (10190), (12230), (12231),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | #1541.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | (12232) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (12232) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | (12233) all_58_14 = e3 & op(e0, e1) = e3
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12233) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | (12234) all_58_14 = e3
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | (12235) op(e0, e1) = e3
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | (12236) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12236) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12237) all_58_12 = e2 & op(e0, e3) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12237) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12238) all_58_12 = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12230), (12238) are inconsistent by
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1757.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12239) all_58_13 = e2 & op(e0, e2) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12239) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12240) op(e0, e2) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (12241) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (163), (167), (10186), (10187), (12043),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (12045), (12155), (12179), (12241),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | #856.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (12242) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12242) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12243) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12043), (12155), (12181), (12243),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | #855.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (12244) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12244) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (12245) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12245) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (12246) op(e0, e2) = e0
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12240), (12246), (function-axioms) are
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (12247) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (12158), (12235), (12247),
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | | #1699.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | (12248) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12248) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12249) all_58_14 = e2 & op(e0, e1) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12234), (12249) are inconsistent by
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1864.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12250) all_58_15 = e2 & op(e0, e0) = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12250) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | (12251) all_58_15 = e2
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12167), (12251) are inconsistent by
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2231.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | (12252) all_58_15 = e3 & op(e0, e0) = e3
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | ALPHA: (12252) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | (12253) all_58_15 = e3
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12167), (12253) are inconsistent by
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | (12254) all_54_10 = e0
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (12051), (12254) are inconsistent by
% 235.58/44.20 | | | | | | | | | | | | | | | | | sub-proof #2303.
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | (12255) all_36_2 = e2
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | COMBINE_EQS: (328), (12255) imply:
% 235.58/44.20 | | | | | | | | | | | | | | (12256) all_6_2 = e2
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | SIMP: (12256) implies:
% 235.58/44.20 | | | | | | | | | | | | | | (12257) all_6_2 = e2
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | COMBINE_EQS: (266), (12257) imply:
% 235.58/44.20 | | | | | | | | | | | | | | (12258) all_56_21 = e2
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | REDUCE: (381), (12257) imply:
% 235.58/44.20 | | | | | | | | | | | | | | (12259) ~ (all_52_9 = e2)
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.58/44.20 | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | (12260) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.20 | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.20 | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.20 | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.58/44.20 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | BETA: splitting (12260) gives:
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | (12261) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | = e3)
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10186), (10187), (12155), (12261),
% 235.58/44.20 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | #857.
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | (12262) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 235.58/44.20 | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.20 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.20 | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 235.58/44.20 | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.58/44.20 | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | BETA: splitting (12262) gives:
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | (12263) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 235.58/44.20 | | | | | | | | | | | | | | | | | e3) = e1
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | ALPHA: (12263) implies:
% 235.58/44.20 | | | | | | | | | | | | | | | | | (12264) ~ (all_56_11 = e3)
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | REDUCE: (10186), (12264) imply:
% 235.58/44.20 | | | | | | | | | | | | | | | | | (12265) $false
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | CLOSE: (12265) is inconsistent.
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | (12266) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 235.58/44.20 | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 235.58/44.20 | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.58/44.20 | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (12043), (12045), (12266),
% 235.58/44.20 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.20 | | | | | | | | | | | | | | | | | #1829.
% 235.58/44.20 | | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | | End of split
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.20 | | | | | | | | | | | | | | Case 2:
% 235.58/44.20 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | (12267) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.21 | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.21 | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.21 | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.21 | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.21 | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.21 | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.21 | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.58/44.21 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.58/44.21 | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.58/44.21 | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | BETA: splitting (12267) gives:
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | (12268) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.58/44.21 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.58/44.21 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.58/44.21 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.58/44.21 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | BETA: splitting (12268) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12269) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.58/44.21 | | | | | | | | | | | | | | | | | e2) = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | ALPHA: (12269) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12270) op(e2, e1) = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12259), (12270), (function-axioms) are
% 235.58/44.21 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12271) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.58/44.21 | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.21 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.21 | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | BETA: splitting (12271) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12272) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e2) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | ALPHA: (12272) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12273) ~ (all_56_21 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | REDUCE: (12258), (12273) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12274) $false
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | CLOSE: (12274) is inconsistent.
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12275) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e2) = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | ALPHA: (12275) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12276) ~ (all_56_1 = e0)
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | REDUCE: (12043), (12276) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12277) $false
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | CLOSE: (12277) is inconsistent.
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | (12278) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.58/44.21 | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.58/44.21 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.58/44.21 | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.58/44.21 | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.58/44.21 | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.58/44.21 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | = e0)
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12155), (12158), (12258), (12278),
% 235.58/44.21 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.21 | | | | | | | | | | | | | | | | #2151.
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | (12279) all_18_2 = e0
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | COMBINE_EQS: (339), (12279) imply:
% 235.58/44.21 | | | | | | | | | | (12280) all_6_2 = e0
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | SIMP: (12280) implies:
% 235.58/44.21 | | | | | | | | | | (12281) all_6_2 = e0
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | COMBINE_EQS: (266), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12282) all_56_21 = e0
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | REDUCE: (367), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12283) ~ (all_52_2 = e0)
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | REDUCE: (378), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12284) ~ (all_52_6 = e0)
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | REDUCE: (381), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12285) ~ (all_52_9 = e0)
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | REDUCE: (391), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12286) ~ (e3 = e0)
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | REDUCE: (39), (12281) imply:
% 235.58/44.21 | | | | | | | | | | (12287) op(e1, e1) = e0
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | BETA: splitting (235) gives:
% 235.58/44.21 | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | (12288) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 235.58/44.21 | | | | | | | | | | | & op(e2, e2) = e0)
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | BETA: splitting (12288) gives:
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | (12289) all_58_1 = e0 & op(e3, e2) = e0
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | REF_CLOSE: (170), (12046), (12289), (function-axioms) are
% 235.58/44.21 | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | (12290) all_58_3 = e0 & op(e2, e2) = e0
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | REF_CLOSE: (7), (10197), (12290) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | sub-proof #1719.
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | (12291) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 235.58/44.21 | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | BETA: splitting (12291) gives:
% 235.58/44.21 | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | (12292) all_58_7 = e0 & op(e1, e2) = e0
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | REF_CLOSE: (162), (12284), (12292), (function-axioms) are
% 235.58/44.21 | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | (12293) all_58_13 = e0 & op(e0, e2) = e0
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | ALPHA: (12293) implies:
% 235.58/44.21 | | | | | | | | | | | | (12294) op(e0, e2) = e0
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | BETA: splitting (231) gives:
% 235.58/44.21 | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | (12295) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 235.58/44.21 | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | BETA: splitting (12295) gives:
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | (12296) all_58_2 = e0 & op(e2, e3) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | ALPHA: (12296) implies:
% 235.58/44.21 | | | | | | | | | | | | | | (12297) op(e2, e3) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e0,
% 235.58/44.21 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (12297) gives:
% 235.58/44.21 | | | | | | | | | | | | | | (12298) all_52_1 = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REDUCE: (12044), (12298) imply:
% 235.58/44.21 | | | | | | | | | | | | | | (12299) $false
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | CLOSE: (12299) is inconsistent.
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | (12300) all_58_3 = e0 & op(e2, e2) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (12300) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | sub-proof #1719.
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | (12301) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 235.58/44.21 | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | BETA: splitting (12301) gives:
% 235.58/44.21 | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | (12302) all_58_5 = e0 & op(e2, e1) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REF_CLOSE: (165), (12285), (12302), (function-axioms) are
% 235.58/44.21 | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | (12303) all_58_10 = e0 & op(e2, e0) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | ALPHA: (12303) implies:
% 235.58/44.21 | | | | | | | | | | | | | | (12304) op(e2, e0) = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 235.58/44.21 | | | | | | | | | | | | | | e2, e0, simplifying with (158), (12294) gives:
% 235.58/44.21 | | | | | | | | | | | | | | (12305) all_52_7 = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 235.58/44.21 | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (12304) gives:
% 235.58/44.21 | | | | | | | | | | | | | | (12306) all_52_13 = e0
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REDUCE: (125), (12305) imply:
% 235.58/44.21 | | | | | | | | | | | | | | (12307) ~ (all_52_11 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | SIMP: (12307) implies:
% 235.58/44.21 | | | | | | | | | | | | | | (12308) ~ (all_52_11 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REDUCE: (110), (12306) imply:
% 235.58/44.21 | | | | | | | | | | | | | | (12309) ~ (all_52_14 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | SIMP: (12309) implies:
% 235.58/44.21 | | | | | | | | | | | | | | (12310) ~ (all_52_14 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | REDUCE: (388), (12306) imply:
% 235.58/44.21 | | | | | | | | | | | | | | (12311) ~ (all_4_2 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | SIMP: (12311) implies:
% 235.58/44.21 | | | | | | | | | | | | | | (12312) ~ (all_4_2 = e0)
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 235.58/44.21 | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | (12313) all_54_15 = e3
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | REF_CLOSE: (299), (10201), (12313) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | | sub-proof #2340.
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | (12314) ~ (all_54_15 = e3)
% 235.58/44.21 | | | | | | | | | | | | | | | (12315) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | BETA: splitting (12315) gives:
% 235.58/44.21 | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | (12316) all_54_15 = e2
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (12316) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | | | sub-proof #2339.
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | (12317) ~ (all_54_15 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | (12318) all_54_15 = e1 | all_54_15 = e0
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | BETA: splitting (12318) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12319) all_54_15 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (12319) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12320) all_4_2 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | SIMP: (12320) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12321) all_4_2 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12322) all_56_31 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (368), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12323) ~ (all_52_3 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (386), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12324) ~ (all_52_11 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (389), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12325) ~ (all_52_14 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (10201), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12326) ~ (e3 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (390), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12327) ~ (e2 = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | REDUCE: (36), (12321) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | (12328) op(e0, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12329) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | BETA: splitting (12329) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12330) all_58_9 = e1 & op(e3, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | ALPHA: (12330) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12331) all_58_9 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (222), (10192), (12328), (12331),
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | #1600.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12332) all_58_10 = e1 & op(e2, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | ALPHA: (12332) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12333) op(e2, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (12304), (12333), (function-axioms)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | (12334) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 235.58/44.21 | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | BETA: splitting (12334) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12335) all_58_11 = e1 & op(e1, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | ALPHA: (12335) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12336) op(e1, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12325), (12336), (function-axioms) are
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12337) all_58_15 = e1 & op(e0, e0) = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | ALPHA: (12337) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | (12338) all_58_15 = e1
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | (12339) ~ (all_42_2 = e3)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (12339) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | (12340) $false
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | CLOSE: (12340) is inconsistent.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | (12341) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12342) all_54_14 = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (12342) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12343) all_52_11 = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | SIMP: (12343) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12344) all_52_11 = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12344) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12345) ~ (all_52_3 = e3)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12344) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12346) ~ (all_52_8 = e3)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (12344) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | (12347) op(e0, e1) = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | (12348) all_54_12 = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12345), (12348) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | (12349) ~ (all_54_12 = e3)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | (12350) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12350) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12351) all_54_12 = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12351) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12352) all_52_3 = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12352) implies:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12353) all_52_3 = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (12353) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12354) ~ (all_52_1 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12353) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12355) ~ (all_52_2 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12345), (12353) imply:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | (12356) ~ (e3 = e2)
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | (12357) all_54_4 = e3
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10187), (12357) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | (12358) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12358) gives:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | | (12359) all_54_4 = e2
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12354), (12359) are inconsistent by
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2096.
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.21 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | (12360) ~ (all_54_4 = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | (12361) all_54_4 = e1 | all_54_4 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12362) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (10198), (12354), (12362),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | #998.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12363) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12363) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12364) all_58_5 = e2 & op(e2, e1) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12364) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12365) op(e2, e1) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12361) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12366) all_54_4 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12366) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12367) all_52_1 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12367) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12368) all_52_1 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12368) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12369) ~ (all_52_2 = e1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12369) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12370) ~ (all_52_2 = e1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12368) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12371) op(e2, e3) = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12372) all_54_8 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12372) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12373) all_52_2 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12373) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12374) all_52_2 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (12374) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12375) ~ (all_52_6 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (12374) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12376) ~ (all_52_14 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12376) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12377) ~ (all_52_14 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12378) all_54_11 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (12377), (12378) are inconsistent by
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12379) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10184) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12380) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12380) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12381) op(e2, e3) = all_8_1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (134), (136), (159), (160), (169), (195),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (258), (267), (281), (282),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10198), (12045), (12046),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047), (12282), (12284), (12310), (12325),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341), (12346), (12347), (12365), (12371),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12379), (12381), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #853.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12382) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12382) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12383) op(e2, e3) = all_8_1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (134), (136), (159), (160), (169), (195),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (202), (203), (211), (258), (267), (281), (282),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10198), (12045), (12046),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12047), (12282), (12284), (12310), (12325),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12341), (12346), (12347), (12365), (12371),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12379), (12383), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #853.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12384) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12283), (12355), (12370), (12384) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1949.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12385) all_54_4 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12044), (12385) are inconsistent by
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1923.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12386) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12386) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12387) op(e2, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12304), (12387), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | (12388) all_54_12 = e1 | all_54_12 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12045), (12323), (12388) are inconsistent
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2067.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | (12389) ~ (all_54_14 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | (12390) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (255), (12389) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | (12391) ~ (all_52_11 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12390) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12392) all_54_14 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (12392) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12393) all_52_11 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | SIMP: (12393) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12394) all_52_11 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (12394) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12395) ~ (all_52_3 = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (12394) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12396) ~ (all_52_8 = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (12394) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12397) ~ (all_52_9 = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12391), (12394) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | (12398) ~ (e3 = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | (12399) all_54_6 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (10191), (12399) are inconsistent by
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1825.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | (12400) ~ (all_54_6 = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | (12401) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | (12402) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12402) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | (12403) all_58_4 = e2 & op(e3, e1) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12403) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | (12404) all_58_4 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (12405) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12405) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12406) all_58_2 = e2 & op(e2, e3) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12406) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12407) all_58_2 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12408) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12049), (12407), (12408),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #851.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12409) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12409) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12410) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12410) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12411) all_58_6 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12412) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12412) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12413) all_58_12 = e2 & op(e0, e3) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12413) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12414) all_58_12 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12415) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (10189), (12411), (12415),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #850.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12416) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12416) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12417) all_58_8 = e3 & op(e1, e1) = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12287), (12417), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12418) all_58_11 = e3 & op(e1, e0) = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12418) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12419) all_58_11 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12420) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12420) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12421) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12421) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12422) op(e3, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12423) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (10188), (12049), (12423),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1513.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12424) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12424) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12425) all_58_4 = e3 & op(e3, e1) = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12404), (12425) are inconsistent by
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2167.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12426) all_58_9 = e3 & op(e3, e0) = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12426) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12427) op(e3, e0) = e3
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12422), (12427), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12428) all_58_10 = e2 & op(e2, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12428) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12429) op(e2, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12304), (12429), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12430) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12430) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12431) all_58_11 = e2 & op(e1, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12419), (12431) are inconsistent by
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1741.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12432) all_58_15 = e2 & op(e0, e0) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12432) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12433) all_58_15 = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12338), (12433) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12434) e2 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12434) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12435) e2 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12414), (12435) imply:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12436) all_58_12 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (227), (230), (232), (10191), (10197),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12338), (12391), (12404),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12407), (12436), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12437) all_58_13 = e2 & op(e0, e2) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12437) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12438) op(e0, e2) = e2
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12294), (12438), (function-axioms) are
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12439) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (232), (10191), (10197), (12304),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338), (12391), (12404), (12407), (12439),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #847.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12440) all_58_12 = e1 & op(e0, e3) = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12440) implies:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12441) all_58_12 = e1
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12442) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12294), (12441), (12442),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #849.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12443) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (232), (10191), (10197), (12304),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12338), (12391), (12404), (12407), (12443),
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #847.
% 235.58/44.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12444) all_58_3 = e2 & op(e2, e2) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12444) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12445) op(e2, e2) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (12445), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12446) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (12304), (12397), (12446),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | #845.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12447) all_58_5 = e2 & op(e2, e1) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12447) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12448) op(e2, e1) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12397), (12448), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | (12449) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12449) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12450) all_58_8 = e2 & op(e1, e1) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12450) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12451) op(e1, e1) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12287), (12451), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12452) all_58_14 = e2 & op(e0, e1) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12452) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | (12453) all_58_14 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12454) all_54_12 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (12454) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12455) all_52_3 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (12455) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (12456) ~ (all_52_2 = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12457) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12457) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12458) all_58_2 = e2 & op(e2, e3) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12458) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12459) all_58_2 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12460) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12049), (12459), (12460),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #851.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12461) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12461) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12462) all_58_6 = e1 & op(e1, e3) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12462) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12463) all_58_6 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12464) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12464) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12465) all_58_2 = e1 & op(e2, e3) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12459), (12465) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #852.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12466) all_58_3 = e1 & op(e2, e2) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (12466) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12467) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12467) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12468) all_58_5 = e1 & op(e2, e1) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12468) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12469) all_58_5 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12470) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (162), (10189), (12463), (12470),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #850.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12471) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12471) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12472) all_58_8 = e3 & op(e1, e1) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12287), (12472), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12473) all_58_11 = e3 & op(e1, e0) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12473) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474) all_58_11 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12475) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12475) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12476) all_58_9 = e2 & op(e3, e0) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12476) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12477) all_58_9 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12478) op(e3, e0) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12479) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (170), (10188), (12049), (12479),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1513.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12480) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12480) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12481) all_58_4 = e3 & op(e3, e1) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12481) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12482) all_58_4 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12483) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12483) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12484) all_58_12 = e3 & op(e0, e3) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12484) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12485) all_58_12 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12486) op(e0, e3) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12487) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12487) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12488) all_58_6 = e2 & op(e1, e3) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12488) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12489) all_58_6 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12463), (12489) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12490) e2 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12490) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12491) e2 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12477), (12491) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12492) all_58_9 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (12328),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474), (12492), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1604.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12493) all_58_7 = e2 & op(e1, e2) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12493) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12494) all_58_7 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12495) op(e1, e2) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12496) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12496) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12497) all_58_0 = e1 & op(e3, e3) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12497) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498) op(e3, e3) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (239), (12459), (12463), (12485),
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12498), (function-axioms) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1164.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12499) all_58_1 = e1 & op(e3, e2) = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12499) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12500) all_58_1 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12401) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12501) all_54_6 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (12397), (12501) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2247.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12502) ~ (all_54_6 = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12503) all_54_6 = e1 | all_54_6 = e0
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12503) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12504) all_54_6 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (12504) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12505) all_52_9 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12505) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12506) all_52_9 = e1
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (12506) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12507) ~ (all_52_1 = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (12506) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12508) ~ (all_52_8 = e1)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12509) all_54_2 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (12509) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12510) all_52_8 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12510) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12511) all_52_8 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (12511) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12512) ~ (all_52_12 = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12512) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12513) ~ (all_52_12 = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12514) all_54_4 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (10187), (12514) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12515) ~ (all_54_4 = e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12516) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12516) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12517) all_54_4 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (12517) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12518) all_52_1 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12518) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12519) all_52_1 = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (12519) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12520) ~ (all_52_2 = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12520) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12521) ~ (all_52_2 = e2)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (12519) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12522) op(e2, e3) = e2
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12523) all_54_8 = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12456), (12523) are inconsistent by
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12524) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12525) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12525) gives:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12526) all_56_0 = e3 & op(e3, all_56_1) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12526) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12527) op(e3, all_56_1) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12043), (12527) imply:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12528) op(e3, e0) = e3
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12513), (12528), (function-axioms) are
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12529) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12529) implies:
% 235.58/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12530) op(e2, e3) = all_56_3
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12531) op(e2, all_56_3) = e2
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12524) gives:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12532) all_54_8 = e2
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12521), (12532) are inconsistent by
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12533) ~ (all_54_8 = e2)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12534) all_54_8 = e1 | all_54_8 = e0
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12535) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12535) gives:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12536) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10186), (10187), (12322), (12536),
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #857.
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12537) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (10186), (12045), (12513), (12537),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1004.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12538) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12538) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12539) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12539) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12540) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12540) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12541) op(e2, e1) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12397), (12541), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12542) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12542) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12543) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12543) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12544) ~ (all_56_21 = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12545) ~ (all_56_11 = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12546) op(e1, e2) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12282), (12544) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12547) ~ (e2 = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12534) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12548) all_54_8 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12548) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12549) all_52_2 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12549) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12550) all_52_2 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (12495), (12546) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12551) e2 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12494), (12551) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12552) all_58_7 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (12500), (12546), (12552),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1717.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12553) all_54_8 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12283), (12553) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2006.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12554) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12554) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555) op(e0, e2) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (235), (10197), (12494), (12500),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12555), (function-axioms) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1461.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12556) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12556) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12557) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12557) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12558) ~ (all_56_11 = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_56_3,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (12522), (12530) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12559) all_56_3 = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12531), (12559) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12560) op(e2, e2) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (12560), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12561) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12310), (12325), (12561),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1989.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12562) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12562) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12563) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12563) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12564) op(e1, e3) = all_56_5
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12565) op(e1, all_56_5) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (268), (12283), (12287), (12521), (12524),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12564), (12565), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2004.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12566) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12566) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12567) op(e0, e3) = all_56_7
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12568) op(e0, all_56_7) = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12524) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12569) all_54_8 = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12521), (12569) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12570) all_54_8 = e1 | all_54_8 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12570) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12571) all_54_8 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (12571) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12572) all_52_2 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12572) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12573) all_52_2 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_56_7,
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (12486), (12567) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12574) all_56_7 = e3
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12568), (12574) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12575) op(e0, e3) = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (279), (12044), (12328), (12507), (12516),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12567), (12568), (12575), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1153.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12576) all_54_8 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (12283), (12576) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2006.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12577) all_54_4 = e1 | all_54_4 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (12044), (12507), (12577) are inconsistent
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1922.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12578) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (12047), (12396), (12508), (12578) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1335.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12579) all_54_6 = e0
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (12285), (12579) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2245.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12580) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12580) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12581) all_58_4 = e1 & op(e3, e1) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12581) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12582) all_58_4 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12482), (12582) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12583) e3 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12474), (12583) imply:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12584) all_58_11 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (231), (233),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12338), (12469), (12478), (12584),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #914.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12585) all_58_9 = e1 & op(e3, e0) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12585) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12586) all_58_9 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (221), (12328),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474), (12586), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1604.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12587) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12587) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12588) all_58_8 = e2 & op(e1, e1) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12588) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12589) op(e1, e1) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12287), (12589), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12590) all_58_11 = e2 & op(e1, e0) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (165), (216), (218),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (10191), (12287), (12338), (12474),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12482), (12485), (12590), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #842.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12591) all_58_13 = e3 & op(e0, e2) = e3
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (12591), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12592) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (222), (231),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (10197), (12338), (12391), (12469),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12474), (12478), (12592), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #841.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12593) all_58_9 = e3 & op(e3, e0) = e3
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12593) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12594) op(e3, e0) = e3
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12478), (12594), (function-axioms) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12595) all_58_10 = e2 & op(e2, e0) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12595) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12596) op(e2, e0) = e2
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (10197), (12459), (12469),
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12596), (function-axioms) are inconsistent by
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #840.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12597) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12338), (12474), (12597) are
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1058.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12598) all_58_10 = e1 & op(e2, e0) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12598) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12599) op(e2, e0) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (12304), (12599), (function-axioms)
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12600) all_58_12 = e1 & op(e0, e3) = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12600) implies:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601) all_58_12 = e1
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12602) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12602) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12603) all_58_2 = e1 & op(e2, e3) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12459), (12603) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #852.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12604) all_58_3 = e1 & op(e2, e2) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (12604) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12605) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12605) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12606) all_58_5 = e1 & op(e2, e1) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12606) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12607) all_58_5 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12608) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12608) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12609) all_58_4 = e3 & op(e3, e1) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12609) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12610) all_58_4 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12611) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12611) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12612) all_58_0 = e1 & op(e3, e3) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12612) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12613) op(e3, e3) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12049), (12613), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12614) all_58_1 = e1 & op(e3, e2) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12614) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12615) all_58_1 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12616) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12616) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12617) all_58_6 = e3 & op(e1, e3) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12617) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12618) all_58_6 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12619) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12619) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12620) all_58_0 = e2 & op(e3, e3) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12620) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12621) op(e3, e3) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12049), (12621), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12622) all_58_1 = e2 & op(e3, e2) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12622) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12623) all_58_1 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12615), (12623) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12624) e2 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (12453),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12607), (12610), (12624) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #839.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12625) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12625) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12626) all_58_4 = e2 & op(e3, e1) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12626) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12627) all_58_4 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (227), (230), (232), (10191), (10197),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12338), (12391), (12459),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601), (12627), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12628) all_58_9 = e2 & op(e3, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12628) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12629) op(e3, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12630) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12630) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12631) all_58_6 = e1 & op(e1, e3) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12631) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12632) all_58_6 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12618), (12632) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1758.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12633) all_58_7 = e1 & op(e1, e2) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12633) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12634) all_58_7 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12635) op(e1, e2) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (235), (237),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (10198), (12615), (12634), (12635),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1717.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12636) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12636) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12637) all_58_8 = e1 & op(e1, e1) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12637) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12638) op(e1, e1) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12287), (12638), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12639) all_58_11 = e1 & op(e1, e0) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12639) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12640) all_58_11 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (231), (233),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12338), (12607), (12629), (12640),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #914.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12641) all_58_7 = e3 & op(e1, e2) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12641) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12642) op(e1, e2) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (12642), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12643) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12643) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12644) all_58_8 = e3 & op(e1, e1) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12287), (12644), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12645) all_58_11 = e3 & op(e1, e0) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12645) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12646) all_58_11 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12647) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12647) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12648) all_58_9 = e2 & op(e3, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12648) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12649) op(e3, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12650) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12650) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12651) all_58_12 = e3 & op(e0, e3) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12651) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12652) all_58_12 = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12601), (12652) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12653) e3 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12646), (12653) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12654) all_58_11 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (222), (231), (233),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12338), (12607), (12649), (12654),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #914.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12655) all_58_13 = e3 & op(e0, e2) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (12655), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12656) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (222), (231),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (10197), (12338), (12391), (12607),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12646), (12649), (12656), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #841.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12657) all_58_10 = e2 & op(e2, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12657) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12658) op(e2, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (231), (10197), (12459), (12607),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12658), (function-axioms) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #840.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12659) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12659) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12660) all_58_11 = e2 & op(e1, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12660) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12661) all_58_11 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12646), (12661) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12662) e3 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12610), (12662) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12663) all_58_4 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (164), (165),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (227), (230), (232), (10191), (10197),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12294), (12304), (12338), (12391), (12459),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12601), (12663), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #846.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12664) all_58_15 = e2 & op(e0, e0) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12664) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12665) all_58_15 = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12338), (12665) imply:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12666) e2 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (12453),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12607), (12610), (12666) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #839.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12667) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12667) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12668) all_58_4 = e1 & op(e3, e1) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12610), (12668) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12669) all_58_9 = e1 & op(e3, e0) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12669) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12670) all_58_9 = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (10192), (12328), (12670),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1600.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12671) all_58_5 = e3 & op(e2, e1) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (12671), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12672) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12672) gives:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12673) all_58_8 = e3 & op(e1, e1) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12287), (12673), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2018.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12674) all_58_14 = e3 & op(e0, e1) = e3
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (12391), (12674), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12675) all_58_10 = e1 & op(e2, e0) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12675) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12676) op(e2, e0) = e1
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (12304), (12676), (function-axioms)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12677) all_58_3 = e2 & op(e2, e2) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12677) implies:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12678) op(e2, e2) = e2
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (12678), (function-axioms) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12679) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (12304), (12397), (12679),
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | #845.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (12680) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12045), (12323), (12395), (12680) are
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2066.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | (12681) all_54_14 = e1 | all_54_14 = e0
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (12308), (12324), (12681) are inconsistent
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1935.
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | (12682) all_54_15 = e0
% 235.87/44.25 | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (12312), (12682) are inconsistent by
% 235.87/44.25 | | | | | | | | | | | | | | | | | sub-proof #1737.
% 235.87/44.25 | | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | | |
% 235.87/44.25 | | | | | | | | | End of split
% 235.87/44.25 | | | | | | | | |
% 235.87/44.25 | | | | | | | | End of split
% 235.87/44.25 | | | | | | | |
% 235.87/44.25 | | | | | | | Case 2:
% 235.87/44.25 | | | | | | | |
% 235.87/44.25 | | | | | | | | (12683) all_12_2 = e3
% 235.87/44.26 | | | | | | | | (12684) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 235.87/44.26 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 235.87/44.26 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3) =
% 235.87/44.26 | | | | | | | | all_12_1 & $i(all_12_1))
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | COMBINE_EQS: (346), (12683) imply:
% 235.87/44.26 | | | | | | | | (12685) all_4_2 = e3
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | COMBINE_EQS: (334), (12685) imply:
% 235.87/44.26 | | | | | | | | (12686) all_26_2 = e3
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | COMBINE_EQS: (254), (12685) imply:
% 235.87/44.26 | | | | | | | | (12687) all_56_31 = e3
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | REDUCE: (386), (12685) imply:
% 235.87/44.26 | | | | | | | | (12688) ~ (all_52_11 = e3)
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | REDUCE: (387), (12685) imply:
% 235.87/44.26 | | | | | | | | (12689) ~ (all_52_12 = e3)
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | REDUCE: (389), (12685) imply:
% 235.87/44.26 | | | | | | | | (12690) ~ (all_52_14 = e3)
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | BETA: splitting (230) gives:
% 235.87/44.26 | | | | | | | |
% 235.87/44.26 | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | |
% 235.87/44.26 | | | | | | | | | (12691) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 235.87/44.26 | | | | | | | | | & op(e2, e1) = e3)
% 235.87/44.26 | | | | | | | | |
% 235.87/44.26 | | | | | | | | | BETA: splitting (12691) gives:
% 235.87/44.26 | | | | | | | | |
% 235.87/44.26 | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | (12692) all_58_4 = e3 & op(e3, e1) = e3
% 235.87/44.26 | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | ALPHA: (12692) implies:
% 235.87/44.26 | | | | | | | | | | (12693) all_58_4 = e3
% 235.87/44.26 | | | | | | | | | | (12694) op(e3, e1) = e3
% 235.87/44.26 | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | BETA: splitting (226) gives:
% 235.87/44.26 | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | (12695) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 235.87/44.26 | | | | | | | | | | | & op(e1, e2) = e3)
% 235.87/44.26 | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | BETA: splitting (12695) gives:
% 235.87/44.26 | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | (12696) all_58_6 = e3 & op(e1, e3) = e3
% 235.87/44.26 | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | ALPHA: (12696) implies:
% 235.87/44.26 | | | | | | | | | | | | (12697) all_58_6 = e3
% 235.87/44.26 | | | | | | | | | | | | (12698) op(e1, e3) = e3
% 235.87/44.26 | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | BETA: splitting (222) gives:
% 235.87/44.26 | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | (12699) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 235.87/44.26 | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | BETA: splitting (12699) gives:
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | (12700) all_58_9 = e3 & op(e3, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | ALPHA: (12700) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12701) op(e3, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REF_CLOSE: (168), (12689), (12701), (function-axioms) are
% 235.87/44.26 | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | (12702) all_58_10 = e3 & op(e2, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | ALPHA: (12702) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12703) op(e2, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 235.87/44.26 | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (12703) gives:
% 235.87/44.26 | | | | | | | | | | | | | | (12704) all_52_13 = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (10192), (12704) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12705) $false
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | CLOSE: (12705) is inconsistent.
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | End of split
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | (12706) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 235.87/44.26 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | BETA: splitting (12706) gives:
% 235.87/44.26 | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | (12707) all_58_11 = e3 & op(e1, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | ALPHA: (12707) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12708) op(e1, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REF_CLOSE: (160), (12690), (12708), (function-axioms) are
% 235.87/44.26 | | | | | | | | | | | | | | inconsistent by sub-proof #2149.
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | (12709) all_58_15 = e3 & op(e0, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | ALPHA: (12709) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12710) all_58_15 = e3
% 235.87/44.26 | | | | | | | | | | | | | | (12711) op(e0, e0) = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 235.87/44.26 | | | | | | | | | | | | | | e3, e1, simplifying with (163), (12698) gives:
% 235.87/44.26 | | | | | | | | | | | | | | (12712) all_52_2 = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 235.87/44.26 | | | | | | | | | | | | | | e1, e3, simplifying with (169), (12694) gives:
% 235.87/44.26 | | | | | | | | | | | | | | (12713) all_52_8 = e3
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (144), (12712) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12714) ~ (all_52_3 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | SIMP: (12714) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12715) ~ (all_52_3 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (143), (12712) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12716) ~ (all_52_6 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (141), (12712) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12717) ~ (all_52_14 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (123), (12713) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12718) ~ (all_52_9 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (121), (12713) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12719) ~ (all_52_11 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (120), (12713) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12720) ~ (all_52_12 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (363), (12713) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12721) ~ (all_10_2 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | SIMP: (12721) implies:
% 235.87/44.26 | | | | | | | | | | | | | | (12722) ~ (all_10_2 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | REDUCE: (380), (12713) imply:
% 235.87/44.26 | | | | | | | | | | | | | | (12723) ~ (all_6_2 = e3)
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 235.87/44.26 | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | (12724) ~ (all_16_2 = e0)
% 235.87/44.26 | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | REDUCE: (342), (12724) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | (12725) ~ (all_10_2 = e0)
% 235.87/44.26 | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 235.87/44.26 | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | (12726) all_54_0 = e3
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (12726) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | (12727) all_10_2 = e3
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | REDUCE: (12722), (12727) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | (12728) $false
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | CLOSE: (12728) is inconsistent.
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | (12729) ~ (all_54_0 = e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | (12730) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | BETA: splitting (12730) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12731) all_54_0 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (12731) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12732) all_10_2 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12733) all_24_2 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12734) all_32_2 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12735) all_56_1 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | REDUCE: (355), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12736) ~ (all_52_1 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | REDUCE: (361), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12737) ~ (all_52_4 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | REDUCE: (365), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12738) ~ (all_52_12 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | REDUCE: (12722), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12739) ~ (e3 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | REDUCE: (45), (12732) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | (12740) op(e3, e3) = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | (12741) ~ (all_18_2 = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | REDUCE: (339), (12741) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | (12742) ~ (all_6_2 = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | (12743) ~ (all_26_2 = e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | REDUCE: (12686), (12743) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | (12744) $false
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | CLOSE: (12744) is inconsistent.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | (12745) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | (12746) ~ (all_36_2 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (12746) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | (12747) ~ (all_6_2 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | (12748) all_54_10 = e3
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (12748) are inconsistent by
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | sub-proof #2313.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | (12749) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12749) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | (12750) all_54_10 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (12747), (12750) are inconsistent by
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | (12751) all_54_10 = e1 | all_54_10 = e0
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12751) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12752) all_54_10 = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (12752) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12753) all_6_2 = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12753) implies:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12754) all_6_2 = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (12754) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12755) all_56_21 = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (12754) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12756) ~ (all_52_6 = e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (12754) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12757) ~ (all_52_9 = e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (12754) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | (12758) ~ (all_52_14 = e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (12759) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12759) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12760) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (12736), (12755), (12760),
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | #1003.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12761) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12687), (12689), (12761),
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | #838.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (12762) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12762) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (12763) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12763) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12764) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12764) implies:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12765) ~ (all_56_21 = e1)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12755), (12765) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12766) $false
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12766) is inconsistent.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | (12767) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12767) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12768) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12768) implies:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12769) op(e2, e1) = e1
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (12757), (12769), (function-axioms) are
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12770) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12770) implies:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12771) op(e0, e2) = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12772) op(e2, e0) = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (12771) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12773) all_52_7 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (12772) gives:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12774) all_52_13 = e2
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (12773) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12775) ~ (all_52_6 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (12774) imply:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12776) ~ (all_52_14 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (12776) implies:
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12777) ~ (all_52_14 = e2)
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (126), (193), (195), (258), (267), (10189),
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12690), (12756), (12758), (12775), (12777) are
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #837.
% 235.87/44.26 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12778) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (12735), (12755), (12758), (12778),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | #1343.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | (12779) all_54_10 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (12742), (12779) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12780) all_36_2 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (12780) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12781) all_6_2 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (12781) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12782) all_56_21 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (12781) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12783) ~ (all_52_6 = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (12781) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12784) ~ (all_52_9 = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (12781) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12785) ~ (all_52_11 = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (12781) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | (12786) op(e1, e1) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | (12787) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12787) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12788) all_58_1 = e2 & op(e3, e2) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12788) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12789) all_58_1 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (12693),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12740), (12789), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2180.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12790) all_58_3 = e2 & op(e2, e2) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10197), (12790) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1458.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | (12791) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12791) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12792) all_58_7 = e2 & op(e1, e2) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12792) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12793) all_58_7 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | (12794) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12794) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12795) all_58_12 = e2 & op(e0, e3) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12795) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12796) all_58_12 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12797) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12797) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12798) all_58_6 = e0 & op(e1, e3) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12697), (12798) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2213.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12799) all_58_7 = e0 & op(e1, e2) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12793), (12799) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12800) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12800) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12801) all_58_8 = e0 & op(e1, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12801) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12802) op(e1, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12786), (12802), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12803) all_58_11 = e0 & op(e1, e0) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12803) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12804) all_58_11 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12805) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12805) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12806) all_58_0 = e1 & op(e3, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12806) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12807) op(e3, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12740), (12807), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12808) all_58_2 = e1 & op(e2, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12808) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12809) all_58_2 = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12810) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (12740), (12809), (12810),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1761.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12811) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12811) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12812) all_58_6 = e0 & op(e1, e3) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12812) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813) all_58_6 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (12786), (12804),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12813), (function-axioms) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12814) all_58_12 = e0 & op(e0, e3) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12796), (12814) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1760.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12815) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12815) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12816) all_58_6 = e1 & op(e1, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12697), (12816) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12817) all_58_12 = e1 & op(e0, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12796), (12817) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1763.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12818) all_58_13 = e2 & op(e0, e2) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (94), (118), (126),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (136), (157), (159), (160), (162), (165), (167),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (168), (170), (203), (211), (212), (214), (216),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (217), (221), (222), (223), (224), (225), (226),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (239), (240), (241), (242),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (282), (10184),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (10191), (10197), (12684), (12688), (12689),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12693), (12694), (12697), (12698), (12710),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12711), (12735), (12736), (12737), (12740),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12745), (12782), (12783), (12784), (12785),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12786), (12818), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #807.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | (12819) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12819) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12820) all_58_14 = e2 & op(e0, e1) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12820) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12821) all_58_14 = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12822) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12822) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12823) all_58_4 = e0 & op(e3, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12693), (12823) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12824) all_58_5 = e0 & op(e2, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12824) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | (12825) op(e2, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12826) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12826) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12827) all_58_6 = e0 & op(e1, e3) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12697), (12827) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2213.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12828) all_58_7 = e0 & op(e1, e2) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12793), (12828) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12829) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12829) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12830) all_58_8 = e0 & op(e1, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12830) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12831) op(e1, e1) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12786), (12831), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12832) all_58_11 = e0 & op(e1, e0) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12832) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12833) all_58_11 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12834) op(e1, e0) = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12835) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12835) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12836) all_58_6 = e1 & op(e1, e3) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12697), (12836) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12837) all_58_7 = e1 & op(e1, e2) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12793), (12837) are inconsistent by
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2224.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12838) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12838) gives:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12839) all_58_8 = e1 & op(e1, e1) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12839) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12840) all_58_8 = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12841) op(e1, e1) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (220),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (225), (226), (232), (235), (236),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (239), (240), (241), (242), (244), (10189),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12693), (12697), (12710), (12711),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12740), (12786), (12793), (12825), (12833),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12839), (12840), (12841), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12842) all_58_11 = e1 & op(e1, e0) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12842) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12843) op(e1, e0) = e1
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12834), (12843), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2284.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | (12844) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12786), (12821), (12844), (function-axioms)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2035.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12845) all_58_15 = e2 & op(e0, e0) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12845) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | (12846) op(e0, e0) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (12846), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12847) all_58_13 = e2 & op(e0, e2) = e2
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (94), (118), (126),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (136), (157), (159), (160), (162), (165), (167),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (168), (170), (203), (211), (212), (214), (216),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (217), (221), (222), (223), (224), (225), (226),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (239), (240), (241), (242),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (282), (10184),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (10191), (10197), (12684), (12688), (12689),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12693), (12694), (12697), (12698), (12710),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12711), (12735), (12736), (12737), (12740),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12745), (12782), (12783), (12784), (12785),
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | (12786), (12847), (function-axioms) are
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #807.
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12848) all_18_2 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12849) ( ~ (all_18_0 = e2) & op(all_18_1, e1) = all_18_0
% 235.87/44.27 | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_18_1 & $i(all_18_0) &
% 235.87/44.27 | | | | | | | | | | | | | | | | | | $i(all_18_1)) | ( ~ (all_18_1 = e3) & op(e1, e0)
% 235.87/44.27 | | | | | | | | | | | | | | | | | | = all_18_1 & $i(all_18_1))
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (339), (12848) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12850) all_6_2 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | SIMP: (12850) implies:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12851) all_6_2 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (12851) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12852) all_28_2 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (12851) imply:
% 235.87/44.27 | | | | | | | | | | | | | | | | | | (12853) all_56_21 = e0
% 235.87/44.27 | | | | | | | | | | | | | | | | | |
% 235.87/44.27 | | | | | | | | | | | | | | | | | | REDUCE: (385), (12851) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | (12854) ~ (all_52_14 = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | REDUCE: (391), (12851) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | (12855) ~ (e3 = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | REDUCE: (39), (12851) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | (12856) op(e1, e1) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | (12857) ~ (all_24_2 = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | REDUCE: (12733), (12857) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | (12858) $false
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | CLOSE: (12858) is inconsistent.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | (12859) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | (12860) ~ (all_26_2 = e3)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (12686), (12860) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | (12861) $false
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | CLOSE: (12861) is inconsistent.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | (12862) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (73) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | (12863) ~ (all_28_2 = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12852), (12863) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | (12864) $false
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (12864) is inconsistent.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | (12865) ( ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = all_28_1 & $i(all_28_0) &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)) | ( ~ (all_28_1 = e2) & op(e1, e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | = all_28_1 & $i(all_28_1))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | (12866) ~ (all_32_2 = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12734), (12866) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | (12867) $false
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12867) is inconsistent.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | (12868) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | (12869) ~ (all_42_2 = e3)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (12869) imply:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | (12870) $false
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (12870) is inconsistent.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | (12871) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | (12872) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12872) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12873) all_58_12 = e2 & op(e0, e3) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12873) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12874) all_58_12 = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (239), (241), (12697),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12740), (12874), (function-axioms) are
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1756.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12875) all_58_13 = e2 & op(e0, e2) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12875) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12876) all_58_13 = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | (12877) op(e0, e2) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (12878) all_58_15 = e0 & op(e0, e0) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12878) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (12879) op(e0, e0) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12711), (12879), (function-axioms) are
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (12880) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12880) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | (12881) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12882) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12882) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12883) all_58_1 = e0 & op(e3, e2) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12883) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12884) all_58_1 = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885) op(e3, e2) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12886) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12740), (12884), (12886),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1564.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12887) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12887) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12888) all_58_4 = e1 & op(e3, e1) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (12888) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12889) all_58_9 = e1 & op(e3, e0) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12889) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12890) all_58_9 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12891) op(e3, e0) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12892) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12892) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12893) all_58_1 = e1 & op(e3, e2) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12884), (12893) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2015.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12894) all_58_3 = e1 & op(e2, e2) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (12894) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12895) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12895) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12896) all_58_7 = e1 & op(e1, e2) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12896) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12897) all_58_7 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12898) op(e1, e2) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12899) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12899) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12900) all_58_6 = e2 & op(e1, e3) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12697), (12900) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2219.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12901) all_58_7 = e2 & op(e1, e2) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (10197),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12876), (12897), (12901) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #802.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12902) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12902) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12903) all_58_8 = e2 & op(e1, e1) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12903) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12904) op(e1, e1) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12856), (12904), (function-axioms) are
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12905) all_58_11 = e2 & op(e1, e0) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12905) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12906) op(e1, e0) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12881) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12907) all_58_12 = e0 & op(e0, e3) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12907) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12908) all_58_12 = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12909) op(e0, e3) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12910) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12910) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12911) all_58_12 = e1 & op(e0, e3) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12911) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12912) op(e0, e3) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12684), (12862), (12909), (12912),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12913) all_58_13 = e1 & op(e0, e2) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12913) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12914) all_58_13 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (235), (237), (10197),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12897), (12914) are inconsistent by sub-proof
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1457.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12915) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12915) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12916) all_58_14 = e1 & op(e0, e1) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12916) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12917) all_58_14 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12918) op(e0, e1) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12919) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12919) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12920) all_58_0 = e1 & op(e3, e3) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12920) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12921) op(e3, e3) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (240), (244), (12693),
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12890), (12921), (function-axioms) are
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1292.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12922) all_58_2 = e1 & op(e2, e3) = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12922) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12923) all_58_2 = e1
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12924) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12924) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12925) all_58_4 = e2 & op(e3, e1) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12693), (12925) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1476.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12926) all_58_5 = e2 & op(e2, e1) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12926) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927) all_58_5 = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12928) op(e2, e1) = e2
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12929) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12929) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12930) all_58_2 = e0 & op(e2, e3) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12923), (12930) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1972.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12931) all_58_3 = e0 & op(e2, e2) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (12931) are inconsistent by
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12932) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12932) gives:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12933) all_58_5 = e0 & op(e2, e1) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12933) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12934) op(e2, e1) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12928), (12934), (function-axioms) are
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12935) all_58_10 = e0 & op(e2, e0) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12935) implies:
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12936) op(e2, e0) = e0
% 235.87/44.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (12918) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12937) all_52_11 = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e2,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (12877) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12938) all_52_7 = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e1, simplifying with (160), (12906) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12939) all_52_14 = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (12898) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12940) all_52_6 = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (12936) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12941) all_52_13 = e0
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (12928) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12942) all_52_9 = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (12891) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12943) all_52_12 = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e0,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (12885) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12944) all_52_4 = e0
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12738), (12943) imply:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12945) ~ (e2 = e1)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12946) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12946) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12947) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12947) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12948) op(e3, e1) = all_56_17
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12949) op(e3, all_56_17) = e3
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12694), (12740), (12948), (12949),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2098.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12950) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12950) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) op(e2, e1) = all_56_19
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12952) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12952) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12953) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12953) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12954) op(e3, e2) = all_56_9
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955) op(e3, all_56_9) = e3
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12956) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12956) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12957) op(e3, e2) = all_24_1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12689), (12868), (12885), (12954),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955), (12957), (function-axioms) are
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #801.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12958) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12958) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12959) op(e3, e2) = all_24_1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12689), (12868), (12885), (12954),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12955), (12959), (function-axioms) are
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #801.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12960) all_56_10 = e2 & op(e2, all_56_11) = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12960) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12961) op(e2, all_56_11) = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10186), (12961) imply:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12962) op(e2, e3) = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (12736), (12962), (function-axioms) are
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12963) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12963) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12964) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12964) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12965) op(e1, e2) = all_56_13
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12966) op(e1, all_56_13) = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12967) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12967) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12968) op(e3, e2) = all_24_1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12868) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (12898),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12965) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12969) all_56_13 = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (12928),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) gives:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12970) all_56_19 = e2
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12966), (12969) imply:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12971) op(e1, e1) = e1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (227), (12693), (12918), (12928),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12971), (function-axioms) are inconsistent by
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12972) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12972) implies:
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12973) ~ (all_32_1 = e0)
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12974) op(e3, e2) = all_32_1
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12885), (12968), (12973), (12974),
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2065.
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 235.87/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12975) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12975) implies:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12976) ~ (all_24_1 = e1)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12977) op(e3, e2) = all_24_1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12868) gives:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12978) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12978) implies:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12979) op(e3, e2) = all_32_1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (12898),
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12965) gives:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12980) all_56_13 = e1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (12928),
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12951) gives:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12981) all_56_19 = e2
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_32_1,
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (12885), (12979) gives:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12982) all_32_1 = e0
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_24_1,
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_32_1, e2, e3, simplifying with (12977),
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12979) gives:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12983) all_32_1 = all_24_1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12982), (12983) imply:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12984) all_24_1 = e0
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12976), (12984) imply:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12985) ~ (e1 = e0)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12966), (12980) imply:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12986) op(e1, e1) = e1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (227), (12693), (12918), (12928),
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12986), (function-axioms) are inconsistent by
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1503.
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12987) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12987) implies:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12988) ~ (all_32_1 = e0)
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12989) op(e3, e2) = all_32_1
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12885), (12977), (12988), (12989),
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2065.
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12990) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12990) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12991) op(e0, e2) = all_56_15
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12992) op(e0, all_56_15) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12993) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12993) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12994) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (12710), (12868), (12877),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885), (12908), (12917), (12991), (12992),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12994), (function-axioms) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #800.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12995) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12995) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12996) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (12710), (12868), (12877),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12885), (12908), (12917), (12991), (12992),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12996), (function-axioms) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #800.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12997) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12997) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12998) all_56_20 = e1 & op(e1, all_56_21) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (12998) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12999) op(e1, all_56_21) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12853), (12999) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13000) op(e1, e0) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12865) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13001) ~ (all_28_0 = e3) & op(all_28_1, e1) = all_28_0 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_28_1 & $i(all_28_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13001) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13002) op(e1, e0) = all_28_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13003) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13003) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13004) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (12693),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849), (12868), (12885), (12906), (12917),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927), (13000), (13002), (13004),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #798.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13005) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13005) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13006) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (12693),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12849), (12868), (12885), (12906), (12917),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12927), (13000), (13002), (13006),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #798.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13007) ~ (all_28_1 = e2) & op(e1, e0) = all_28_1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_28_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13007) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13008) ~ (all_28_1 = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13009) op(e1, e0) = all_28_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12906), (13008), (13009), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1944.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13010) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13010) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13011) op(e0, e1) = all_56_23
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012) op(e0, all_56_23) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12859) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13013) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13013) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13014) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12711), (12868), (12885), (12918), (13011),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012), (13014), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #797.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13015) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13015) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13016) op(e3, e2) = all_24_1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12711), (12868), (12885), (12918), (13011),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13012), (13016), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #797.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13017) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13017) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13018) all_58_8 = e2 & op(e1, e1) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13018) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13019) op(e1, e1) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12856), (13019), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13020) all_58_14 = e2 & op(e0, e1) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13020) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13021) all_58_14 = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (167),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (217), (218), (220), (224),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (231), (232), (233),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (239), (241), (242), (10197),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (12684), (12687), (12689), (12693),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12697), (12710), (12711), (12736), (12740),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12856), (12862), (12871), (13021),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13022) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13022) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13023) all_58_6 = e1 & op(e1, e3) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12697), (13023) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1803.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13024) all_58_12 = e1 & op(e0, e3) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13024) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13025) op(e0, e3) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (12684), (12862), (12909), (13025),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13026) all_58_15 = e1 & op(e0, e0) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12710), (13026) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13027) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (228), (229), (12693),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12856), (12877), (13027), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1011.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13028) all_58_13 = e1 & op(e0, e2) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12876), (13028) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1751.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13029) all_58_3 = e0 & op(e2, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (13029) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13030) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13030) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13031) all_58_7 = e0 & op(e1, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13031) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13032) all_58_7 = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13033) op(e1, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (162), (224), (225),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12697), (12856), (13032), (13033),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1018.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13034) all_58_13 = e0 & op(e0, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13034) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13035) op(e0, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (12877), (13035), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13036) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13036) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13037) all_58_14 = e2 & op(e0, e1) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13037) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13038) all_58_14 = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (167),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (210), (216), (217), (218), (220), (224),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (225), (227), (228), (229), (231), (232), (233),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (239), (241), (242), (10197),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (12684), (12687), (12689), (12693),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12697), (12710), (12711), (12736), (12740),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (12856), (12862), (12871), (13038),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | #792.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13039) all_58_15 = e2 & op(e0, e0) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13039) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | (13040) op(e0, e0) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (13040), (function-axioms) are
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | (13041) all_54_0 = e1 | all_54_0 = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (10199), (12725), (13041) are inconsistent
% 236.09/44.30 | | | | | | | | | | | | | | | | | by sub-proof #2320.
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | (13042) all_16_2 = e0
% 236.09/44.30 | | | | | | | | | | | | | | | (13043) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 236.09/44.30 | | | | | | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 236.09/44.30 | | | | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | COMBINE_EQS: (342), (13042) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13044) all_10_2 = e0
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | COMBINE_EQS: (350), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13045) all_50_2 = e0
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13046) all_56_1 = e0
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | REDUCE: (359), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13047) ~ (all_52_3 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | REDUCE: (365), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13048) ~ (all_52_12 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | REDUCE: (12722), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13049) ~ (e3 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | REDUCE: (10199), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13050) ~ (e1 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | REDUCE: (45), (13044) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | (13051) op(e3, e3) = e0
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 236.09/44.30 | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | (13052) ~ (all_18_2 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | REDUCE: (339), (13052) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | (13053) ~ (all_6_2 = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | (13054) ~ (all_26_2 = e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | REDUCE: (12686), (13054) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | (13055) $false
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | CLOSE: (13055) is inconsistent.
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | (13056) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.09/44.30 | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | (13057) ~ (all_36_2 = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | REDUCE: (328), (13057) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | (13058) ~ (all_6_2 = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | (13059) all_54_10 = e3
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (391), (13059) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | sub-proof #2313.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | (13060) ~ (all_54_10 = e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | (13061) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | BETA: splitting (13061) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | (13062) all_54_10 = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (13058), (13062) are inconsistent by
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | (13063) ~ (all_54_10 = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | (13064) all_54_10 = e1 | all_54_10 = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13064) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13065) all_54_10 = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (13065) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13066) all_6_2 = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | SIMP: (13066) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13067) all_6_2 = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (13067) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13068) all_56_21 = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (381), (13067) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13069) ~ (all_52_9 = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (383), (13067) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13070) ~ (all_52_11 = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (13067) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | (13071) ~ (all_52_14 = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (13072) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13072) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (13073) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (10187), (12687), (13068), (13073),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | #791.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (13074) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13074) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13075) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13075) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13076) ~ (all_56_31 = e3)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12687), (13076) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13077) $false
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13077) is inconsistent.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13078) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (168), (12689), (13047), (13078),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | #1794.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (13079) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13079) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (13080) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13080) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13081) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13081) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13082) ~ (all_56_21 = e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13068), (13082) imply:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13083) $false
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13083) is inconsistent.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13084) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (13046), (13069), (13084),
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | #1295.
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (13085) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13085) gives:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13086) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13086) implies:
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13087) op(e0, e2) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | | (13088) op(e2, e0) = e0
% 236.09/44.30 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (13087) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13089) all_52_7 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (13088) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13090) all_52_13 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13089) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13091) ~ (all_52_11 = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13091) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13092) ~ (all_52_11 = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13093) all_54_14 = e3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (12688), (13093) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1796.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13094) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13094) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13095) all_54_14 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (13095) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13096) all_52_11 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13096) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13097) all_52_11 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (13097) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13098) ~ (all_52_3 = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13099) all_54_12 = e3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (12715), (13099) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13100) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13100) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13101) all_54_12 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13098), (13101) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13102) all_54_12 = e1 | all_54_12 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13102) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13103) all_54_12 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (13103) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13104) all_52_3 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13104) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13105) all_52_3 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (13105) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13106) ~ (all_52_1 = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (167), (232), (297), (381), (391),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (13053), (13058), (13061), (13088),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13106), (function-axioms) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #790.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13107) all_54_12 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (13047), (13107) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2068.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13108) all_54_14 = e1 | all_54_14 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (13070), (13092), (13108) are inconsistent
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1935.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13109) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (13068), (13071), (13109),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | #1409.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13110) all_54_10 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (13053), (13110) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | sub-proof #2303.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13111) all_36_2 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13112) ( ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_36_1 & $i(all_36_0) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | $i(all_36_1)) | ( ~ (all_36_1 = e0) & op(e1, e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | = all_36_1 & $i(all_36_1))
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (13111) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13113) all_6_2 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | SIMP: (13113) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13114) all_6_2 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13115) all_40_2 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13116) all_56_21 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | REDUCE: (381), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13117) ~ (all_52_9 = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | REDUCE: (385), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13118) ~ (all_52_14 = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | REDUCE: (391), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13119) ~ (e3 = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | REDUCE: (39), (13114) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | (13120) op(e1, e1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | (13121) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (13121) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13122) all_58_4 = e2 & op(e3, e1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12693), (13122) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | sub-proof #1476.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13123) all_58_5 = e2 & op(e2, e1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (13123) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13124) all_58_5 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13125) op(e2, e1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13126) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (241), (243),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (10197), (12697), (13051), (13126),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | #789.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13127) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13127) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13128) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13128) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13129) op(e2, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13125), (13129), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13130) all_58_10 = e0 & op(e2, e0) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13130) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13131) op(e2, e0) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | (13132) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13132) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13133) all_58_9 = e2 & op(e3, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13133) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13134) all_58_9 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13135) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (12693), (13125), (13135),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | #1504.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13136) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13136) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13137) all_58_8 = e0 & op(e1, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13137) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13138) op(e1, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13120), (13138), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13139) all_58_14 = e0 & op(e0, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13139) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13140) op(e0, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13141) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13141) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13142) all_58_4 = e1 & op(e3, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13142) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13143) all_58_5 = e1 & op(e2, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13143) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13144) all_58_5 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13124), (13144) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1665.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13145) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13145) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13146) all_58_8 = e1 & op(e1, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13146) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13147) all_58_8 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13148) op(e1, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13149) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13149) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13150) all_58_9 = e1 & op(e3, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13134), (13150) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1518.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13151) all_58_10 = e1 & op(e2, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13151) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13152) op(e2, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (13131), (13152), (function-axioms)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13153) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13153) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13154) all_58_11 = e1 & op(e1, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13154) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13155) all_58_11 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156) op(e1, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (225),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (10189), (13147), (13148), (13155),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13156), (function-axioms) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #787.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13157) all_58_15 = e1 & op(e0, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13157) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13158) all_58_15 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12710), (13158) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13159) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13159) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13160) op(e0, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13140), (13160), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2158.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13161) all_58_10 = e2 & op(e2, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13161) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13162) op(e2, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13131), (13162), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | (13163) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13163) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13164) all_58_11 = e2 & op(e1, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13164) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13165) all_58_11 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13166) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13166) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13167) all_58_4 = e0 & op(e3, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (12693), (12697),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13165), (13167), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #786.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13168) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13168) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13169) op(e2, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13125), (13169), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13170) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13170) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13171) all_58_8 = e0 & op(e1, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13171) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13172) op(e1, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13120), (13172), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13173) all_58_14 = e0 & op(e0, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13173) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13174) op(e0, e1) = e0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13175) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13175) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13176) all_58_4 = e1 & op(e3, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13176) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13177) all_58_5 = e1 & op(e2, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13124), (13177) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13178) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13178) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13179) all_58_8 = e1 & op(e1, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13179) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13180) all_58_8 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13181) op(e1, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (216), (223),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (10189), (12697), (12711), (13120),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13165), (13180), (13181), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13182) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13182) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13183) op(e0, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13174), (13183), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2158.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13184) all_58_15 = e2 & op(e0, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13184) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13185) op(e0, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (13185), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | (13186) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | BETA: splitting (13186) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13187) all_58_8 = e2 & op(e1, e1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | ALPHA: (13187) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | (13188) all_58_8 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13189) ~ (all_40_2 = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | REDUCE: (13115), (13189) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13190) $false
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13190) is inconsistent.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | (13191) ( ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = all_40_1 & $i(all_40_0) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)) | ( ~ (all_40_1 = e3) & op(e1, e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | = all_40_1 & $i(all_40_1))
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13192) ~ (all_42_2 = e3)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (13192) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13193) $false
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13193) is inconsistent.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | (13194) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | (13195) ~ (all_50_2 = e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13045), (13195) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | (13196) $false
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13196) is inconsistent.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | (13197) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (13198) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13198) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13199) all_56_0 = e3 & op(e3, all_56_1) = e3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13199) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13200) op(e3, all_56_1) = e3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13046), (13200) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13201) op(e3, e0) = e3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12689), (13201), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13202) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13202) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13203) op(e2, e3) = all_56_3
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13204) op(e2, all_56_3) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (13203)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13205) all_56_3 = all_52_1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13204), (13205) imply:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | (13206) op(e2, all_52_1) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13207) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13207) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13208) all_58_0 = e1 & op(e3, e3) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13208) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13209) op(e3, e3) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13051), (13209), (function-axioms) are
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13210) all_58_1 = e1 & op(e3, e2) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13210) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13211) all_58_1 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (235), (237), (240),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (10184), (10187), (10188),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192), (10197), (10198), (12684), (12687),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12689), (12693), (12697), (12710), (12711),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043), (13046), (13047), (13048), (13051),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056), (13112), (13116), (13118), (13120),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13188), (13191), (13194), (13197), (13211),
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | (13212) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13212) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13213) all_58_4 = e1 & op(e3, e1) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13213) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13214) all_58_4 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13214) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13215) all_58_9 = e1 & op(e3, e0) = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13215) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13216) all_58_9 = e1
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13217) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13217) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13218) all_58_9 = e2 & op(e3, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13216), (13218) are inconsistent by
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1745.
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13219) all_58_10 = e2 & op(e2, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13219) implies:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13220) op(e2, e0) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13221) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13221) gives:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13222) all_58_0 = e2 & op(e3, e3) = e2
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13222) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13223) op(e3, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13051), (13223), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13224) all_58_1 = e2 & op(e3, e2) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13224) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13225) all_58_1 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13226) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (241), (243),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12697), (13051), (13226),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #789.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13227) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13227) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13228) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13228) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13229) op(e2, e1) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13230) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (165), (12693), (13229), (13230),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2041.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13231) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13231) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13232) all_58_8 = e1 & op(e1, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13232) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13233) all_58_8 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13188), (13233) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13234) e2 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13234) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13235) e2 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13225), (13235) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13236) all_58_1 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (228), (231), (235), (237), (240),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (10184), (10187), (10188),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10192), (10197), (10198), (12684), (12687),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12689), (12693), (12697), (12710), (12711),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13043), (13046), (13047), (13048), (13051),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13056), (13112), (13116), (13118), (13120),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13188), (13191), (13194), (13197), (13236),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #776.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13237) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13237) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13238) all_58_14 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13239) op(e0, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13240) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13240) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13241) all_58_2 = e1 & op(e2, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13241) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13242) op(e2, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (165), (167), (216), (227),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693), (12711), (13117), (13120), (13206),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13239), (13242), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #816.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13243) all_58_3 = e1 & op(e2, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13243) are inconsistent by
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13244) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (227), (12693), (13188),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13220), (13238), (13244), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #775.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13245) all_58_10 = e0 & op(e2, e0) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13245) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13246) op(e2, e0) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13220), (13246), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13247) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12693), (13216), (13247) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13248) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13248) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13249) all_58_11 = e2 & op(e1, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13249) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13250) all_58_11 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (216), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (10189), (12697), (12711),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13250), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #984.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13251) all_58_15 = e2 & op(e0, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13251) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13252) op(e0, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (13252), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | (13253) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13253) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13254) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13254) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13255) op(e1, e3) = all_56_5
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13256) op(e1, all_56_5) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12698), (13255), (13256), (function-axioms)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2243.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13257) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13257) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13258) op(e0, e3) = all_56_7
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13259) op(e0, all_56_7) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (13258)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13260) all_56_7 = all_52_3
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13259), (13260) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | (13261) op(e0, all_52_3) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13262) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13262) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13263) all_58_0 = e1 & op(e3, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13263) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13264) op(e3, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13051), (13264), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13265) all_58_1 = e1 & op(e3, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13265) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13266) all_58_1 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13266), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #774.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | (13267) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13267) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13268) all_58_4 = e1 & op(e3, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13268) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13269) all_58_4 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13269) are inconsistent by
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2184.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13270) all_58_9 = e1 & op(e3, e0) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13270) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13271) all_58_9 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13272) op(e3, e0) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13273) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13273) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13274) all_58_9 = e2 & op(e3, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13271), (13274) are inconsistent by
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1745.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13275) all_58_10 = e2 & op(e2, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13275) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13276) op(e2, e0) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13277) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13277) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13278) all_58_0 = e2 & op(e3, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13278) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13279) op(e3, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13051), (13279), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13280) all_58_1 = e2 & op(e3, e2) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13280) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13281) all_58_1 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13282) op(e3, e2) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13283) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (241), (243),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12697), (13051), (13283),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #789.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13284) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13284) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13285) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13285) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13286) op(e2, e1) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13287) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (165), (12693), (13286), (13287),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2041.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13288) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13288) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13289) all_58_8 = e1 & op(e1, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13289) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13290) all_58_8 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13188), (13290) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13291) e2 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13291), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #773.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13292) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13292) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13293) all_58_14 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13294) op(e0, e1) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13295) all_58_15 = e0 & op(e0, e0) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13295) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13296) op(e0, e0) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12711), (13296), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13297) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13297) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13298) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13299) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13300) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13300) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13301) all_58_2 = e1 & op(e2, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13301) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13302) all_58_2 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13303) op(e2, e3) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13304) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13304) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13305) all_58_0 = e2 & op(e3, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13305) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13306) op(e3, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (240), (242), (12693),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13281), (13306), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2180.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13307) all_58_2 = e2 & op(e2, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13307) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13308) all_58_2 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13302), (13308) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13309) e2 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13309), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #773.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13310) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13310) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13311) all_58_6 = e2 & op(e1, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12697), (13311) are inconsistent by
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2219.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13312) all_58_12 = e2 & op(e0, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13312) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13313) all_58_12 = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314) op(e0, e3) = e2
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13298) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13315) all_58_12 = e0 & op(e0, e3) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13315) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13316) op(e0, e3) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (165), (216), (227),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (12693), (12710), (12711), (13120),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13294), (13316), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #812.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13317) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13317) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13318) all_58_13 = e0 & op(e0, e2) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13318) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13319) op(e0, e2) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13320) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13320) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13321) all_58_1 = e1 & op(e3, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13321) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13322) all_58_1 = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13322), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #774.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13323) all_58_3 = e1 & op(e2, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (10190), (10197), (12710),
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13293), (13313), (13323), (function-axioms) are
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13324) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13324) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13325) all_58_7 = e1 & op(e1, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13325) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13326) op(e1, e2) = e1
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13299) gives:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13327) all_58_9 = e0 & op(e3, e0) = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13327) implies:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13328) all_58_9 = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13271), (13328) imply:
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13329) e1 = e0
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13302), (13329) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13330) all_58_2 = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (232), (10197), (13276),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13286), (13330), (function-axioms) are
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #974.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13331) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13331) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13332) all_58_10 = e0 & op(e2, e0) = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13332) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13333) op(e2, e0) = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13276), (13333), (function-axioms) are
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13334) all_58_11 = e0 & op(e1, e0) = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13334) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13335) op(e1, e0) = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (13294) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13336) all_52_11 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (13319) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13337) all_52_7 = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e2,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (13314) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13338) all_52_3 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (13335) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13339) all_52_14 = e0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (13326) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13340) all_52_6 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, e2, simplifying with (164), (13276) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13341) all_52_13 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (13303) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13342) all_52_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e0, e3, simplifying with (168), (13272) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13343) all_52_12 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e2,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (13282) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13344) all_52_4 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (13341), (13343) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13345) ~ (e2 = e1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12689), (13343) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13346) ~ (e3 = e1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13118), (13339) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13347) ~ (e2 = e0)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13348) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13348) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13349) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13349) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350) op(e3, e0) = all_56_25
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13351) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13351) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13352) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10188), (12684), (13056), (13282),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314), (13352), (function-axioms) are
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #771.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13353) all_56_10 = e2 & op(e2, all_56_11) = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13353) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13354) op(e2, all_56_11) = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10186), (13354) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13355) op(e2, e3) = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13303), (13355),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #769.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13356) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13356) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13357) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13357) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) op(e1, e2) = all_56_13
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13359) op(e1, all_56_13) = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13112) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13360) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13360) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13361) op(e1, e2) = all_36_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13362) op(all_36_1, e1) = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13191) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13363) ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0 &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13363) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) op(e1, e2) = all_40_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13365) op(all_40_1, e1) = all_40_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13197) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e2, e1, simplifying with (13361),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13366) all_40_1 = all_36_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13326),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13367) all_56_13 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13358),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13368) all_56_13 = all_40_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13367), (13368) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13369) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13369) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13370) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13366), (13370) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13371) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13371) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13372) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13365), (13370) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13373) op(e1, e1) = all_40_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13362), (13372) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13374) op(e1, e1) = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13359), (13367) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13375) op(e1, e1) = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_40_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13120), (13373) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13376) all_40_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e1, simplifying with (13373),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13374) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13377) all_40_0 = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13373), (13375) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13378) all_40_0 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13377), (13378) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13379) all_36_0 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13376), (13377) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13380) all_36_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13379), (13380),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13381) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13381) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13382) ~ (all_50_1 = e2)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13383) op(e3, e0) = all_50_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e2, e1, simplifying with (13361),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13384) all_40_1 = all_36_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13326),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13385) all_56_13 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13358),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13364) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13386) all_56_13 = all_40_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (13272),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13350) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13387) all_56_25 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_50_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (13350),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13383) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13388) all_56_25 = all_50_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13385), (13386) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13389) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13389) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13390) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13387), (13388) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13391) all_50_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13384), (13390) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13392) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13392) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13393) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13365), (13390) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13394) op(e1, e1) = all_40_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13362), (13393) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13395) op(e1, e1) = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13359), (13385) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13396) op(e1, e1) = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13395), (13396) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13397) all_36_0 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_40_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13120), (13394) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13398) all_40_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e1, simplifying with (13394),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13395) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13399) all_40_0 = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13398), (13399) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13400) all_36_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13400) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13401) all_36_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13397), (13401),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13402) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13402) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13403) ~ (all_40_1 = e3)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) op(e1, e2) = all_40_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e2, e1, simplifying with (13361),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13405) all_40_1 = all_36_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13326),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13358) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13406) all_56_13 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13358),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13404) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13407) all_56_13 = all_40_1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13406), (13407) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13408) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13408) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13409) all_40_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13405), (13409) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13410) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13410) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13411) all_36_1 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13362), (13411) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13412) op(e1, e1) = all_36_0
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13359), (13406) imply:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13413) op(e1, e1) = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13120), (13412) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13414) all_36_0 = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13412), (13413) gives:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13415) all_36_0 = e1
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13414), (13415),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #768.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13416) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13326), (13358), (13359),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13416), (function-axioms) are inconsistent by
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #767.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13417) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12684), (12711), (13056), (13314), (13319),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13417), (function-axioms) are inconsistent by
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1022.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13418) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13418) implies:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13419) op(e2, e0) = all_56_27
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13420) op(e2, all_56_27) = e2
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13276), (13419), (13420),
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #954.
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13421) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13421) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13422) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13422) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13423) op(e1, e0) = all_56_29
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13424) op(e1, all_56_29) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13425) (all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_9 & $i(all_56_9)) | (all_56_10 =
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, all_56_11) = e2)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13425) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13426) all_56_8 = e3 & op(e3, all_56_9) = e3 & op(e3, e2)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_9 & $i(all_56_9)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (10188), (12684), (13056), (13282),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13314), (13426), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #771.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13427) all_56_10 = e2 & op(e2, all_56_11) = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13427) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13428) op(e2, all_56_11) = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10186), (13428) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13429) op(e2, e3) = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13303), (13429),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #769.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13430) (all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)) | (all_56_14
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_15) = e0 & op(e0, e2) =
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_15 & $i(all_56_15))
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13430) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13431) all_56_12 = e1 & op(e1, all_56_13) = e1 & op(e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_13 & $i(all_56_13)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13431) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) op(e1, e2) = all_56_13
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13433) op(e1, all_56_13) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13112) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13434) ~ (all_36_0 = e3) & op(all_36_1, e1) = all_36_0 &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_36_1 & $i(all_36_0) &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13434) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13435) op(e1, e2) = all_36_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13436) op(all_36_1, e1) = all_36_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13056) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13335), (13423), (13424), (function-axioms)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #766.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13437) ~ (all_26_1 = e1) & op(e0, e3) = all_26_1 &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13437) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13438) ~ (all_26_1 = e1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13439) op(e0, e3) = all_26_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13191) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13440) ~ (all_40_0 = e0) & op(all_40_1, e1) = all_40_0 &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_40_1 & $i(all_40_0) &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13440) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) op(e1, e2) = all_40_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13442) op(all_40_1, e1) = all_40_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (13314), (13439) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13443) all_26_1 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e2, e1, simplifying with (13435),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13444) all_40_1 = all_36_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13326),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13445) all_56_13 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13432),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13441) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13446) all_56_13 = all_40_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13445), (13446) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13447) all_40_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13447) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13448) all_40_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13444), (13448) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13449) all_36_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13449) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13450) all_36_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13442), (13448) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13451) op(e1, e1) = all_40_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13436), (13450) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) op(e1, e1) = all_36_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13433), (13445) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13453) op(e1, e1) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_40_0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13120), (13451) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13454) all_40_0 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_0, e1, e1, simplifying with (13451),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13452) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13455) all_40_0 = all_36_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_40_0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13451), (13453) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13456) all_40_0 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13454), (13455) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13457) all_36_0 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13455), (13456) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13458) all_36_0 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13457), (13458) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13459) e2 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13459), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #773.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13460) ~ (all_40_1 = e3) & op(e1, e2) = all_40_1 &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_40_1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13460) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13461) ~ (all_40_1 = e3)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) op(e1, e2) = all_40_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_26_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (13314), (13439) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13463) all_26_1 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_36_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_40_1, e2, e1, simplifying with (13435),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13464) all_40_1 = all_36_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13326),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13432) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13465) all_56_13 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_40_1,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_13, e2, e1, simplifying with (13432),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13462) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13466) all_56_13 = all_40_1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13465), (13466) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13467) all_40_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13467) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13468) all_40_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13464), (13468) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13469) all_36_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13469) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13470) all_36_1 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13436), (13470) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13471) op(e1, e1) = all_36_0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13433), (13465) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13472) op(e1, e1) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_36_0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13120), (13471) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13473) all_36_0 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_36_0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (13471), (13472) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13474) all_36_0 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13473), (13474) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13475) e2 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13475), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #773.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476) ~ (all_36_1 = e0) & op(e1, e2) = all_36_1 &
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_36_1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (110), (157), (158),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (164), (165), (167), (168),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (210), (211), (213), (216), (217), (223),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (227), (228), (231), (235), (237),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (242), (243), (244), (10184), (10187),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10191), (10192), (10197), (10198),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12684), (12687), (12689), (12693), (12697),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12710), (12711), (13043), (13046), (13048),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13056), (13112), (13116), (13118),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13188), (13191), (13194), (13197),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13281), (13326), (13432), (13433),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13476), (function-axioms) are inconsistent by
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #767.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477) all_56_14 = e0 & op(e0, all_56_15) = e0 & op(e0,
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_56_15 & $i(all_56_15)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12684), (12711), (13056), (13314), (13319),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13477), (function-axioms) are inconsistent by
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1022.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13478) all_56_30 = e0 & op(e0, all_56_31) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13478) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13479) op(e0, all_56_31) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12687), (13479) imply:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13480) op(e0, e3) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (159), (165), (216), (227),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10191), (12693), (12710), (12711), (13120),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13261), (13294), (13480), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #812.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13481) all_58_13 = e1 & op(e0, e2) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13481) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13482) all_58_13 = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13483) op(e0, e2) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (218), (12710), (13293),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13294), (13298), (13482), (13483),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #765.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13484) all_58_14 = e0 & op(e0, e1) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13484) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13485) op(e0, e1) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13294), (13485), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2158.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13486) all_58_3 = e1 & op(e2, e2) = e1
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13486) are inconsistent by
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13487) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (227), (12693), (13188),
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13276), (13293), (13487), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #775.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13488) all_58_10 = e0 & op(e2, e0) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13488) implies:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13489) op(e2, e0) = e0
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13276), (13489), (function-axioms) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13490) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (12693), (13271), (13490) are
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1475.
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13491) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13491) gives:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13492) all_58_11 = e2 & op(e1, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13492) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13493) all_58_11 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (216), (223),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (10189), (12697), (12711),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13493), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #984.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13494) all_58_15 = e2 & op(e0, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13494) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13495) op(e0, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (13495), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | (13496) all_58_14 = e2 & op(e0, e1) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | ALPHA: (13496) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | (13497) all_58_14 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | (13498) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13498) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | (13499) all_58_4 = e0 & op(e3, e1) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12693), (13499) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1697.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | (13500) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13500) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | (13501) op(e2, e1) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | (13502) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13502) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13503) all_58_6 = e2 & op(e1, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12697), (13503) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2219.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13504) all_58_7 = e2 & op(e1, e2) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13504) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13505) all_58_7 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13506) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13506) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13507) all_58_6 = e0 & op(e1, e3) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12697), (13507) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2213.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13508) all_58_7 = e0 & op(e1, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13505), (13508) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | (13509) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13509) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13510) all_58_8 = e0 & op(e1, e1) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13510) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13511) op(e1, e1) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (228), (12693), (13497),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13501), (13511), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1026.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13512) all_58_11 = e0 & op(e1, e0) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13512) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (13513) all_58_11 = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13514) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (165), (12693), (13501), (13514),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2041.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13515) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13515) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13516) all_58_8 = e1 & op(e1, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13516) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517) all_58_8 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13518) op(e1, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13519) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13519) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13520) all_58_1 = e0 & op(e3, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13520) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13521) all_58_1 = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (12693),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13521), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #764.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13522) all_58_3 = e0 & op(e2, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10197), (12697),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13513), (13522), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #763.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13523) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13523) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13524) all_58_7 = e0 & op(e1, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13505), (13524) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2212.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13525) all_58_13 = e0 & op(e0, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13525) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13526) op(e0, e2) = e0
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13527) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13527) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13528) all_58_12 = e1 & op(e0, e3) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13528) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13529) all_58_12 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13530) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13530) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13531) all_58_0 = e2 & op(e3, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13531) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13532) op(e3, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (220),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (223), (225), (226), (232), (235), (236),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (239), (240), (241), (242), (244), (10189),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12693), (12697), (12710), (12711),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13501), (13505), (13513), (13516),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517), (13518), (13532), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #803.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13533) all_58_2 = e2 & op(e2, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13533) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13534) all_58_2 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13535) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13535) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13536) all_58_2 = e1 & op(e2, e3) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13536) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13537) all_58_2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13534), (13537) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13538) e2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13505), (13538) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13539) all_58_7 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (12697), (13513), (13517),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13539) are inconsistent by sub-proof #2215.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13540) all_58_3 = e1 & op(e2, e2) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13540) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13541) all_58_3 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13541) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1999.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13542) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13542) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13543) all_58_5 = e1 & op(e2, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13543) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13544) op(e2, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (13501), (13544), (function-axioms)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2165.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13545) all_58_10 = e1 & op(e2, e0) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13545) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13546) op(e2, e0) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13547) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13547) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (13120), (13518) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13548) e2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13505), (13548) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13549) all_58_7 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (12697), (13513), (13517),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13549) are inconsistent by sub-proof #2215.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13550) all_58_10 = e2 & op(e2, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13550) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13551) op(e2, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13546), (13551), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13552) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13552) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13553) all_58_11 = e2 & op(e1, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13553) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13554) all_58_11 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (162), (216), (223),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (10189), (12697), (12711), (13120),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13517), (13518), (13554), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #985.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13555) all_58_15 = e2 & op(e0, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13555) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13556) op(e0, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12711), (13556), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1388.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13557) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13557) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13558) all_58_6 = e2 & op(e1, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13558) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13559) all_58_6 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (13120), (13513),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13559), (function-axioms) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #967.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13560) all_58_12 = e2 & op(e0, e3) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13560) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13561) all_58_12 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13529), (13561) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13562) e2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13505), (13562) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13563) all_58_7 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (12697), (13513), (13517),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13563) are inconsistent by sub-proof #2215.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13564) all_58_13 = e1 & op(e0, e2) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13564) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13565) op(e0, e2) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13526), (13565), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1872.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13566) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13566) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13567) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13567) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13568) all_58_14 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13497), (13568) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13569) e2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (13569) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13570) e2 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13505), (13570) imply:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13571) all_58_7 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (12697), (13513), (13517),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13571) are inconsistent by sub-proof #2215.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13572) all_58_15 = e1 & op(e0, e0) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13572) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13573) all_58_15 = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12710), (13573) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2249.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13574) all_58_14 = e1 & op(e0, e1) = e1
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13497), (13574) are inconsistent by
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2040.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | (13575) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13575) gives:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13576) all_58_8 = e2 & op(e1, e1) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13576) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13577) all_58_8 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (228), (12693), (13497),
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13501), (13577), (function-axioms) are
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2039.
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13578) all_58_11 = e2 & op(e1, e0) = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13578) implies:
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | | (13579) all_58_11 = e2
% 236.09/44.35 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (216), (223),
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (10189), (12697), (12711),
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | | (13120), (13579), (function-axioms) are
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #984.
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | (13580) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13120), (13497), (13580), (function-axioms)
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2035.
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | End of split
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | Case 2:
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | (13581) all_18_2 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (339), (13581) imply:
% 236.09/44.36 | | | | | | | | | | | | | | | | (13582) all_6_2 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | SIMP: (13582) implies:
% 236.09/44.36 | | | | | | | | | | | | | | | | (13583) all_6_2 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (13583) imply:
% 236.09/44.36 | | | | | | | | | | | | | | | | (13584) all_56_21 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | REDUCE: (39), (13583) imply:
% 236.09/44.36 | | | | | | | | | | | | | | | | (13585) op(e1, e1) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.09/44.36 | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | (13586) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (241), (243),
% 236.09/44.36 | | | | | | | | | | | | | | | | | (10197), (12697), (13051), (13586),
% 236.09/44.36 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.09/44.36 | | | | | | | | | | | | | | | | | #789.
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | (13587) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.09/44.36 | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | BETA: splitting (13587) gives:
% 236.09/44.36 | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | (13588) all_58_5 = e0 & op(e2, e1) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | ALPHA: (13588) implies:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | (13589) op(e2, e1) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (165), (228), (229),
% 236.09/44.36 | | | | | | | | | | | | | | | | | | (12693), (13585), (13589), (function-axioms) are
% 236.09/44.36 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1025.
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | (13590) all_58_10 = e0 & op(e2, e0) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | ALPHA: (13590) implies:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | (13591) op(e2, e0) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.09/44.36 | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | (13592) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.09/44.36 | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (13592) gives:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | (13593) all_58_1 = e0 & op(e3, e2) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (13593) implies:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | (13594) all_58_1 = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (242), (244), (12693),
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | (13051), (13594), (function-axioms) are
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #764.
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | (13595) all_58_3 = e0 & op(e2, e2) = e0
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (10197), (13595) are inconsistent by
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 236.09/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | End of split
% 236.22/44.36 | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | Case 2:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | (13596) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | BETA: splitting (13596) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13597) all_58_7 = e0 & op(e1, e2) = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (13597) implies:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13598) all_58_7 = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13599) op(e1, e2) = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (162), (224), (225),
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (12697), (13585), (13598), (13599),
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | #1018.
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13600) all_58_13 = e0 & op(e0, e2) = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | ALPHA: (13600) implies:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13601) op(e0, e2) = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_7, e0,
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (158), (13601) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13602) all_52_7 = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | e0, e0, e2, simplifying with (164), (13591) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13603) all_52_13 = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (13602) imply:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13604) ~ (all_52_11 = e0)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | SIMP: (13604) implies:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13605) ~ (all_52_11 = e0)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (13603) imply:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13606) ~ (all_52_14 = e0)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | SIMP: (13606) implies:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | (13607) ~ (all_52_14 = e0)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | (13608) ~ (all_26_2 = e3)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | REDUCE: (12686), (13608) imply:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | (13609) $false
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | CLOSE: (13609) is inconsistent.
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | (13610) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | (13611) ~ (all_42_2 = e3)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10185), (13611) imply:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | (13612) $false
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13612) is inconsistent.
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | (13613) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | (13614) all_54_3 = e3
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (12689), (13614) are inconsistent by
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | (13615) ~ (all_54_3 = e3)
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | (13616) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | |
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.22/44.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | (13617) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13617) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13618) all_56_0 = e3 & op(e3, all_56_1) = e3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13618) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13619) op(e3, all_56_1) = e3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13046), (13619) imply:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13620) op(e3, e0) = e3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (12689), (13620), (function-axioms) are
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13621) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13621) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13622) op(e2, e3) = all_56_3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13623) op(e2, all_56_3) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (13622)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13624) all_56_3 = all_52_1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13623), (13624) imply:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | (13625) op(e2, all_52_1) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13626) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13626) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13627) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13627) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13628) op(e3, e0) = all_56_25
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13629) op(e3, all_56_25) = e3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (168), (13628)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13630) all_56_25 = all_52_12
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13629), (13630) imply:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13631) op(e3, all_52_12) = e3
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13632) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13632) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13633) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13633) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13634) all_58_2 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (164), (167),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (10197), (10198), (12688), (12693),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13585), (13591), (13625), (13633), (13634),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #761.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13635) all_58_3 = e2 & op(e2, e2) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13635) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13636) op(e2, e2) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13636), (function-axioms) are
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13637) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13637) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13638) all_58_5 = e2 & op(e2, e1) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13638) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13639) all_58_5 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640) op(e2, e1) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (158), (160),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (170), (211), (218), (219), (228), (232),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (10184), (10188), (10190), (10197),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (12693), (12694), (12710), (12711),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048), (13051), (13584), (13585), (13591),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13601), (13613), (13616), (13631), (13639),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13640), (function-axioms) are inconsistent by
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13641) all_58_10 = e2 & op(e2, e0) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13641) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13642) op(e2, e0) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13591), (13642), (function-axioms) are
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13643) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13591), (13643), (function-axioms)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #752.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | (13644) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13644) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13645) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13645) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13646) op(e1, e0) = all_56_29
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13647) op(e1, all_56_29) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (160), (13646)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13648) all_56_29 = all_52_14
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13647), (13648) imply:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13649) op(e1, all_52_14) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13650) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13650) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13651) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13651) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13652) all_58_2 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (164), (167),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (10197), (10198), (12688), (12693),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13585), (13591), (13625), (13651), (13652),
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #761.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13653) all_58_3 = e2 & op(e2, e2) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13653) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13654) op(e2, e2) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13654), (function-axioms) are
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13655) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13655) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13656) all_58_5 = e2 & op(e2, e1) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13656) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13657) all_58_5 = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13658) op(e2, e1) = e2
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13659) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13659) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13660) all_58_2 = e1 & op(e2, e3) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13660) implies:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13661) op(e2, e3) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13662) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13662) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13663) all_58_4 = e1 & op(e3, e1) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13663) are inconsistent by
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13664) all_58_5 = e1 & op(e2, e1) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13657), (13664) are inconsistent by
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13665) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13665) gives:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13666) all_58_8 = e1 & op(e1, e1) = e1
% 236.23/44.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13666) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13667) op(e1, e1) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13585), (13667), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13668) all_58_14 = e1 & op(e0, e1) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13668) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13669) all_58_14 = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13670) op(e0, e1) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13671) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13671) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13672) all_58_0 = e2 & op(e3, e3) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13672) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13673) op(e3, e3) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13051), (13673), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2188.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13674) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13674) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13675) all_58_2 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (157), (164), (167),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (232), (10197), (10198), (12688), (12693),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13585), (13591), (13625), (13674), (13675),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #761.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13676) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (160), (211),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (227), (10184), (10190), (10198),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693), (12694), (12697), (12710), (12711),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13584), (13601), (13607), (13610),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13613), (13649), (13658), (13661), (13669),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13670), (13676), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13677) all_58_3 = e1 & op(e2, e2) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13677) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13678) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (13591), (13657), (13678),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13679) all_58_10 = e2 & op(e2, e0) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13679) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13680) op(e2, e0) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13591), (13680), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13681) all_56_30 = e0 & op(e0, all_56_31) = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13681) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13682) op(e0, all_56_31) = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12687), (13682) imply:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13683) op(e0, e3) = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (13683) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13684) all_52_3 = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13047), (13684) imply:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13685) $false
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (13685) is inconsistent.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | (13686) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13686) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13687) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13687) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13688) op(e1, e3) = all_56_5
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13689) op(e1, all_56_5) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12698), (13688), (13689), (function-axioms)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2243.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13690) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13690) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13691) op(e0, e3) = all_56_7
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13692) op(e0, all_56_7) = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (13691)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13693) all_56_7 = all_52_3
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13692), (13693) imply:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | (13694) op(e0, all_52_3) = e0
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (13695) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13695) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13696) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13696) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13697) op(e3, e0) = all_56_25
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13698) op(e3, all_56_25) = e3
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (168), (13697)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13699) all_56_25 = all_52_12
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13698), (13699) imply:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13700) op(e3, all_52_12) = e3
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13701) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13701) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13702) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13702) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13703) all_58_2 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13704) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13704) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13705) all_58_2 = e1 & op(e2, e3) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13703), (13705) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #852.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13706) all_58_3 = e1 & op(e2, e2) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13706) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13707) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13707) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13708) all_58_5 = e1 & op(e2, e1) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13708) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13709) all_58_5 = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13710) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13710) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13711) all_58_4 = e2 & op(e3, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (12693), (13711) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1476.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13712) all_58_5 = e2 & op(e2, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13712) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13713) all_58_5 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13714) op(e2, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (158), (160),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (170), (211), (218), (219), (228), (232),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (10184), (10188), (10190), (10197),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (12693), (12694), (12710), (12711),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048), (13051), (13584), (13585), (13591),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13601), (13613), (13616), (13700), (13713),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13714), (function-axioms) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13715) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13715) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13716) all_58_8 = e2 & op(e1, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13716) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13717) op(e1, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13585), (13717), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2211.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13718) all_58_14 = e2 & op(e0, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (157), (159),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (217), (227), (229), (243), (12688),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693), (12697), (12710), (13051), (13601),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13605), (13610), (13694), (13702), (13708),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13709), (13718), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #748.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13719) all_58_10 = e1 & op(e2, e0) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13719) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13720) op(e2, e0) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (13591), (13720), (function-axioms)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1778.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13721) all_58_3 = e2 & op(e2, e2) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13721) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13722) op(e2, e2) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13722), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13723) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13723) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13724) all_58_5 = e2 & op(e2, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13724) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13725) all_58_5 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13726) op(e2, e1) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (112), (158), (160),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (170), (211), (218), (219), (228), (232),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (280), (10184), (10188), (10190), (10197),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10198), (12693), (12694), (12710), (12711),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13048), (13051), (13584), (13585), (13591),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13601), (13613), (13616), (13700), (13725),
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13726), (function-axioms) are inconsistent by
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #753.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13727) all_58_10 = e2 & op(e2, e0) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13727) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13728) op(e2, e0) = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13591), (13728), (function-axioms) are
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13729) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13591), (13729), (function-axioms)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #752.
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | (13730) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13730) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13731) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13731) implies:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13732) op(e1, e0) = all_56_29
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13733) op(e1, all_56_29) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (160), (13732)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13734) all_56_29 = all_52_14
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13733), (13734) imply:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13735) op(e1, all_52_14) = e1
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13736) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13736) gives:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13737) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13737) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13738) all_58_2 = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (157), (159),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (217), (227), (229), (232), (243),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12688), (12693), (12697), (12710),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13585), (13591), (13601), (13605),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13610), (13694), (13737), (13738),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #747.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13739) all_58_3 = e2 & op(e2, e2) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13739) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13740) op(e2, e2) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10198), (13740), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13741) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13741) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13742) all_58_5 = e2 & op(e2, e1) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13742) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13743) all_58_5 = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13744) op(e2, e1) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13745) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13745) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13746) all_58_2 = e1 & op(e2, e3) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13746) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13747) all_58_2 = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13748) op(e2, e3) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13749) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13749) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13750) all_58_4 = e1 & op(e3, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (12693), (13750) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2042.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13751) all_58_5 = e1 & op(e2, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13743), (13751) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13752) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13752) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13753) all_58_8 = e1 & op(e1, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13753) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13754) op(e1, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13585), (13754), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13755) all_58_14 = e1 & op(e0, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13755) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13756) all_58_14 = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13757) op(e0, e1) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13758) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13758) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13759) all_58_0 = e2 & op(e3, e3) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13759) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13760) op(e3, e3) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13761) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (13747), (13760), (13761),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #806.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13762) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13762) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13763) all_58_6 = e0 & op(e1, e3) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13763) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13764) all_58_6 = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12697), (13764) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2222.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13765) all_58_12 = e0 & op(e0, e3) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13765) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13766) op(e0, e3) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e0,
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (159), (13766) gives:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13767) all_52_3 = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13694), (13767) imply:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13768) op(e0, e0) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (12711), (13768), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13769) all_58_2 = e2 & op(e2, e3) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13769) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13770) all_58_2 = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (118), (157), (159),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (217), (227), (229), (232), (243),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (12688), (12693), (12697), (12710),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13585), (13591), (13601), (13605),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13610), (13694), (13769), (13770),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #747.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13771) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (158), (160), (211),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (227), (10184), (10190), (10198),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (12693), (12694), (12697), (12710), (12711),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13051), (13584), (13601), (13607), (13610),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13613), (13735), (13744), (13748), (13756),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13757), (13771), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #749.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13772) all_58_3 = e1 & op(e2, e2) = e1
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (10197), (13772) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2197.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13773) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (164), (13591), (13743), (13773),
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #754.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13774) all_58_10 = e2 & op(e2, e0) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13774) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13775) op(e2, e0) = e2
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (13591), (13775), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13776) all_56_30 = e0 & op(e0, all_56_31) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13776) implies:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13777) op(e0, all_56_31) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12687), (13777) imply:
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13778) op(e0, e3) = e0
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (13047), (13778), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | (13779) all_58_7 = e3 & op(e1, e2) = e3
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | ALPHA: (13779) implies:
% 236.23/44.38 | | | | | | | | | | | | (13780) op(e1, e2) = e3
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | REF_CLOSE: (162), (10189), (13780), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | (13781) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 236.23/44.38 | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | REF_CLOSE: (39), (160), (391), (12690), (13781),
% 236.23/44.38 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | #1529.
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | (13782) all_58_5 = e3 & op(e2, e1) = e3
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REF_CLOSE: (165), (10191), (13782), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | inconsistent by sub-proof #1822.
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | (13783) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3
% 236.23/44.38 | | | | | | | | | & op(e0, e1) = e3)
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | BETA: splitting (13783) gives:
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | (13784) all_58_8 = e3 & op(e1, e1) = e3
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REF_CLOSE: (39), (391), (13784), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | inconsistent by sub-proof #2092.
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | (13785) all_58_14 = e3 & op(e0, e1) = e3
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REF_CLOSE: (157), (12688), (13785), (function-axioms) are
% 236.23/44.38 | | | | | | | | | | inconsistent by sub-proof #1647.
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | End of split
% 236.23/44.38 | | | | | | | |
% 236.23/44.38 | | | | | | | End of split
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | Case 2:
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | (13786) all_10_2 = e1
% 236.23/44.38 | | | | | | | (13787) ( ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 236.23/44.38 | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 236.23/44.38 | | | | | | | | ( ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 236.23/44.38 | | | | | | | $i(all_10_1))
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | COMBINE_EQS: (349), (13786) imply:
% 236.23/44.38 | | | | | | | (13788) all_38_2 = e1
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | COMBINE_EQS: (290), (13786) imply:
% 236.23/44.38 | | | | | | | (13789) all_56_1 = e1
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | REDUCE: (355), (13786) imply:
% 236.23/44.38 | | | | | | | (13790) ~ (all_52_1 = e1)
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | REDUCE: (361), (13786) imply:
% 236.23/44.38 | | | | | | | (13791) ~ (all_52_4 = e1)
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | REDUCE: (363), (13786) imply:
% 236.23/44.38 | | | | | | | (13792) ~ (all_52_8 = e1)
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | REDUCE: (365), (13786) imply:
% 236.23/44.38 | | | | | | | (13793) ~ (all_52_12 = e1)
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | REDUCE: (45), (13786) imply:
% 236.23/44.38 | | | | | | | (13794) op(e3, e3) = e1
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | BETA: splitting (49) gives:
% 236.23/44.38 | | | | | | |
% 236.23/44.38 | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | |
% 236.23/44.38 | | | | | | | | (13795) ~ (all_12_2 = e3)
% 236.23/44.38 | | | | | | | |
% 236.23/44.38 | | | | | | | | REDUCE: (346), (13795) imply:
% 236.23/44.38 | | | | | | | | (13796) ~ (all_4_2 = e3)
% 236.23/44.38 | | | | | | | |
% 236.23/44.38 | | | | | | | | BETA: splitting (58) gives:
% 236.23/44.38 | | | | | | | |
% 236.23/44.38 | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | (13797) ~ (all_18_2 = e0)
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | REDUCE: (339), (13797) imply:
% 236.23/44.38 | | | | | | | | | (13798) ~ (all_6_2 = e0)
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | BETA: splitting (61) gives:
% 236.23/44.38 | | | | | | | | |
% 236.23/44.38 | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | (13799) ~ (all_20_2 = e1)
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REDUCE: (341), (13799) imply:
% 236.23/44.38 | | | | | | | | | | (13800) ~ (all_4_2 = e1)
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | BETA: splitting (189) gives:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | (13801) all_54_15 = e3
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | REF_CLOSE: (299), (13796), (13801) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | sub-proof #2340.
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | (13802) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | BETA: splitting (13802) gives:
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | (13803) all_54_15 = e2
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | REF_CLOSE: (299), (390), (13803) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | sub-proof #2339.
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | (13804) all_54_15 = e1 | all_54_15 = e0
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | BETA: splitting (13804) gives:
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | Case 1:
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | (13805) all_54_15 = e1
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | REF_CLOSE: (299), (13800), (13805) are inconsistent by
% 236.23/44.38 | | | | | | | | | | | | | sub-proof #2338.
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | (13806) all_54_15 = e0
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | COMBINE_EQS: (299), (13806) imply:
% 236.23/44.38 | | | | | | | | | | | | | (13807) all_4_2 = e0
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | SIMP: (13807) implies:
% 236.23/44.38 | | | | | | | | | | | | | (13808) all_4_2 = e0
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | COMBINE_EQS: (254), (13808) imply:
% 236.23/44.38 | | | | | | | | | | | | | (13809) all_56_31 = e0
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | | REF_CLOSE: (164), (165), (167), (194), (213), (232), (266),
% 236.23/44.38 | | | | | | | | | | | | | (297), (381), (391), (10186), (10187), (10197),
% 236.23/44.38 | | | | | | | | | | | | | (13789), (13790), (13798), (13809),
% 236.23/44.38 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.38 | | | | | | | | | | | | | #742.
% 236.23/44.38 | | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | End of split
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | Case 2:
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | (13810) all_20_2 = e1
% 236.23/44.38 | | | | | | | | | | (13811) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 236.23/44.38 | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 236.23/44.38 | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 236.23/44.38 | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | COMBINE_EQS: (341), (13810) imply:
% 236.23/44.38 | | | | | | | | | | (13812) all_4_2 = e1
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | SIMP: (13812) implies:
% 236.23/44.38 | | | | | | | | | | (13813) all_4_2 = e1
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | COMBINE_EQS: (324), (13813) imply:
% 236.23/44.38 | | | | | | | | | | (13814) all_34_2 = e1
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | COMBINE_EQS: (254), (13813) imply:
% 236.23/44.38 | | | | | | | | | | (13815) all_56_31 = e1
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REDUCE: (368), (13813) imply:
% 236.23/44.38 | | | | | | | | | | (13816) ~ (all_52_3 = e1)
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REDUCE: (379), (13813) imply:
% 236.23/44.38 | | | | | | | | | | (13817) ~ (all_52_7 = e1)
% 236.23/44.38 | | | | | | | | | |
% 236.23/44.38 | | | | | | | | | | REDUCE: (388), (13813) imply:
% 236.23/44.39 | | | | | | | | | | (13818) ~ (all_52_13 = e1)
% 236.23/44.39 | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | REDUCE: (13796), (13813) imply:
% 236.23/44.39 | | | | | | | | | | (13819) ~ (e3 = e1)
% 236.23/44.39 | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | REDUCE: (390), (13813) imply:
% 236.23/44.39 | | | | | | | | | | (13820) ~ (e2 = e1)
% 236.23/44.39 | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | BETA: splitting (236) gives:
% 236.23/44.39 | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | (13821) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.23/44.39 | | | | | | | | | | | & op(e2, e2) = e1)
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | REF_CLOSE: (8), (170), (10197), (13791), (13821),
% 236.23/44.39 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | #741.
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | (13822) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.23/44.39 | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | BETA: splitting (13822) gives:
% 236.23/44.39 | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | (13823) all_58_7 = e1 & op(e1, e2) = e1
% 236.23/44.39 | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | ALPHA: (13823) implies:
% 236.23/44.39 | | | | | | | | | | | | (13824) all_58_7 = e1
% 236.23/44.39 | | | | | | | | | | | | (13825) op(e1, e2) = e1
% 236.23/44.39 | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | BETA: splitting (217) gives:
% 236.23/44.39 | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | (13826) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 236.23/44.39 | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (235), (237),
% 236.23/44.39 | | | | | | | | | | | | | (239), (243), (245), (10187), (10197), (13794),
% 236.23/44.39 | | | | | | | | | | | | | (13824), (13826), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | inconsistent by sub-proof #740.
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | (13827) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 236.23/44.39 | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | BETA: splitting (13827) gives:
% 236.23/44.39 | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | (13828) all_58_14 = e1 & op(e0, e1) = e1
% 236.23/44.39 | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | ALPHA: (13828) implies:
% 236.23/44.39 | | | | | | | | | | | | | | (13829) all_58_14 = e1
% 236.23/44.39 | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 236.23/44.39 | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | (13830) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (165), (167),
% 236.23/44.39 | | | | | | | | | | | | | | | (170), (227), (229), (232), (240), (244), (246),
% 236.23/44.39 | | | | | | | | | | | | | | | (10188), (10191), (10197), (13790), (13794),
% 236.23/44.39 | | | | | | | | | | | | | | | (13818), (13829), (13830), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | inconsistent by sub-proof #739.
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | (13831) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 236.23/44.39 | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | BETA: splitting (13831) gives:
% 236.23/44.39 | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | (13832) all_58_8 = e3 & op(e1, e1) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | ALPHA: (13832) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | (13833) all_58_8 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | (13834) op(e1, e1) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | (13835) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | BETA: splitting (13835) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13836) all_58_12 = e3 & op(e0, e3) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | ALPHA: (13836) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13837) all_58_12 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | (13838) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (13838) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13839) all_58_2 = e1 & op(e2, e3) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (13790), (13839), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13840) all_58_3 = e1 & op(e2, e2) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (245), (10187), (10197), (13794), (13837),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13840), (function-axioms) are inconsistent by
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | sub-proof #738.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | (13841) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (13841) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13842) all_58_5 = e1 & op(e2, e1) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (13842) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13843) all_58_5 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13844) op(e2, e1) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (13845) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (13845),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | #1401.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (13846) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13846) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13847) all_58_4 = e3 & op(e3, e1) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13847) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13848) all_58_4 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (227), (229), (13829),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13843), (13848) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | #1481.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13849) all_58_9 = e3 & op(e3, e0) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13849) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13850) all_58_9 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | (13851) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13851) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13852) all_58_9 = e1 & op(e3, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (245), (10187), (13794), (13837), (13850),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13852), (function-axioms) are inconsistent by
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #737.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13853) all_58_10 = e1 & op(e2, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13818), (13853), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | (13854) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13854) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13855) all_58_11 = e1 & op(e1, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13855) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13856) all_58_11 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13857) op(e1, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (13824),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13833), (13834), (13856), (13857),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | #1419.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13858) all_58_15 = e1 & op(e0, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13858) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13859) all_58_15 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (39), (82), (85), (91), (94), (118),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (121), (123), (125), (128), (134), (135), (136),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (143), (144), (146), (148), (149),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (162), (165), (167), (170),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (192), (194), (196), (200), (202),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (203), (213), (216), (218), (219), (221), (222),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (226), (227), (229), (230), (231),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (237), (239), (240), (243), (244),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (255), (256), (257), (266), (268),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (279), (281), (282), (297), (322), (328), (367),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (380), (381), (383), (391), (10184), (10185),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (10186), (10187), (10188), (10189), (10190),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (10191), (10197), (13794), (13798), (13811),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13814), (13815), (13816), (13824), (13825),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | (13843), (13844), (13859), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #680.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13860) all_58_10 = e1 & op(e2, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13818), (13860), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13861) all_58_13 = e3 & op(e0, e2) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (10190), (13861), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | (13862) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | BETA: splitting (13862) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13863) all_58_14 = e3 & op(e0, e1) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | ALPHA: (13863) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13864) all_58_14 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13829), (13864) are inconsistent by
% 236.23/44.39 | | | | | | | | | | | | | | | | | | sub-proof #1844.
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13865) all_58_15 = e3 & op(e0, e0) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | ALPHA: (13865) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | (13866) all_58_15 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | (13867) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (13867) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13868) all_58_9 = e1 & op(e3, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (13868) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13869) all_58_9 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (13870) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (13870),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | #1401.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | (13871) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13871) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13872) all_58_4 = e3 & op(e3, e1) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13872) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13873) all_58_4 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (167), (170),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (227), (229), (232), (240), (244), (246), (10188),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (10197), (13790), (13794), (13818), (13829),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13873), (function-axioms) are inconsistent by
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1029.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13874) all_58_9 = e3 & op(e3, e0) = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13874) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13875) all_58_9 = e3
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13869), (13875) imply:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13876) e3 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13866), (13876) imply:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13877) all_58_15 = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (82), (85), (91), (94),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (118), (121), (123), (125), (128), (134), (135),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (143), (144), (146), (148),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (164), (165),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (167), (170), (190), (191), (192), (194), (196),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (213), (216), (218), (219),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (225), (226), (227), (229),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (237), (239),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (255), (256),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (257), (266), (268), (279), (281), (282), (297),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (322), (328), (367), (380), (381), (383), (391),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (10184), (10185), (10186), (10187), (10188),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10191), (10197), (13790),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13794), (13798), (13811), (13814), (13815),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (13816), (13818), (13824), (13825), (13877),
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | | #679.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13878) all_58_10 = e1 & op(e2, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (13818), (13878), (function-axioms) are
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | (13879) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | BETA: splitting (13879) gives:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13880) all_58_11 = e1 & op(e1, e0) = e1
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | ALPHA: (13880) implies:
% 236.23/44.39 | | | | | | | | | | | | | | | | | | | | (13881) all_58_11 = e1
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13882) op(e1, e0) = e1
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (13824),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13833), (13834), (13881), (13882),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | #1419.
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13883) all_58_15 = e1 & op(e0, e0) = e1
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | ALPHA: (13883) implies:
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13884) all_58_15 = e1
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (82), (85), (91), (94),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (118), (121), (123), (125), (128), (134), (135),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (136), (139), (140), (143), (144), (146), (148),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (164), (165),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (167), (170), (190), (191), (192), (194), (196),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (200), (202), (203), (213), (216), (218), (219),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (225), (226), (227), (229),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (237), (239),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (255), (256),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (257), (266), (268), (279), (281), (282), (297),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (322), (328), (367), (380), (381), (383), (391),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (10184), (10185), (10186), (10187), (10188),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (10189), (10190), (10191), (10197), (13790),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13794), (13798), (13811), (13814), (13815),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (13816), (13818), (13824), (13825), (13884),
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | | #679.
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | Case 2:
% 236.23/44.40 | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | (13885) all_58_14 = e3 & op(e0, e1) = e3
% 236.23/44.40 | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | ALPHA: (13885) implies:
% 236.23/44.40 | | | | | | | | | | | | | | | | (13886) all_58_14 = e3
% 236.23/44.40 | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13829), (13886) are inconsistent by
% 236.23/44.40 | | | | | | | | | | | | | | | | sub-proof #1844.
% 236.23/44.40 | | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | Case 2:
% 236.23/44.40 | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | (13887) all_58_15 = e1 & op(e0, e0) = e1
% 236.23/44.40 | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | ALPHA: (13887) implies:
% 236.23/44.40 | | | | | | | | | | | | | | (13888) all_58_15 = e1
% 236.23/44.40 | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (39), (82), (85), (91), (94),
% 236.23/44.40 | | | | | | | | | | | | | | (118), (121), (123), (125), (128), (134), (135),
% 236.23/44.40 | | | | | | | | | | | | | | (136), (139), (140), (143), (144), (146), (148),
% 236.23/44.40 | | | | | | | | | | | | | | (149), (157), (158), (159), (162), (164), (165),
% 236.23/44.40 | | | | | | | | | | | | | | (167), (170), (190), (191), (192), (194), (196),
% 236.23/44.40 | | | | | | | | | | | | | | (200), (202), (203), (213), (216), (218), (219),
% 236.23/44.40 | | | | | | | | | | | | | | (221), (222), (223), (225), (226), (227), (229),
% 236.23/44.40 | | | | | | | | | | | | | | (230), (231), (232), (233), (235), (237), (239),
% 236.23/44.40 | | | | | | | | | | | | | | (240), (243), (244), (245), (246), (255), (256),
% 236.23/44.40 | | | | | | | | | | | | | | (257), (266), (268), (279), (281), (282), (297),
% 236.23/44.40 | | | | | | | | | | | | | | (322), (328), (367), (380), (381), (383), (391),
% 236.23/44.40 | | | | | | | | | | | | | | (10184), (10185), (10186), (10187), (10188),
% 236.23/44.40 | | | | | | | | | | | | | | (10189), (10190), (10191), (10197), (13790),
% 236.23/44.40 | | | | | | | | | | | | | | (13794), (13798), (13811), (13814), (13815),
% 236.23/44.40 | | | | | | | | | | | | | | (13816), (13818), (13824), (13825), (13888),
% 236.23/44.40 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.23/44.40 | | | | | | | | | | | | | | #679.
% 236.23/44.40 | | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | Case 2:
% 236.23/44.40 | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | (13889) all_58_13 = e1 & op(e0, e2) = e1
% 236.23/44.40 | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | | REF_CLOSE: (158), (13817), (13889), (function-axioms) are
% 236.23/44.40 | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.23/44.40 | | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | | |
% 236.23/44.40 | | | | | | | | | | End of split
% 236.23/44.40 | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | End of split
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | (13890) all_18_2 = e0
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | COMBINE_EQS: (339), (13890) imply:
% 236.29/44.40 | | | | | | | | | (13891) all_6_2 = e0
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | SIMP: (13891) implies:
% 236.29/44.40 | | | | | | | | | (13892) all_6_2 = e0
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | COMBINE_EQS: (266), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13893) all_56_21 = e0
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (380), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13894) ~ (all_52_8 = e0)
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (381), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13895) ~ (all_52_9 = e0)
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (383), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13896) ~ (all_52_11 = e0)
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (385), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13897) ~ (all_52_14 = e0)
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (391), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13898) ~ (e3 = e0)
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | REDUCE: (39), (13892) imply:
% 236.29/44.40 | | | | | | | | | (13899) op(e1, e1) = e0
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | BETA: splitting (223) gives:
% 236.29/44.40 | | | | | | | | |
% 236.29/44.40 | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | (13900) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.29/44.40 | | | | | | | | | | & op(e1, e2) = e0)
% 236.29/44.40 | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | BETA: splitting (13900) gives:
% 236.29/44.40 | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | (13901) all_58_6 = e0 & op(e1, e3) = e0
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | ALPHA: (13901) implies:
% 236.29/44.40 | | | | | | | | | | | (13902) all_58_6 = e0
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.40 | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.40 | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.40 | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.40 | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.40 | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.40 | | | | | | | | | | | (13794), (13899), (13902), (function-axioms) are
% 236.29/44.40 | | | | | | | | | | | inconsistent by sub-proof #664.
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | (13903) all_58_7 = e0 & op(e1, e2) = e0
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | ALPHA: (13903) implies:
% 236.29/44.40 | | | | | | | | | | | (13904) all_58_7 = e0
% 236.29/44.40 | | | | | | | | | | | (13905) op(e1, e2) = e0
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | BETA: splitting (224) gives:
% 236.29/44.40 | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | (13906) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.29/44.40 | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | BETA: splitting (13906) gives:
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | (13907) all_58_6 = e1 & op(e1, e3) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | ALPHA: (13907) implies:
% 236.29/44.40 | | | | | | | | | | | | | (13908) all_58_6 = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.29/44.40 | | | | | | | | | | | | | (245), (10187), (13794), (13908),
% 236.29/44.40 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.40 | | | | | | | | | | | | | #1161.
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | (13909) all_58_7 = e1 & op(e1, e2) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | ALPHA: (13909) implies:
% 236.29/44.40 | | | | | | | | | | | | | (13910) op(e1, e2) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | REF_CLOSE: (4), (162), (13905), (13910), (function-axioms)
% 236.29/44.40 | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | End of split
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | (13911) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.29/44.40 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | BETA: splitting (13911) gives:
% 236.29/44.40 | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | (13912) all_58_8 = e1 & op(e1, e1) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | ALPHA: (13912) implies:
% 236.29/44.40 | | | | | | | | | | | | | (13913) op(e1, e1) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | REF_CLOSE: (4), (13899), (13913), (function-axioms) are
% 236.29/44.40 | | | | | | | | | | | | | inconsistent by sub-proof #2220.
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | (13914) all_58_11 = e1 & op(e1, e0) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | ALPHA: (13914) implies:
% 236.29/44.40 | | | | | | | | | | | | | (13915) all_58_11 = e1
% 236.29/44.40 | | | | | | | | | | | | | (13916) op(e1, e0) = e1
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.29/44.40 | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | (13917) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.29/44.40 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | BETA: splitting (13917) gives:
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | (13918) all_58_6 = e2 & op(e1, e3) = e2
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | ALPHA: (13918) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | (13919) all_58_6 = e2
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (167), (226),
% 236.29/44.40 | | | | | | | | | | | | | | | (239), (243), (245), (10187), (10189), (13794),
% 236.29/44.40 | | | | | | | | | | | | | | | (13899), (13915), (13919), (function-axioms) are
% 236.29/44.40 | | | | | | | | | | | | | | | inconsistent by sub-proof #661.
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | (13920) all_58_7 = e2 & op(e1, e2) = e2
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | REF_CLOSE: (5), (13904), (13920) are inconsistent by
% 236.29/44.40 | | | | | | | | | | | | | | | sub-proof #1326.
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | End of split
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | (13921) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.29/44.40 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | BETA: splitting (13921) gives:
% 236.29/44.40 | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | (13922) all_58_8 = e2 & op(e1, e1) = e2
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | ALPHA: (13922) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | (13923) all_58_8 = e2
% 236.29/44.40 | | | | | | | | | | | | | | | (13924) op(e1, e1) = e2
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 236.29/44.40 | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | (13925) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 236.29/44.40 | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 236.29/44.40 | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | BETA: splitting (13925) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | (13926) all_58_6 = e3 & op(e1, e3) = e3
% 236.29/44.40 | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | ALPHA: (13926) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | | | (13927) all_58_6 = e3
% 236.29/44.40 | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | (13928) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.29/44.40 | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (170), (239),
% 236.29/44.40 | | | | | | | | | | | | | | | | | | (243), (245), (10187), (10197), (13791), (13794),
% 236.29/44.40 | | | | | | | | | | | | | | | | | | (13927), (13928), (function-axioms) are
% 236.29/44.40 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #659.
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | (13929) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.29/44.40 | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | BETA: splitting (13929) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | (13930) all_58_7 = e1 & op(e1, e2) = e1
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | ALPHA: (13930) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | (13931) all_58_7 = e1
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (13916), (13923), (13927),
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | (13931), (function-axioms) are inconsistent by
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | sub-proof #1555.
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | (13932) all_58_13 = e1 & op(e0, e2) = e1
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | ALPHA: (13932) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | (13933) all_58_13 = e1
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | (13934) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13934) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | (13935) all_58_9 = e3 & op(e3, e0) = e3
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13935) implies:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | (13936) all_58_9 = e3
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | | (13937) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 236.29/44.40 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (13937),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | #557.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13938) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13938) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13939) all_58_4 = e0 & op(e3, e1) = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13939) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13940) all_58_4 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | (13941) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13941) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13942) all_58_1 = e2 & op(e3, e2) = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13942) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13943) all_58_1 = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13944) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13944) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13945) all_58_4 = e1 & op(e3, e1) = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13945) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13946) all_58_4 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (240), (13794), (13936), (13943),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13946), (function-axioms) are inconsistent by
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1472.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (13899), (13924) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13947) e2 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13943), (13947) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13948) all_58_1 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (13948),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #558.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | (13949) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13949) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13950) all_58_8 = e1 & op(e1, e1) = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13950) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13951) all_58_8 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (13904), (13915), (13927),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13951) are inconsistent by sub-proof #988.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13952) all_58_14 = e1 & op(e0, e1) = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13952) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13953) all_58_14 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13927), (13940), (13953),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13954) all_58_3 = e2 & op(e2, e2) = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (167), (226),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (243), (245), (10187), (10189), (10197),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13915), (13927), (13954),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | #556.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | (13955) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13955) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13956) all_58_7 = e2 & op(e1, e2) = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13923), (13956), (function-axioms) are
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #560.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13957) all_58_13 = e2 & op(e0, e2) = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (13904), (13915), (13923),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | (13927), (13933), (13957) are inconsistent by
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #555.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13958) all_58_9 = e0 & op(e3, e0) = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13958) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13959) all_58_9 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13936), (13959) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13960) e3 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13927), (13960),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | #642.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13961) all_58_10 = e3 & op(e2, e0) = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13961) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13962) all_58_10 = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (231), (232),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (233), (10197), (13790), (13962),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | #1099.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | (13963) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | BETA: splitting (13963) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13964) all_58_11 = e3 & op(e1, e0) = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13964) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13965) all_58_11 = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13915), (13965) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13966) e3 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13927), (13966) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13967) all_58_6 = e1
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (245), (10187), (13794), (13967),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | #1161.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13968) all_58_15 = e3 & op(e0, e0) = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | ALPHA: (13968) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | (13969) all_58_15 = e3
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13970) all_58_15 = e0 & op(e0, e0) = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13970) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13971) all_58_15 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13969), (13971) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13972) e3 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13927), (13972) imply:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13973) all_58_6 = e0
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13973), (function-axioms) are
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #664.
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13974) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13974) implies:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13975) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | (13976) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | (13977) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13977) gives:
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.41 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | (13978) all_58_1 = e2 & op(e3, e2) = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13978) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | (13979) all_58_1 = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13980) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (13980),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | #557.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | (13981) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13981) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13982) all_58_4 = e0 & op(e3, e1) = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13982) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13983) all_58_4 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13984) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13927), (13983), (13984),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | #621.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13985) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13985) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13986) all_58_8 = e3 & op(e1, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13986) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13987) op(e1, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13924), (13987), (function-axioms) are
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13988) all_58_14 = e3 & op(e0, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13988) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13989) all_58_14 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (13969),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13975), (13979), (13989), (function-axioms) are
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13990) all_58_9 = e0 & op(e3, e0) = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13990) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | (13991) all_58_9 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13975) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13992) all_58_12 = e0 & op(e0, e3) = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13992) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (13993) all_58_12 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13994) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (13994),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13995) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13995) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13996) all_58_4 = e3 & op(e3, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13996) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13997) all_58_4 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (221), (231),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (243), (244), (10197), (13790), (13794),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13927), (13969), (13979), (13991),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13993), (13997), (function-axioms) are
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #614.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13998) all_58_9 = e3 & op(e3, e0) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (13998) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13999) all_58_9 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13991), (13999) imply:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14000) e3 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13927), (14000),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #642.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14001) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14001) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14002) all_58_13 = e0 & op(e0, e2) = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13933), (14002) are inconsistent by
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #609.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14003) all_58_14 = e0 & op(e0, e1) = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14003) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14004) all_58_14 = e0
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14005) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14005) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14006) all_58_4 = e1 & op(e3, e1) = e1
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14006) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14007) all_58_4 = e1
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (10188), (13794), (14007),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1468.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14008) all_58_5 = e1 & op(e2, e1) = e1
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14008) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14009) all_58_5 = e1
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14010) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14010) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14011) all_58_12 = e2 & op(e0, e3) = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14011) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14012) all_58_12 = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14013) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14013) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14014) all_58_4 = e3 & op(e3, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14014) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14015) all_58_4 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (167), (221),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (231), (239), (243), (244), (245),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10187), (10189), (10197), (13794), (13899),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13904), (13915), (13923), (13924), (13927),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13969), (13979), (13991), (14009), (14015),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #553.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14016) all_58_5 = e3 & op(e2, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (14016), (function-axioms) are
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14017) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14017) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14018) all_58_8 = e3 & op(e1, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14018) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14019) op(e1, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14020) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (14020),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1401.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14021) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14021) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14022) all_58_4 = e3 & op(e3, e1) = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14022) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14023) all_58_4 = e3
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14024) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14024) gives:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14025) all_58_9 = e2 & op(e3, e0) = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14025) implies:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14026) all_58_9 = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (13794), (13979), (13991),
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14023), (14026), (function-axioms) are
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1065.
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14027) all_58_10 = e2 & op(e2, e0) = e2
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14027) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14028) all_58_10 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14029) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (13794), (13904), (13927),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13979), (13991), (14023), (14029),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #552.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (13921) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13924), (14019), (function-axioms) are
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14030) all_58_11 = e2 & op(e1, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14030) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14031) all_58_11 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13915), (14031) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14032) e2 = e1
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14028), (14032) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14033) all_58_10 = e1
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (221), (239), (243),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13915), (13927), (13969), (13991),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14012), (14033), (function-axioms) are
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #550.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14034) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (239), (243), (13794),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13927), (13969), (14012), (14034),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #551.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14035) all_58_9 = e3 & op(e3, e0) = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14035) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14036) all_58_9 = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14037) op(e3, e0) = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14038) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14038) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14039) all_58_9 = e2 & op(e3, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14039) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14040) op(e3, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14037), (14040), (function-axioms) are
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14041) all_58_10 = e2 & op(e2, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14041) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14042) op(e2, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (13916), (13976), (14036), (14042),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2101.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14043) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (239), (243), (13794),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13927), (13969), (14012), (14043),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #551.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14044) all_58_14 = e3 & op(e0, e1) = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14044) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14045) all_58_14 = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (13969),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13975), (13979), (14045), (function-axioms) are
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #554.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14046) all_58_13 = e2 & op(e0, e2) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (13904), (13915), (13923),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927), (13933), (14046) are inconsistent by
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #555.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14047) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14047) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14048) all_58_14 = e2 & op(e0, e1) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14048) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14049) all_58_14 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14004), (14049) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14050) e2 = e0
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13979), (14050) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14051) all_58_1 = e0
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13904),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13915), (13923), (13927), (13933), (14051),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #558.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14052) all_58_15 = e2 & op(e0, e0) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14052) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14053) all_58_15 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13969), (14053) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14054) e3 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (167), (226),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (239), (243), (245), (10187), (10189), (13794),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13899), (13915), (13927), (14054),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #561.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14055) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (9), (225), (13904), (13915),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13927), (14004), (14055) are inconsistent by
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #549.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14056) all_58_3 = e2 & op(e2, e2) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (167), (226),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (239), (243), (245), (10187), (10189), (10197),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (13915), (13927), (14056),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | #556.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | (14057) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14057) gives:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14058) all_58_7 = e2 & op(e1, e2) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14058) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14059) all_58_7 = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13904), (14059) imply:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14060) e2 = e0
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (13923),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14060), (function-axioms) are inconsistent by
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #562.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (14061) all_58_13 = e2 & op(e0, e2) = e2
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (13904), (13915), (13923),
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | (13927), (13933), (14061) are inconsistent by
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #559.
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | (14062) all_58_7 = e3 & op(e1, e2) = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | ALPHA: (14062) implies:
% 236.29/44.43 | | | | | | | | | | | | | | | | | (14063) op(e1, e2) = e3
% 236.29/44.43 | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (14063), (function-axioms) are
% 236.29/44.43 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 236.29/44.43 | | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | | End of split
% 236.29/44.43 | | | | | | | | | | | | | | | |
% 236.29/44.43 | | | | | | | | | | | | | | | Case 2:
% 236.29/44.43 | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | (14064) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 236.29/44.44 | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 236.29/44.44 | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | BETA: splitting (14064) gives:
% 236.29/44.44 | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | Case 1:
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | | (14065) all_58_8 = e3 & op(e1, e1) = e3
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | | ALPHA: (14065) implies:
% 236.29/44.44 | | | | | | | | | | | | | | | | | (14066) op(e1, e1) = e3
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13924), (14066), (function-axioms) are
% 236.29/44.44 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | Case 2:
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | | (14067) all_58_11 = e3 & op(e1, e0) = e3
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (13915), (14067) are inconsistent by
% 236.29/44.44 | | | | | | | | | | | | | | | | | sub-proof #788.
% 236.29/44.44 | | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | Case 2:
% 236.29/44.44 | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | (14068) all_58_11 = e2 & op(e1, e0) = e2
% 236.29/44.44 | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | ALPHA: (14068) implies:
% 236.29/44.44 | | | | | | | | | | | | | | | (14069) all_58_11 = e2
% 236.29/44.44 | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | | REF_CLOSE: (6), (13915), (14069) are inconsistent by
% 236.29/44.44 | | | | | | | | | | | | | | | sub-proof #1020.
% 236.29/44.44 | | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | End of split
% 236.29/44.44 | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | Case 2:
% 236.29/44.44 | | | | | | | | | |
% 236.29/44.44 | | | | | | | | | | (14070) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.29/44.44 | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.29/44.44 | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | BETA: splitting (14070) gives:
% 236.33/44.44 | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | (14071) all_58_8 = e0 & op(e1, e1) = e0
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | ALPHA: (14071) implies:
% 236.33/44.44 | | | | | | | | | | | (14072) all_58_8 = e0
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.44 | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.44 | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.44 | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.44 | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.44 | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.44 | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.44 | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.44 | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.44 | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.44 | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.44 | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.44 | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.44 | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.44 | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.44 | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.44 | | | | | | | | | | | (13895), (13896), (13897), (13899), (14072),
% 236.33/44.44 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.44 | | | | | | | | | | | #563.
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | (14073) all_58_11 = e0 & op(e1, e0) = e0
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | ALPHA: (14073) implies:
% 236.33/44.44 | | | | | | | | | | | (14074) all_58_11 = e0
% 236.33/44.44 | | | | | | | | | | | (14075) op(e1, e0) = e0
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | BETA: splitting (224) gives:
% 236.33/44.44 | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | (14076) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.33/44.44 | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.33/44.44 | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | BETA: splitting (14076) gives:
% 236.33/44.44 | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | (14077) all_58_6 = e1 & op(e1, e3) = e1
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | ALPHA: (14077) implies:
% 236.33/44.44 | | | | | | | | | | | | | (14078) all_58_6 = e1
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.33/44.44 | | | | | | | | | | | | | (245), (10187), (13794), (14078),
% 236.33/44.44 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.44 | | | | | | | | | | | | | #1161.
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | (14079) all_58_7 = e1 & op(e1, e2) = e1
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | ALPHA: (14079) implies:
% 236.33/44.44 | | | | | | | | | | | | | (14080) all_58_7 = e1
% 236.33/44.44 | | | | | | | | | | | | | (14081) op(e1, e2) = e1
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.33/44.44 | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | (14082) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.33/44.44 | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | BETA: splitting (14082) gives:
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | (14083) all_58_6 = e2 & op(e1, e3) = e2
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | ALPHA: (14083) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | (14084) all_58_6 = e2
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.33/44.44 | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.33/44.44 | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.33/44.44 | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.33/44.44 | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.33/44.44 | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.33/44.44 | | | | | | | | | | | | | | | (13794), (13899), (14074), (14084),
% 236.33/44.44 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.44 | | | | | | | | | | | | | | | #548.
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | (14085) all_58_7 = e2 & op(e1, e2) = e2
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | REF_CLOSE: (6), (14080), (14085) are inconsistent by
% 236.33/44.44 | | | | | | | | | | | | | | | sub-proof #2218.
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | End of split
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | (14086) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.33/44.44 | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | BETA: splitting (14086) gives:
% 236.33/44.44 | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | (14087) all_58_8 = e2 & op(e1, e1) = e2
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | ALPHA: (14087) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | (14088) all_58_8 = e2
% 236.33/44.44 | | | | | | | | | | | | | | | (14089) op(e1, e1) = e2
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 236.33/44.44 | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | (14090) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_7 = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | & op(e1, e2) = e3)
% 236.33/44.44 | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | BETA: splitting (14090) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | (14091) all_58_6 = e3 & op(e1, e3) = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | ALPHA: (14091) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | (14092) all_58_6 = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | (14093) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.33/44.44 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.33/44.44 | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | BETA: splitting (14093) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | (14094) all_58_9 = e3 & op(e3, e0) = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | ALPHA: (14094) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | (14095) all_58_9 = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | (14096) op(e3, e0) = e3
% 236.33/44.44 | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | (14097) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14097) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | (14098) all_58_0 = e2 & op(e3, e3) = e2
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14098) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | (14099) op(e3, e3) = e2
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (13794), (14099), (function-axioms) are
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | (14100) all_58_1 = e2 & op(e3, e2) = e2
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | (14101) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14101) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14102) all_58_1 = e0 & op(e3, e2) = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14102) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14103) all_58_1 = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (14074),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14080), (14088), (14089), (14092), (14095),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14096), (14103), (function-axioms) are
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #543.
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14104) all_58_3 = e0 & op(e2, e2) = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10197), (14074),
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14089), (14092), (14104), (function-axioms) are
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #763.
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | (14105) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14105) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14106) all_58_7 = e0 & op(e1, e2) = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14106) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14107) op(e1, e2) = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (14081), (14107), (function-axioms)
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14100) implies:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14108) all_58_1 = e2
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e1,
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (13899), (14089) gives:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14109) e2 = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14108), (14109) imply:
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | | (14110) all_58_1 = e0
% 236.33/44.44 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (14074),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14080), (14088), (14089), (14092), (14095),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14096), (14110), (function-axioms) are
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #543.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | (14111) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14111) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14112) all_58_4 = e2 & op(e3, e1) = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14112) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14113) all_58_4 = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (14074), (14080), (14088),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14089), (14092), (14095), (14096), (14113),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | #544.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14114) all_58_9 = e2 & op(e3, e0) = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14114) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14115) op(e3, e0) = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14096), (14115), (function-axioms) are
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14116) all_58_10 = e3 & op(e2, e0) = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | ALPHA: (14116) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14117) all_58_10 = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (231), (232),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (233), (10197), (13790), (14117),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | #1099.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | (14118) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.33/44.45 | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | BETA: splitting (14118) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14119) all_58_11 = e3 & op(e1, e0) = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | ALPHA: (14119) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14120) all_58_11 = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (14080), (14088), (14092),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14120) are inconsistent by sub-proof #909.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14121) all_58_15 = e3 & op(e0, e0) = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | ALPHA: (14121) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | (14122) all_58_15 = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | (14123) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14123) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14124) all_58_9 = e1 & op(e3, e0) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14124) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14125) all_58_9 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (14092), (14125),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | #640.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14126) all_58_10 = e1 & op(e2, e0) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14126) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | (14127) all_58_10 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | (14128) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14128) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14129) all_58_4 = e0 & op(e3, e1) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14129) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14130) all_58_4 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14131) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (231), (233),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (240), (244), (246), (10188), (10197), (13794),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14127), (14131), (function-axioms) are
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #647.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14132) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14132) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14133) all_58_8 = e1 & op(e1, e1) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14133) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14134) all_58_8 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (14074), (14080), (14092),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14134) are inconsistent by sub-proof #2215.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14135) all_58_14 = e1 & op(e0, e1) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14135) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14136) all_58_14 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (164), (165),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (216), (217), (218), (220), (221),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (237),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (10187),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (10188), (10189), (10191), (10197), (13790),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (13794), (13899), (14092), (14130), (14136),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | #582.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14137) all_58_5 = e0 & op(e2, e1) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14137) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | (14138) all_58_5 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14139) all_58_15 = e0 & op(e0, e0) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14139) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14140) all_58_15 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14122), (14140) imply:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14141) e3 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14092), (14141) imply:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14142) all_58_6 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (14074), (14089),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14142), (function-axioms) are inconsistent by
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1686.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14143) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14143) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | (14144) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14145) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (231), (233),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (244), (246), (10188), (10197), (13794),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14127), (14145), (function-axioms) are
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #647.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | (14146) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14146) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (14147) all_58_8 = e1 & op(e1, e1) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14147) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (14148) all_58_8 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (14074), (14080), (14092),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (14148) are inconsistent by sub-proof #2215.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (14149) all_58_14 = e1 & op(e0, e1) = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14149) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | (14150) all_58_14 = e1
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14151) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14151) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14152) all_58_2 = e2 & op(e2, e3) = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14152) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14153) all_58_2 = e2
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14154) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14154) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14155) all_58_0 = e0 & op(e3, e3) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14155) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14156) op(e3, e3) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13794), (14156), (function-axioms) are
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14157) all_58_2 = e0 & op(e2, e3) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14157) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14158) all_58_2 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14153), (14158) imply:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14159) e2 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14088), (14159) imply:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14160) all_58_8 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (14160),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #563.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14161) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14161) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14162) all_58_6 = e0 & op(e1, e3) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14162) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14163) all_58_6 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (216), (218),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (10187), (13794), (14122), (14150),
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14163), (function-axioms) are inconsistent by
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #542.
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14164) all_58_12 = e0 & op(e0, e3) = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14164) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14165) all_58_12 = e0
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14166) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3)
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14166) gives:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14167) all_58_4 = e3 & op(e3, e1) = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14167) implies:
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14168) all_58_4 = e3
% 236.33/44.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (165), (167),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (170), (221), (225), (226), (228), (230), (231),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (233), (237), (239), (240), (243), (244),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (246), (10187), (10188), (10189), (10191),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10197), (13790), (13794), (13899), (14074),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14079), (14080), (14088), (14089), (14092),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14122), (14127), (14144), (14150), (14153),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14165), (14168), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #539.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14169) all_58_5 = e3 & op(e2, e1) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (10191), (14169), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14170) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14170) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14171) all_58_8 = e3 & op(e1, e1) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14171) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172) op(e1, e1) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14173) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (10187), (13794), (14173),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14174) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14174) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (14074), (14080), (14092),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14172), (function-axioms) are inconsistent by
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #546.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14175) all_58_12 = e3 & op(e0, e3) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14175) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14176) all_58_12 = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (216), (218), (14122),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14150), (14176), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1031.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14177) all_58_14 = e3 & op(e0, e1) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (245), (10187), (13794), (14092), (14150),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14177), (function-axioms) are inconsistent by
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #646.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14178) all_58_3 = e2 & op(e2, e2) = e2
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (162), (226), (10189), (10197), (14074),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14089), (14092), (14178), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #966.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14179) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14179) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14180) all_58_5 = e2 & op(e2, e1) = e2
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14180) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14181) all_58_5 = e2
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14138), (14181) imply:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14182) e2 = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14088), (14182) imply:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14183) all_58_8 = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (14183),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #563.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14184) all_58_10 = e2 & op(e2, e0) = e2
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14184) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14185) all_58_10 = e2
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14127), (14185) imply:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14186) e2 = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14088), (14186) imply:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) all_58_8 = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (225), (14074), (14080), (14092),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14187) are inconsistent by sub-proof #2215.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | (14188) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14188) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (14189) all_58_8 = e0 & op(e1, e1) = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14189) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (14190) all_58_8 = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (36), (61), (88),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (94), (110), (112), (113), (117), (120), (121),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (133), (134), (135), (145), (158),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (189),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (190), (191), (193), (197), (200), (201), (202),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (203), (212), (213), (214), (216), (217), (218),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (222), (223), (224), (225),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (230), (231), (232),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (233), (235), (236), (237), (239), (240), (243),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (244), (245), (246), (254), (255), (256), (258),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (280), (281), (282), (299), (341),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (379), (386), (387), (388), (389), (390), (10184),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (10185), (10186), (10187), (10188), (10189),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (10190), (10191), (10192), (10197), (10198),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (13787), (13788), (13789), (13790), (13791),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (13792), (13794), (13796), (13893), (13894),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (13895), (13896), (13897), (13899), (14190),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | #563.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (14191) all_58_14 = e0 & op(e0, e1) = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14191) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (14192) all_58_14 = e0
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (225), (228),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (240), (244), (246), (10188),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (10197), (13794), (14074), (14080), (14092),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | (14127), (14192), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #540.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | (14193) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14193) gives:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14194) all_58_11 = e1 & op(e1, e0) = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14194) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14195) op(e1, e0) = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (14080), (14088), (14092),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14195), (function-axioms) are inconsistent by
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | sub-proof #1555.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14196) all_58_15 = e1 & op(e0, e0) = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14196) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14197) all_58_15 = e1
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (243),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (245), (10187), (13794), (14092), (14122),
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | (14197), (function-axioms) are inconsistent by
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | | sub-proof #1160.
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | (14198) all_58_7 = e3 & op(e1, e2) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | ALPHA: (14198) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | | | (14199) op(e1, e2) = e3
% 236.33/44.46 | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (10189), (14199), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 236.33/44.46 | | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | (14200) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_11 =
% 236.33/44.46 | | | | | | | | | | | | | | | | e3 & op(e1, e0) = e3)
% 236.33/44.46 | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (14074), (14089), (14200),
% 236.33/44.46 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | | | | | | | | #1797.
% 236.33/44.46 | | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | (14201) all_58_11 = e2 & op(e1, e0) = e2
% 236.33/44.46 | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | ALPHA: (14201) implies:
% 236.33/44.46 | | | | | | | | | | | | | | | (14202) all_58_11 = e2
% 236.33/44.46 | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | | REF_CLOSE: (5), (14074), (14202) are inconsistent by
% 236.33/44.46 | | | | | | | | | | | | | | | sub-proof #2110.
% 236.33/44.46 | | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | (14203) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.33/44.46 | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | REF_CLOSE: (4), (13899), (14075), (14203), (function-axioms)
% 236.33/44.46 | | | | | | | | | | | | are inconsistent by sub-proof #795.
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | End of split
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | (14204) all_12_2 = e3
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | COMBINE_EQS: (346), (14204) imply:
% 236.33/44.46 | | | | | | | | (14205) all_4_2 = e3
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | COMBINE_EQS: (254), (14205) imply:
% 236.33/44.46 | | | | | | | | (14206) all_56_31 = e3
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | REDUCE: (387), (14205) imply:
% 236.33/44.46 | | | | | | | | (14207) ~ (all_52_12 = e3)
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | REDUCE: (36), (14205) imply:
% 236.33/44.46 | | | | | | | | (14208) op(e0, e0) = e3
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | BETA: splitting (245) gives:
% 236.33/44.46 | | | | | | | |
% 236.33/44.46 | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | | (14209) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 236.33/44.46 | | | | | | | | | & op(e2, e3) = e3)
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | | REF_CLOSE: (8), (167), (10187), (13794), (14209),
% 236.33/44.46 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | #1208.
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | | (14210) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 = e3
% 236.33/44.46 | | | | | | | | | & op(e0, e3) = e3)
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | | BETA: splitting (14210) gives:
% 236.33/44.46 | | | | | | | | |
% 236.33/44.46 | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | (14211) all_58_6 = e3 & op(e1, e3) = e3
% 236.33/44.46 | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | ALPHA: (14211) implies:
% 236.33/44.46 | | | | | | | | | | (14212) all_58_6 = e3
% 236.33/44.46 | | | | | | | | | | (14213) op(e1, e3) = e3
% 236.33/44.46 | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | BETA: splitting (222) gives:
% 236.33/44.46 | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | (14214) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.33/44.46 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | BETA: splitting (14214) gives:
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | (14215) all_58_9 = e3 & op(e3, e0) = e3
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | ALPHA: (14215) implies:
% 236.33/44.46 | | | | | | | | | | | | (14216) op(e3, e0) = e3
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | REF_CLOSE: (168), (14207), (14216), (function-axioms) are
% 236.33/44.46 | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | (14217) all_58_10 = e3 & op(e2, e0) = e3
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | ALPHA: (14217) implies:
% 236.33/44.46 | | | | | | | | | | | | (14218) all_58_10 = e3
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (231), (232),
% 236.33/44.46 | | | | | | | | | | | | (233), (10197), (13790), (14218),
% 236.33/44.46 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.46 | | | | | | | | | | | | #1099.
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | End of split
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | Case 2:
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | (14219) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.33/44.46 | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | BETA: splitting (14219) gives:
% 236.33/44.46 | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | Case 1:
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.46 | | | | | | | | | | | | (14220) all_58_11 = e3 & op(e1, e0) = e3
% 236.33/44.46 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | ALPHA: (14220) implies:
% 236.33/44.47 | | | | | | | | | | | | (14221) all_58_11 = e3
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | (14222) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (14222),
% 236.33/44.47 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.47 | | | | | | | | | | | | | #1401.
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | (14223) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.33/44.47 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | BETA: splitting (14223) gives:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | (14224) all_58_4 = e3 & op(e3, e1) = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | ALPHA: (14224) implies:
% 236.33/44.47 | | | | | | | | | | | | | | (14225) all_58_4 = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (164), (167),
% 236.33/44.47 | | | | | | | | | | | | | | (170), (216), (217), (219), (220), (221), (222),
% 236.33/44.47 | | | | | | | | | | | | | | (223), (224), (229), (231), (232), (233), (235),
% 236.33/44.47 | | | | | | | | | | | | | | (237), (239), (240), (243), (244), (245), (246),
% 236.33/44.47 | | | | | | | | | | | | | | (10187), (10188), (10190), (10197), (13790),
% 236.33/44.47 | | | | | | | | | | | | | | (13794), (14208), (14212), (14221), (14224),
% 236.33/44.47 | | | | | | | | | | | | | | (14225), (function-axioms) are inconsistent by
% 236.33/44.47 | | | | | | | | | | | | | | sub-proof #529.
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | (14226) all_58_9 = e3 & op(e3, e0) = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | ALPHA: (14226) implies:
% 236.33/44.47 | | | | | | | | | | | | | | (14227) op(e3, e0) = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REF_CLOSE: (168), (14207), (14227), (function-axioms) are
% 236.33/44.47 | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | End of split
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | End of split
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | (14228) all_58_15 = e3 & op(e0, e0) = e3
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | ALPHA: (14228) implies:
% 236.33/44.47 | | | | | | | | | | | | (14229) all_58_15 = e3
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.33/44.47 | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | (14230) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | REF_CLOSE: (8), (170), (10188), (13794), (14230),
% 236.33/44.47 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.47 | | | | | | | | | | | | | #1401.
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | (14231) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.33/44.47 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | BETA: splitting (14231) gives:
% 236.33/44.47 | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | (14232) all_58_4 = e3 & op(e3, e1) = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | ALPHA: (14232) implies:
% 236.33/44.47 | | | | | | | | | | | | | | (14233) all_58_4 = e3
% 236.33/44.47 | | | | | | | | | | | | | | (14234) op(e3, e1) = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e3,
% 236.33/44.47 | | | | | | | | | | | | | | e3, e1, simplifying with (163), (14213) gives:
% 236.33/44.47 | | | | | | | | | | | | | | (14235) all_52_2 = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e3,
% 236.33/44.47 | | | | | | | | | | | | | | e1, e3, simplifying with (169), (14234) gives:
% 236.33/44.47 | | | | | | | | | | | | | | (14236) all_52_8 = e3
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REDUCE: (143), (14235) imply:
% 236.33/44.47 | | | | | | | | | | | | | | (14237) ~ (all_52_6 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REDUCE: (141), (14235) imply:
% 236.33/44.47 | | | | | | | | | | | | | | (14238) ~ (all_52_14 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | SIMP: (14238) implies:
% 236.33/44.47 | | | | | | | | | | | | | | (14239) ~ (all_52_14 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REDUCE: (123), (14236) imply:
% 236.33/44.47 | | | | | | | | | | | | | | (14240) ~ (all_52_9 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REDUCE: (120), (14236) imply:
% 236.33/44.47 | | | | | | | | | | | | | | (14241) ~ (all_52_12 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | REDUCE: (380), (14236) imply:
% 236.33/44.47 | | | | | | | | | | | | | | (14242) ~ (all_6_2 = e3)
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 236.33/44.47 | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | (14243) ~ (all_38_2 = e1)
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | REDUCE: (13788), (14243) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | (14244) $false
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | CLOSE: (14244) is inconsistent.
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | (14245) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 236.33/44.47 | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 236.33/44.47 | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 236.33/44.47 | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | BETA: splitting (14245) gives:
% 236.33/44.47 | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | (14246) ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 &
% 236.33/44.47 | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 236.33/44.47 | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | ALPHA: (14246) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | (14247) ~ (all_38_0 = e2)
% 236.33/44.47 | | | | | | | | | | | | | | | | (14248) op(e3, e1) = all_38_1
% 236.33/44.47 | | | | | | | | | | | | | | | | (14249) op(all_38_1, e3) = all_38_0
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | BETA: splitting (13787) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14250) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 236.33/44.47 | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 236.33/44.47 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | ALPHA: (14250) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14251) ~ (all_10_0 = e0)
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14252) op(e3, e1) = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14253) op(all_10_1, e3) = all_10_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (14234), (14248) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14254) all_38_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (14248),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14252) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14255) all_38_1 = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (14254), (14255) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14256) all_10_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14249), (14254) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14257) op(e3, e3) = all_38_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14253), (14256) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14258) op(e3, e3) = all_10_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_38_0,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (13794), (14257) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14259) all_38_0 = e1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_0,
% 236.33/44.47 | | | | | | | | | | | | | | | | | all_38_0, e3, e3, simplifying with (14257),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14258) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14260) all_38_0 = all_10_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (14259), (14260) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14261) all_10_0 = e1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14247), (14259) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14262) ~ (e2 = e1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (58), (85),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (94), (110), (113), (117), (145), (157), (158),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (170),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (194), (213), (216), (217), (218), (219), (220),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (243), (244), (245),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (246), (266), (297), (328), (339), (381), (385),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (391), (10184), (10185), (10186), (10187),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10188), (10189), (10190), (10191), (10192),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10197), (13789), (13790), (13791), (13793),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (13794), (14206), (14207), (14212), (14229),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14233), (14239), (function-axioms) are
% 236.33/44.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14263) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 236.33/44.47 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | ALPHA: (14263) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14264) ~ (all_10_1 = e2)
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14265) op(e3, e1) = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (14234), (14248) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14266) all_38_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (14248),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14265) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14267) all_38_1 = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (14266), (14267) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14268) all_10_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14249), (14266) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14269) op(e3, e3) = all_38_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_38_0,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (13794), (14269) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14270) all_38_0 = e1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14247), (14270) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14271) ~ (e2 = e1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (58), (85),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (94), (110), (113), (117), (145), (157), (158),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (170),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (194), (213), (216), (217), (218), (219), (220),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (243), (244), (245),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (246), (266), (297), (328), (339), (381), (385),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (391), (10184), (10185), (10186), (10187),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10188), (10189), (10190), (10191), (10192),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10197), (13789), (13790), (13791), (13793),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (13794), (14206), (14207), (14212), (14229),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14233), (14239), (function-axioms) are
% 236.33/44.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | End of split
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | (14272) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 236.33/44.47 | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | ALPHA: (14272) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | (14273) ~ (all_38_1 = e0)
% 236.33/44.47 | | | | | | | | | | | | | | | | (14274) op(e3, e1) = all_38_1
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | BETA: splitting (13787) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14275) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 236.33/44.47 | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 236.33/44.47 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | ALPHA: (14275) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14276) ~ (all_10_0 = e0)
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14277) op(e3, e1) = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14278) op(all_10_1, e3) = all_10_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (14234), (14274) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14279) all_38_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (14274),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14277) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14280) all_38_1 = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (14279), (14280) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14281) all_10_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REDUCE: (14278), (14281) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14282) op(e3, e3) = all_10_0
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_0,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e3, e3, simplifying with (13794), (14282) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14283) all_10_0 = e1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (58), (85),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (94), (110), (113), (117), (145), (157), (158),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (160), (162), (164), (165), (167), (168), (170),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (194), (213), (216), (217), (218), (219), (220),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (228), (229), (230), (231), (232), (233), (235),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (236), (237), (239), (240), (243), (244), (245),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (246), (266), (297), (328), (339), (381), (385),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (391), (10184), (10185), (10186), (10187),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10188), (10189), (10190), (10191), (10192),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (10197), (13789), (13790), (13791), (13793),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (13794), (14206), (14207), (14212), (14229),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14233), (14239), (function-axioms) are
% 236.33/44.47 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #488.
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14284) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 236.33/44.47 | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | ALPHA: (14284) implies:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14285) ~ (all_10_1 = e2)
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14286) op(e3, e1) = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_38_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | e1, e3, simplifying with (14234), (14274) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14287) all_38_1 = e3
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_1,
% 236.33/44.47 | | | | | | | | | | | | | | | | | all_38_1, e1, e3, simplifying with (14274),
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14286) gives:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14288) all_38_1 = all_10_1
% 236.33/44.47 | | | | | | | | | | | | | | | | |
% 236.33/44.47 | | | | | | | | | | | | | | | | | COMBINE_EQS: (14287), (14288) imply:
% 236.33/44.47 | | | | | | | | | | | | | | | | | (14289) all_10_1 = e3
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | BETA: splitting (58) gives:
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14290) ~ (all_18_2 = e0)
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (85), (94),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (110), (113), (117), (145), (157), (158), (160),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (162), (164), (165), (167), (168), (170), (194),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (213), (216), (217), (218), (219), (220), (221),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (235), (236),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (237), (239), (240), (243), (244), (245), (246),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (266), (297), (328), (339), (381), (385), (391),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (10184), (10185), (10186), (10187), (10188),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (10189), (10190), (10191), (10192), (10197),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (13789), (13790), (13791), (13793), (13794),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14206), (14207), (14212), (14229), (14233),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14239), (14290), (function-axioms) are
% 236.33/44.48 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #489.
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14291) all_18_2 = e0
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (339), (14291) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14292) all_6_2 = e0
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | SIMP: (14292) implies:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14293) all_6_2 = e0
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (14293) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14294) all_56_21 = e0
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | REDUCE: (391), (14293) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14295) ~ (e3 = e0)
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | REDUCE: (39), (14293) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14296) op(e1, e1) = e0
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (94), (158), (162),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (164), (165), (167), (170), (213), (216), (217),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (218), (219), (220), (221), (222), (223), (224),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (225), (226), (227), (228), (229), (230), (231),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (232), (233), (235), (236), (237), (239), (240),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (243), (244), (245), (246), (10184), (10185),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (10187), (10188), (10189), (10190), (10191),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (10197), (13789), (13790), (13791), (13794),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14206), (14212), (14229), (14233), (14294),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14296), (function-axioms) are inconsistent by
% 236.33/44.48 | | | | | | | | | | | | | | | | | | sub-proof #497.
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | (14297) all_58_9 = e3 & op(e3, e0) = e3
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | ALPHA: (14297) implies:
% 236.33/44.48 | | | | | | | | | | | | | | (14298) op(e3, e0) = e3
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | REF_CLOSE: (168), (14207), (14298), (function-axioms) are
% 236.33/44.48 | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | (14299) all_58_12 = e3 & op(e0, e3) = e3
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | ALPHA: (14299) implies:
% 236.33/44.48 | | | | | | | | | | (14300) all_58_12 = e3
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | BETA: splitting (230) gives:
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | (14301) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3
% 236.33/44.48 | | | | | | | | | | | & op(e2, e1) = e3)
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | BETA: splitting (14301) gives:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14302) all_58_4 = e3 & op(e3, e1) = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | ALPHA: (14302) implies:
% 236.33/44.48 | | | | | | | | | | | | (14303) all_58_4 = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (39), (158), (162),
% 236.33/44.48 | | | | | | | | | | | | (164), (167), (170), (216), (217), (219), (220),
% 236.33/44.48 | | | | | | | | | | | | (221), (222), (223), (224), (226), (229), (231),
% 236.33/44.48 | | | | | | | | | | | | (232), (233), (235), (237), (239), (240), (243),
% 236.33/44.48 | | | | | | | | | | | | (244), (245), (246), (391), (10187), (10188),
% 236.33/44.48 | | | | | | | | | | | | (10189), (10190), (10197), (13790), (13794),
% 236.33/44.48 | | | | | | | | | | | | (14208), (14300), (14302), (14303),
% 236.33/44.48 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.48 | | | | | | | | | | | | #487.
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14304) all_58_5 = e3 & op(e2, e1) = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | REF_CLOSE: (165), (10191), (14304), (function-axioms) are
% 236.33/44.48 | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | (14305) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 =
% 236.33/44.48 | | | | | | | | | | | e3 & op(e0, e1) = e3)
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | BETA: splitting (14305) gives:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14306) all_58_8 = e3 & op(e1, e1) = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | REF_CLOSE: (39), (391), (14306), (function-axioms) are
% 236.33/44.48 | | | | | | | | | | | | inconsistent by sub-proof #2092.
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14307) all_58_14 = e3 & op(e0, e1) = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | ALPHA: (14307) implies:
% 236.33/44.48 | | | | | | | | | | | | (14308) all_58_14 = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (216), (217),
% 236.33/44.48 | | | | | | | | | | | | (218), (239), (243), (245), (10187), (13794),
% 236.33/44.48 | | | | | | | | | | | | (14300), (14308), (function-axioms) are
% 236.33/44.48 | | | | | | | | | | | | inconsistent by sub-proof #1200.
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | End of split
% 236.33/44.48 | | | | | | | | |
% 236.33/44.48 | | | | | | | | End of split
% 236.33/44.48 | | | | | | | |
% 236.33/44.48 | | | | | | | End of split
% 236.33/44.48 | | | | | | |
% 236.33/44.48 | | | | | | End of split
% 236.33/44.48 | | | | | |
% 236.33/44.48 | | | | | End of split
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | Case 2:
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | (14309) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 &
% 236.33/44.48 | | | | | op(e2, e0) = e3)
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | REF_CLOSE: (164), (165), (10191), (10192), (14309), (function-axioms)
% 236.33/44.48 | | | | | are inconsistent by sub-proof #1649.
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | End of split
% 236.33/44.48 | | | |
% 236.33/44.48 | | | End of split
% 236.33/44.48 | | |
% 236.33/44.48 | | Case 2:
% 236.33/44.48 | | |
% 236.33/44.48 | | | (14310) all_6_2 = e3
% 236.33/44.48 | | | (14311) ( ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 & op(e1, e3) =
% 236.33/44.48 | | | all_6_1 & $i(all_6_0) & $i(all_6_1)) | ( ~ (all_6_1 = e0) &
% 236.33/44.48 | | | op(e1, e3) = all_6_1 & $i(all_6_1))
% 236.33/44.48 | | |
% 236.33/44.48 | | | COMBINE_EQS: (305), (14310) imply:
% 236.33/44.48 | | | (14312) all_46_2 = e3
% 236.33/44.48 | | |
% 236.33/44.48 | | | COMBINE_EQS: (266), (14310) imply:
% 236.33/44.48 | | | (14313) all_56_21 = e3
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (367), (14310) imply:
% 236.33/44.48 | | | (14314) ~ (all_52_2 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (378), (14310) imply:
% 236.33/44.48 | | | (14315) ~ (all_52_6 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (380), (14310) imply:
% 236.33/44.48 | | | (14316) ~ (all_52_8 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (381), (14310) imply:
% 236.33/44.48 | | | (14317) ~ (all_52_9 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (383), (14310) imply:
% 236.33/44.48 | | | (14318) ~ (all_52_11 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | REDUCE: (385), (14310) imply:
% 236.33/44.48 | | | (14319) ~ (all_52_14 = e3)
% 236.33/44.48 | | |
% 236.33/44.48 | | | BETA: splitting (230) gives:
% 236.33/44.48 | | |
% 236.33/44.48 | | | Case 1:
% 236.33/44.48 | | | |
% 236.33/44.48 | | | | (14320) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_5 = e3 & op(e2,
% 236.33/44.48 | | | | e1) = e3)
% 236.33/44.48 | | | |
% 236.33/44.48 | | | | REF_CLOSE: (165), (169), (14316), (14317), (14320), (function-axioms)
% 236.33/44.48 | | | | are inconsistent by sub-proof #1628.
% 236.33/44.48 | | | |
% 236.33/44.48 | | | Case 2:
% 236.33/44.48 | | | |
% 236.33/44.48 | | | | (14321) (all_58_8 = e3 & op(e1, e1) = e3) | (all_58_14 = e3 & op(e0,
% 236.33/44.48 | | | | e1) = e3)
% 236.33/44.48 | | | |
% 236.33/44.48 | | | | BETA: splitting (14321) gives:
% 236.33/44.48 | | | |
% 236.33/44.48 | | | | Case 1:
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | (14322) all_58_8 = e3 & op(e1, e1) = e3
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | ALPHA: (14322) implies:
% 236.33/44.48 | | | | | (14323) all_58_8 = e3
% 236.33/44.48 | | | | | (14324) op(e1, e1) = e3
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | BETA: splitting (43) gives:
% 236.33/44.48 | | | | |
% 236.33/44.48 | | | | | Case 1:
% 236.33/44.48 | | | | | |
% 236.33/44.48 | | | | | | (14325) ~ (all_8_2 = e3)
% 236.33/44.48 | | | | | |
% 236.33/44.48 | | | | | | BETA: splitting (46) gives:
% 236.33/44.48 | | | | | |
% 236.33/44.48 | | | | | | Case 1:
% 236.33/44.48 | | | | | | |
% 236.33/44.48 | | | | | | | (14326) ~ (all_10_2 = e1)
% 236.33/44.48 | | | | | | |
% 236.33/44.48 | | | | | | | BETA: splitting (49) gives:
% 236.33/44.48 | | | | | | |
% 236.33/44.48 | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | |
% 236.33/44.48 | | | | | | | | (14327) ~ (all_12_2 = e3)
% 236.33/44.48 | | | | | | | |
% 236.33/44.48 | | | | | | | | REDUCE: (346), (14327) imply:
% 236.33/44.48 | | | | | | | | (14328) ~ (all_4_2 = e3)
% 236.33/44.48 | | | | | | | |
% 236.33/44.48 | | | | | | | | BETA: splitting (52) gives:
% 236.33/44.48 | | | | | | | |
% 236.33/44.48 | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | |
% 236.33/44.48 | | | | | | | | | (14329) ~ (all_14_2 = e0)
% 236.33/44.48 | | | | | | | | |
% 236.33/44.48 | | | | | | | | | REDUCE: (344), (14329) imply:
% 236.33/44.48 | | | | | | | | | (14330) ~ (all_8_2 = e0)
% 236.33/44.48 | | | | | | | | |
% 236.33/44.48 | | | | | | | | | BETA: splitting (55) gives:
% 236.33/44.48 | | | | | | | | |
% 236.33/44.48 | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | (14331) ~ (all_16_2 = e0)
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | REDUCE: (342), (14331) imply:
% 236.33/44.48 | | | | | | | | | | (14332) ~ (all_10_2 = e0)
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | BETA: splitting (61) gives:
% 236.33/44.48 | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | (14333) ~ (all_20_2 = e1)
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | REDUCE: (341), (14333) imply:
% 236.33/44.48 | | | | | | | | | | | (14334) ~ (all_4_2 = e1)
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | BETA: splitting (189) gives:
% 236.33/44.48 | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14335) all_54_15 = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | COMBINE_EQS: (299), (14335) imply:
% 236.33/44.48 | | | | | | | | | | | | (14336) all_4_2 = e3
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | REDUCE: (14328), (14336) imply:
% 236.33/44.48 | | | | | | | | | | | | (14337) $false
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | CLOSE: (14337) is inconsistent.
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | (14338) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | BETA: splitting (14338) gives:
% 236.33/44.48 | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | (14339) all_54_15 = e2
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | COMBINE_EQS: (299), (14339) imply:
% 236.33/44.48 | | | | | | | | | | | | | (14340) all_4_2 = e2
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | REDUCE: (390), (14340) imply:
% 236.33/44.48 | | | | | | | | | | | | | (14341) $false
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | CLOSE: (14341) is inconsistent.
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | (14342) all_54_15 = e1 | all_54_15 = e0
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | BETA: splitting (14342) gives:
% 236.33/44.48 | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | (14343) all_54_15 = e1
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | COMBINE_EQS: (299), (14343) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14344) all_4_2 = e1
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | REDUCE: (14334), (14344) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14345) $false
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | CLOSE: (14345) is inconsistent.
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | (14346) all_54_15 = e0
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | COMBINE_EQS: (299), (14346) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14347) all_4_2 = e0
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | COMBINE_EQS: (254), (14347) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14348) all_56_31 = e0
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | REDUCE: (368), (14347) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14349) ~ (all_52_3 = e0)
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | REDUCE: (388), (14347) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14350) ~ (all_52_13 = e0)
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | REDUCE: (389), (14347) imply:
% 236.33/44.48 | | | | | | | | | | | | | | (14351) ~ (all_52_14 = e0)
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.33/44.48 | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | (14352) ~ (all_22_2 = e1)
% 236.33/44.48 | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | REDUCE: (326), (14352) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | (14353) ~ (all_8_2 = e1)
% 236.33/44.48 | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.33/44.48 | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | (14354) all_54_5 = e3
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14354) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | (14355) all_8_2 = e3
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | REDUCE: (14325), (14355) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | (14356) $false
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | CLOSE: (14356) is inconsistent.
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | (14357) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | BETA: splitting (14357) gives:
% 236.33/44.48 | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14358) all_54_5 = e2
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14358) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14359) all_8_2 = e2
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (14359) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14360) all_56_11 = e2
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | REDUCE: (366), (14359) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14361) ~ (all_52_1 = e2)
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | REDUCE: (373), (14359) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14362) ~ (all_52_7 = e2)
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | REDUCE: (375), (14359) imply:
% 236.33/44.48 | | | | | | | | | | | | | | | | | (14363) ~ (all_52_9 = e2)
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.48 | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (14364) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.48 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | BETA: splitting (14364) gives:
% 236.33/44.48 | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (14365) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (14360), (14361), (14365),
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | #486.
% 236.33/44.48 | | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.48 | | | | | | | | | | | | | | | | | | |
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (14366) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.48 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14313), (14348), (14349), (14366),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | #485.
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14367) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.49 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.49 | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | BETA: splitting (14367) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (14368) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (14360), (14362), (14363), (14368),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | #2325.
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (14369) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (14348), (14350), (14351), (14369),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | | | #2321.
% 236.33/44.49 | | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14370) all_54_5 = e1 | all_54_5 = e0
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14330), (14353), (14370) are inconsistent
% 236.33/44.49 | | | | | | | | | | | | | | | | | by sub-proof #2300.
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | (14371) all_22_2 = e1
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | COMBINE_EQS: (326), (14371) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | (14372) all_8_2 = e1
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (14372) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | (14373) all_56_11 = e1
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | REDUCE: (375), (14372) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | (14374) ~ (all_52_9 = e1)
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | (14375) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.49 | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.49 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | BETA: splitting (14375) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14376) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | BETA: splitting (14376) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14377) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e3
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | ALPHA: (14377) implies:
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14378) ~ (all_56_1 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14379) op(e3, e2) = e3
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | REDUCE: (290), (14378) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14380) ~ (all_10_2 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (204), (292), (361), (14326), (14332),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14379), (14380), (function-axioms) are
% 236.33/44.49 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #484.
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14381) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14313), (14314), (14381),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | | #483.
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14382) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14313), (14348), (14349), (14382),
% 236.33/44.49 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | #485.
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | (14383) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.49 | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.49 | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.49 | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.49 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.49 | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.49 | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.49 | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | BETA: splitting (14383) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14384) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14348), (14373), (14374), (14384),
% 236.33/44.49 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | #2297.
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14385) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (14348), (14350), (14351), (14385),
% 236.33/44.49 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | #2321.
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | (14386) all_20_2 = e1
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | COMBINE_EQS: (341), (14386) imply:
% 236.33/44.49 | | | | | | | | | | | (14387) all_4_2 = e1
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | SIMP: (14387) implies:
% 236.33/44.49 | | | | | | | | | | | (14388) all_4_2 = e1
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | COMBINE_EQS: (254), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14389) all_56_31 = e1
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (368), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14390) ~ (all_52_3 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (386), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14391) ~ (all_52_11 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (387), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14392) ~ (all_52_12 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (388), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14393) ~ (all_52_13 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (389), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14394) ~ (all_52_14 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | REDUCE: (390), (14388) imply:
% 236.33/44.49 | | | | | | | | | | | (14395) ~ (e2 = e1)
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | BETA: splitting (220) gives:
% 236.33/44.49 | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | (14396) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.33/44.49 | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | BETA: splitting (14396) gives:
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | (14397) all_58_9 = e1 & op(e3, e0) = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | REF_CLOSE: (168), (14392), (14397), (function-axioms) are
% 236.33/44.49 | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | (14398) all_58_10 = e1 & op(e2, e0) = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | REF_CLOSE: (164), (14393), (14398), (function-axioms) are
% 236.33/44.49 | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | End of split
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | (14399) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.33/44.49 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | BETA: splitting (14399) gives:
% 236.33/44.49 | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | (14400) all_58_11 = e1 & op(e1, e0) = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | ALPHA: (14400) implies:
% 236.33/44.49 | | | | | | | | | | | | | (14401) op(e1, e0) = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | REF_CLOSE: (160), (14394), (14401), (function-axioms) are
% 236.33/44.49 | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | (14402) all_58_15 = e1 & op(e0, e0) = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | ALPHA: (14402) implies:
% 236.33/44.49 | | | | | | | | | | | | | (14403) all_58_15 = e1
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.33/44.49 | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | (14404) ~ (all_22_2 = e1)
% 236.33/44.49 | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | REDUCE: (326), (14404) imply:
% 236.33/44.49 | | | | | | | | | | | | | | (14405) ~ (all_8_2 = e1)
% 236.33/44.49 | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.33/44.49 | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | (14406) all_54_5 = e3
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14406) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | (14407) all_8_2 = e3
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | REDUCE: (14325), (14407) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | (14408) $false
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | CLOSE: (14408) is inconsistent.
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | (14409) ~ (all_54_5 = e3)
% 236.33/44.49 | | | | | | | | | | | | | | | (14410) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | BETA: splitting (14410) gives:
% 236.33/44.49 | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | (14411) all_54_5 = e2
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14411) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14412) all_8_2 = e2
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14413) all_56_11 = e2
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | REDUCE: (366), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14414) ~ (all_52_1 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | REDUCE: (373), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14415) ~ (all_52_7 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | REDUCE: (375), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14416) ~ (all_52_9 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | REDUCE: (14325), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14417) ~ (e3 = e2)
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | REDUCE: (42), (14412) imply:
% 236.33/44.49 | | | | | | | | | | | | | | | | (14418) op(e2, e2) = e2
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | (14419) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.49 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.49 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | BETA: splitting (14419) gives:
% 236.33/44.49 | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (14420) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.49 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.49 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (14413), (14414), (14420),
% 236.33/44.49 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.49 | | | | | | | | | | | | | | | | | | #486.
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.49 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.49 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14421) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | BETA: splitting (14421) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14422) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | ALPHA: (14422) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14423) op(e1, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14424) op(e3, e1) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (67), (100), (113),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (117), (123), (140), (141), (144), (145), (146),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (192), (197), (198), (200), (204), (213), (219),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (221), (231), (232), (233), (234), (238), (257),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (269), (270), (279), (290), (292), (301), (355),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (359), (361), (363), (365), (14311), (14312),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14313), (14315), (14316), (14317), (14318),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14324), (14332), (14389), (14393), (14403),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14423), (14424), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | (14425) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | BETA: splitting (14425) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14426) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | e3) = e3
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (14426) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14427) op(e0, e3) = e3
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14428) op(e3, e0) = e3
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (113), (148), (159), (164), (165), (167),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (168), (234), (14317), (14418), (14427), (14428),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | #469.
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14429) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | e3) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | ALPHA: (14429) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14430) ~ (all_56_21 = e3)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (14430) imply:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | (14431) $false
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | | CLOSE: (14431) is inconsistent.
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | (14432) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.50 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.50 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.50 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.50 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.50 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.50 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | BETA: splitting (14432) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14433) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.50 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | = e2)
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (14413), (14415), (14416), (14433),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.50 | | | | | | | | | | | | | | | | | | #2325.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14434) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.50 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.33/44.50 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.33/44.50 | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14389), (14394), (14413), (14434),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.50 | | | | | | | | | | | | | | | | | | #2268.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14435) all_54_5 = e1 | all_54_5 = e0
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14330), (14405), (14435) are inconsistent
% 236.33/44.50 | | | | | | | | | | | | | | | | by sub-proof #2300.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | (14436) all_22_2 = e1
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | COMBINE_EQS: (326), (14436) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14437) all_8_2 = e1
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | SIMP: (14437) implies:
% 236.33/44.50 | | | | | | | | | | | | | | (14438) all_8_2 = e1
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (366), (14438) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14439) ~ (all_52_1 = e1)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (375), (14438) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14440) ~ (all_52_9 = e1)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (14325), (14438) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14441) ~ (e3 = e1)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | (14442) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.33/44.50 | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | BETA: splitting (14442) gives:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14443) all_58_0 = e1 & op(e3, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (45), (14326), (14443), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2230.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14444) all_58_2 = e1 & op(e2, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (14439), (14444), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | (14445) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.33/44.50 | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | BETA: splitting (14445) gives:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14446) all_58_6 = e1 & op(e1, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | ALPHA: (14446) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | (14447) op(e1, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | (14448) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | BETA: splitting (14448) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14449) all_58_4 = e1 & op(e3, e1) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | ALPHA: (14449) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14450) op(e3, e1) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (67), (100), (113),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (117), (123), (140), (141), (144), (145), (146),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (192), (197), (198), (200), (204), (213), (219),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (221), (231), (232), (233), (234), (238), (257),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (269), (270), (279), (290), (292), (301), (355),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (359), (361), (363), (365), (14311), (14312),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14313), (14315), (14316), (14317), (14318),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14324), (14332), (14389), (14393), (14403),
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14447), (14450), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14451) all_58_5 = e1 & op(e2, e1) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | ALPHA: (14451) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14452) op(e2, e1) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14440), (14452), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | (14453) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.33/44.50 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (14324), (14391), (14453),
% 236.33/44.50 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.50 | | | | | | | | | | | | | | | | | #467.
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14454) all_58_12 = e1 & op(e0, e3) = e1
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14390), (14454), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | (14455) all_16_2 = e0
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | COMBINE_EQS: (342), (14455) imply:
% 236.33/44.50 | | | | | | | | | | (14456) all_10_2 = e0
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | COMBINE_EQS: (290), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14457) all_56_1 = e0
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | REDUCE: (355), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14458) ~ (all_52_1 = e0)
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | REDUCE: (357), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14459) ~ (all_52_2 = e0)
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | REDUCE: (359), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14460) ~ (all_52_3 = e0)
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | REDUCE: (361), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14461) ~ (all_52_4 = e0)
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | REDUCE: (45), (14456) imply:
% 236.33/44.50 | | | | | | | | | | (14462) op(e3, e3) = e0
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | BETA: splitting (61) gives:
% 236.33/44.50 | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | (14463) ~ (all_20_2 = e1)
% 236.33/44.50 | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | REDUCE: (341), (14463) imply:
% 236.33/44.50 | | | | | | | | | | | (14464) ~ (all_4_2 = e1)
% 236.33/44.50 | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | BETA: splitting (189) gives:
% 236.33/44.50 | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | (14465) all_54_15 = e3
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | REF_CLOSE: (299), (14328), (14465) are inconsistent by
% 236.33/44.50 | | | | | | | | | | | | sub-proof #2340.
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | (14466) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | BETA: splitting (14466) gives:
% 236.33/44.50 | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | (14467) all_54_15 = e2
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | REF_CLOSE: (299), (390), (14467) are inconsistent by
% 236.33/44.50 | | | | | | | | | | | | | sub-proof #2339.
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | (14468) ~ (all_54_15 = e2)
% 236.33/44.50 | | | | | | | | | | | | | (14469) all_54_15 = e1 | all_54_15 = e0
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | BETA: splitting (14469) gives:
% 236.33/44.50 | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | (14470) all_54_15 = e1
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REF_CLOSE: (299), (14464), (14470) are inconsistent by
% 236.33/44.50 | | | | | | | | | | | | | | sub-proof #2338.
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | (14471) all_54_15 = e0
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | COMBINE_EQS: (299), (14471) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14472) all_4_2 = e0
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | SIMP: (14472) implies:
% 236.33/44.50 | | | | | | | | | | | | | | (14473) all_4_2 = e0
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | COMBINE_EQS: (254), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14474) all_56_31 = e0
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (379), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14475) ~ (all_52_7 = e0)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (388), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14476) ~ (all_52_13 = e0)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (390), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14477) ~ (e2 = e0)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (14464), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14478) ~ (e1 = e0)
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | REDUCE: (36), (14473) imply:
% 236.33/44.50 | | | | | | | | | | | | | | (14479) op(e0, e0) = e0
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.33/44.50 | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | (14480) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.33/44.50 | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | BETA: splitting (14480) gives:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14481) all_58_2 = e0 & op(e2, e3) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (14458), (14481), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1985.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14482) all_58_3 = e0 & op(e2, e2) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14330), (14482), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | (14483) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.33/44.50 | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | BETA: splitting (14483) gives:
% 236.33/44.50 | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | (14484) all_58_5 = e0 & op(e2, e1) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | ALPHA: (14484) implies:
% 236.33/44.50 | | | | | | | | | | | | | | | | (14485) op(e2, e1) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | (14486) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.33/44.50 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | BETA: splitting (14486) gives:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14487) all_58_1 = e0 & op(e3, e2) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14461), (14487), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | (14488) all_58_3 = e0 & op(e2, e2) = e0
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14330), (14488), (function-axioms) are
% 236.33/44.50 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 236.33/44.50 | | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.50 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.50 | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | (14489) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | BETA: splitting (14489) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14490) all_58_7 = e0 & op(e1, e2) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | ALPHA: (14490) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14491) op(e1, e2) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e0,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (14491) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14492) all_52_6 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e0,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (14485) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14493) all_52_9 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | REDUCE: (126), (14492) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14494) ~ (all_52_14 = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | SIMP: (14494) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14495) ~ (all_52_14 = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | REDUCE: (117), (14493) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14496) ~ (all_52_13 = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | REDUCE: (375), (14493) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14497) ~ (all_8_2 = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (14498) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | BETA: splitting (14498) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (14499) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14499) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14500) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14500) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14501) ~ (all_56_11 = e2)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14502) op(e2, e3) = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14503) op(e3, e2) = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | REDUCE: (353), (14501) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14504) ~ (all_8_2 = e2)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | (14505) all_54_5 = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14505) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | (14506) all_8_2 = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14325), (14506) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | (14507) $false
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14507) is inconsistent.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | (14508) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14508) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | (14509) all_54_5 = e2
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14509) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | (14510) all_8_2 = e2
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14504), (14510) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | (14511) $false
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14511) is inconsistent.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | (14512) all_54_5 = e1 | all_54_5 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14512) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14513) all_54_5 = e1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14513) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14514) all_8_2 = e1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (14514) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14515) all_22_2 = e1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (14514) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14516) all_30_2 = e1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14517) ~ (all_22_2 = e1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14515), (14517) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14518) $false
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14518) is inconsistent.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | (14519) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (14520) ~ (all_30_2 = e1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14516), (14520) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (14521) $false
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14521) is inconsistent.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (14522) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14522) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14523) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14523) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14524) op(e2, e1) = all_30_1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (14485), (14524) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14525) all_30_1 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (14502) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14526) all_52_1 = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (14503) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14527) all_52_4 = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14526) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14528) ~ (all_52_3 = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14528) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14529) ~ (all_52_3 = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (159), (219), (14318), (14479),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519), (14522), (14524), (14525), (14529),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14530) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14530) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14531) ~ (all_30_1 = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14532) op(e2, e1) = all_30_1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_30_1,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (14485), (14532) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14533) all_30_1 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (14502) gives:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14534) all_52_1 = e3
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14534) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14535) ~ (all_52_3 = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14535) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14536) ~ (all_52_3 = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14531), (14533) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14537) ~ (e3 = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (159), (219), (14318), (14479),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14519), (14522), (14532), (14533), (14536),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | #466.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14538) all_54_5 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14538) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14539) all_8_2 = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14330), (14539) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | (14540) $false
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14540) is inconsistent.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (14541) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14313), (14314), (14541),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | | #483.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (14542) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14313), (14460), (14474), (14542),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | | #485.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (14543) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (160), (164), (165), (14474), (14476),
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | (14485), (14495), (14543), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #858.
% 236.33/44.51 | | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14544) all_58_13 = e0 & op(e0, e2) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | ALPHA: (14544) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | | | (14545) op(e0, e2) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (14475), (14545), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2252.
% 236.33/44.51 | | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | (14546) all_58_10 = e0 & op(e2, e0) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | ALPHA: (14546) implies:
% 236.33/44.51 | | | | | | | | | | | | | | | | (14547) op(e2, e0) = e0
% 236.33/44.51 | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (14476), (14547), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2324.
% 236.33/44.51 | | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | (14548) all_20_2 = e1
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | COMBINE_EQS: (341), (14548) imply:
% 236.33/44.51 | | | | | | | | | | | (14549) all_4_2 = e1
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | SIMP: (14549) implies:
% 236.33/44.51 | | | | | | | | | | | (14550) all_4_2 = e1
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | COMBINE_EQS: (254), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14551) all_56_31 = e1
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (368), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14552) ~ (all_52_3 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (379), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14553) ~ (all_52_7 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (386), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14554) ~ (all_52_11 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (387), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14555) ~ (all_52_12 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (389), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14556) ~ (all_52_14 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | REDUCE: (390), (14550) imply:
% 236.33/44.51 | | | | | | | | | | | (14557) ~ (e2 = e1)
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | BETA: splitting (217) gives:
% 236.33/44.51 | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | (14558) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 236.33/44.51 | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | BETA: splitting (14558) gives:
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | (14559) all_58_12 = e1 & op(e0, e3) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | REF_CLOSE: (159), (14552), (14559), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | (14560) all_58_13 = e1 & op(e0, e2) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | REF_CLOSE: (158), (14553), (14560), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | End of split
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | (14561) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 236.33/44.51 | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | BETA: splitting (14561) gives:
% 236.33/44.51 | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | (14562) all_58_14 = e1 & op(e0, e1) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | ALPHA: (14562) implies:
% 236.33/44.51 | | | | | | | | | | | | | (14563) op(e0, e1) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | REF_CLOSE: (157), (14554), (14563), (function-axioms) are
% 236.33/44.51 | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | Case 2:
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | (14564) all_58_15 = e1 & op(e0, e0) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | ALPHA: (14564) implies:
% 236.33/44.51 | | | | | | | | | | | | | (14565) all_58_15 = e1
% 236.33/44.51 | | | | | | | | | | | | | (14566) op(e0, e0) = e1
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.33/44.51 | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | (14567) ~ (all_22_2 = e1)
% 236.33/44.51 | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | REDUCE: (326), (14567) imply:
% 236.33/44.51 | | | | | | | | | | | | | | (14568) ~ (all_8_2 = e1)
% 236.33/44.51 | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.33/44.51 | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | Case 1:
% 236.33/44.51 | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | (14569) all_54_5 = e3
% 236.33/44.51 | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14569) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | (14570) all_8_2 = e3
% 236.33/44.51 | | | | | | | | | | | | | | |
% 236.33/44.51 | | | | | | | | | | | | | | | REDUCE: (14325), (14570) imply:
% 236.33/44.51 | | | | | | | | | | | | | | | (14571) $false
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | CLOSE: (14571) is inconsistent.
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | (14572) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | BETA: splitting (14572) gives:
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | (14573) all_54_5 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (14573) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14574) all_8_2 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (14574) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14575) all_56_11 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | REDUCE: (366), (14574) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14576) ~ (all_52_1 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | REDUCE: (373), (14574) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14577) ~ (all_52_7 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | REDUCE: (375), (14574) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14578) ~ (all_52_9 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | (14579) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.52 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.52 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | BETA: splitting (14579) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14580) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (14575), (14576), (14580),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | #486.
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14581) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14313), (14457), (14460), (14581),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | #465.
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | (14582) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.52 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.52 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.52 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.52 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | BETA: splitting (14582) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14583) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (14575), (14577), (14578), (14583),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | #2325.
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14584) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14551), (14556), (14575), (14584),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | #2268.
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | End of split
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | End of split
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | (14585) all_54_5 = e1 | all_54_5 = e0
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | REF_CLOSE: (275), (14330), (14568), (14585) are inconsistent
% 236.33/44.52 | | | | | | | | | | | | | | | | by sub-proof #2300.
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | End of split
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | End of split
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | (14586) all_22_2 = e1
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | COMBINE_EQS: (326), (14586) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14587) all_8_2 = e1
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (366), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14588) ~ (all_52_1 = e1)
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (369), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14589) ~ (all_52_4 = e1)
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (375), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14590) ~ (all_52_9 = e1)
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (377), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14591) ~ (all_52_13 = e1)
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (14325), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14592) ~ (e3 = e1)
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | REDUCE: (42), (14587) imply:
% 236.33/44.52 | | | | | | | | | | | | | | (14593) op(e2, e2) = e1
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 236.33/44.52 | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | (14594) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.33/44.52 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | BETA: splitting (14594) gives:
% 236.33/44.52 | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | (14595) all_58_6 = e1 & op(e1, e3) = e1
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | ALPHA: (14595) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | (14596) op(e1, e3) = e1
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | (14597) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (14462), (14589), (14597),
% 236.33/44.52 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | #1826.
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | (14598) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | BETA: splitting (14598) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14599) all_58_4 = e1 & op(e3, e1) = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | ALPHA: (14599) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14600) all_58_4 = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | | (14601) op(e3, e1) = e1
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14602) all_54_12 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (14602) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14603) all_52_3 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | SIMP: (14603) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14604) all_52_3 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14604) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14605) ~ (all_52_1 = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14604) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14606) ~ (all_52_7 = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | SIMP: (14606) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | (14607) ~ (all_52_7 = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | (14608) all_54_4 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (14605), (14608) are inconsistent by
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | (14609) ~ (all_54_4 = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | (14610) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | (14611) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14611) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | (14612) all_58_1 = e3 & op(e3, e2) = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14612) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | (14613) op(e3, e2) = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14610) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14614) all_54_4 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14614) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14615) all_52_1 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14615) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14616) all_52_1 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14616) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14617) ~ (all_52_9 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14617) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14618) ~ (all_52_9 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14605), (14616) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14619) ~ (e3 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (14616) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | (14620) op(e2, e3) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | (14621) all_54_6 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (14621) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | (14622) all_52_9 = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14317), (14622) imply:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | (14623) $false
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14623) is inconsistent.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | (14624) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14625) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (14600), (14618), (14625),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | #464.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | (14626) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14626) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14627) all_58_8 = e2 & op(e1, e1) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14627) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14628) op(e1, e1) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (14628), (function-axioms) are
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14629) all_58_14 = e2 & op(e0, e1) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14629) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14630) all_58_14 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (14631) op(e0, e1) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14632) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14462), (14613), (14632),
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14633) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14633) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14634) all_58_4 = e2 & op(e3, e1) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14634) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14635) all_58_4 = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14600), (14635) are inconsistent by
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14636) all_58_9 = e2 & op(e3, e0) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14636) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14637) op(e3, e0) = e2
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14638) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14638) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14639) all_58_4 = e0 & op(e3, e1) = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14639) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14640) op(e3, e1) = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14601), (14640), (function-axioms) are
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2089.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14641) all_58_5 = e0 & op(e2, e1) = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14641) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14642) op(e2, e1) = e0
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14643) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14643) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14644) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14644) gives:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14645) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14645) implies:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14646) op(e2, e3) = e3
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14620), (14646), (function-axioms) are
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1897.
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14647) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14647) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14648) all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 = e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e2) = e2 & op(e2, e3) =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14648) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649) op(e3, e2) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (163), (167), (239), (246),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14458), (14459), (14460), (14601), (14637),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14649), (function-axioms) are inconsistent by
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14650) all_56_5 = e3 & all_56_17 = e3 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e3, e1) = e3 & op(e1,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14650) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14651) op(e1, e3) = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14596), (14651), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2225.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14652) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (14313), (14460), (14637), (14652),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #461.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14653) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14653) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14654) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14654) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14655) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14655) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14656) op(e2, e1) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14642), (14656), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14657) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14657) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14658) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14658) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14659) op(e2, e1) = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14590), (14659), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2306.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14660) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14660) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14661) op(e0, e2) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14565), (14566), (14607), (14630), (14661),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1636.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14662) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14662) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14663) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14663) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14664) op(e2, e0) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (117), (164), (270), (14590), (14618), (14624),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14664), (function-axioms) are inconsistent by
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #459.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14665) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14665) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14666) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14666) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14667) op(e1, e0) = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14556), (14667), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14668) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14668) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14669) op(e0, e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14631), (14669), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14670) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14670) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14671) all_58_8 = e0 & op(e1, e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14671) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14672) op(e1, e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (226), (14315), (14319),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14596), (14672), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #457.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14673) all_58_14 = e0 & op(e0, e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14673) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14674) op(e0, e1) = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14631), (14674), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | (14675) all_54_4 = e1 | all_54_4 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (14458), (14588), (14675) are inconsistent
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1922.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14676) all_58_3 = e3 & op(e2, e2) = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (14588), (14590),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14591), (14676), (function-axioms) are
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2196.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (14677) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (162), (14315), (14607), (14677),
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | #475.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | End of split
% 236.33/44.53 | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | (14678) ~ (all_54_12 = e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | (14679) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | REDUCE: (257), (14678) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | (14680) ~ (all_52_3 = e3)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (14679) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14681) all_54_12 = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (14681) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14682) all_52_3 = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | SIMP: (14682) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14683) all_52_3 = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (14683) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14684) ~ (all_52_1 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (14683) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14685) ~ (all_52_7 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | SIMP: (14685) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14686) ~ (all_52_7 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14683) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14687) ~ (all_52_11 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | SIMP: (14687) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14688) ~ (all_52_11 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (14683) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | (14689) op(e0, e3) = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (14690) all_54_4 = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (14690) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (14691) all_52_1 = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | SIMP: (14691) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (14692) all_52_1 = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (14692) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | (14693) op(e2, e3) = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14694) all_54_14 = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (14694) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14695) all_52_11 = e3
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (14695) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14696) $false
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14696) is inconsistent.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | (14697) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14697) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | (14698) all_54_14 = e2
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (14688), (14698) are inconsistent by
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1856.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | (14699) ~ (all_54_14 = e2)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | (14700) all_54_14 = e1 | all_54_14 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14700) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14701) all_54_14 = e1
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (255), (14554), (14701) are inconsistent by
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1937.
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14702) all_54_14 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (14702) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14703) all_52_11 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14703) implies:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14704) all_52_11 = e0
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (14704) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14705) ~ (all_52_7 = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14688), (14704) imply:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | (14706) ~ (e2 = e0)
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.33/44.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (14707) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14707) gives:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (14708) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14708) gives:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14709) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14709) implies:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14710) op(e3, e2) = e3
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (135), (170), (191), (256), (14553), (14686),
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14705), (14710), (function-axioms) are
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #456.
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.53 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14711) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (14596), (14693), (14711),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1218.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14712) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14712) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14713) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14713) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14714) ~ (all_56_21 = e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (14714) imply:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14715) $false
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14715) is inconsistent.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14716) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (159), (14680), (14689), (14716),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1819.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14717) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14717) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14718) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14718) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14719) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14719) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14720) ~ (all_56_31 = e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14551), (14720) imply:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14721) $false
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14721) is inconsistent.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14722) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (14590), (14686), (14722),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2305.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14723) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (160), (14551), (14556), (14705), (14723),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | #2251.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | (14724) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (14458), (14588), (14684), (14724) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14725) all_54_12 = e1 | all_54_12 = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (14460), (14552), (14725) are inconsistent
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | by sub-proof #2067.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14726) all_58_9 = e1 & op(e3, e0) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14555), (14726), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | (14727) all_58_7 = e1 & op(e1, e2) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | ALPHA: (14727) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | (14728) all_58_7 = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | (14729) op(e1, e2) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | (14730) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | BETA: splitting (14730) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14731) all_58_4 = e1 & op(e3, e1) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | ALPHA: (14731) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14732) all_58_4 = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14733) op(e3, e1) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | (14734) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (14734) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14735) all_58_1 = e0 & op(e3, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14461), (14735), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14736) all_58_3 = e0 & op(e2, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14330), (14736), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | (14737) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (14737) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14738) all_58_7 = e0 & op(e1, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (14738) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14739) op(e1, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (14729), (14739), (function-axioms)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14740) all_58_13 = e0 & op(e0, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (14740) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | (14741) op(e0, e2) = e0
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | (14742) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14742) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | (14743) all_58_1 = e3 & op(e3, e2) = e3
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14743) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | (14744) op(e3, e2) = e3
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | (14745) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14462), (14744), (14745),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | (14746) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14746) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | (14747) all_58_4 = e2 & op(e3, e1) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14747) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | (14748) all_58_4 = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14732), (14748) are inconsistent by
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | (14749) all_58_9 = e2 & op(e3, e0) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14749) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | (14750) op(e3, e0) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14751) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14751) gives:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14752) all_58_1 = e2 & op(e3, e2) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14752) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14753) op(e3, e2) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (159), (163), (167), (239), (246),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14458), (14459), (14460), (14733), (14750),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14753), (function-axioms) are inconsistent by
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #462.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14754) all_58_3 = e2 & op(e2, e2) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14754) implies:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | (14755) op(e2, e2) = e2
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14593), (14755), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (14756) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (14728), (14741), (14756),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | | #1376.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | (14757) all_58_3 = e3 & op(e2, e2) = e3
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (14588), (14590),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | (14591), (14757), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2196.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | (14758) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (14729), (14741), (14758),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | | #1775.
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14759) all_58_5 = e1 & op(e2, e1) = e1
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (123), (126), (148), (158), (159), (160),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (199), (213), (233), (234), (275), (353), (366),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (373), (375), (377), (14313), (14314), (14317),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (14325), (14330), (14551), (14729), (14759),
% 236.59/44.54 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | | #454.
% 236.59/44.54 | | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | (14760) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.59/44.54 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (14324), (14554), (14760),
% 236.59/44.54 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | | | #467.
% 236.59/44.54 | | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | (14761) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.59/44.54 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.59/44.54 | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (14324), (14556), (14761),
% 236.59/44.54 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.54 | | | | | | | | | | | | | | | #453.
% 236.59/44.54 | | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | End of split
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | (14762) all_14_2 = e0
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | COMBINE_EQS: (344), (14762) imply:
% 236.59/44.54 | | | | | | | | | (14763) all_8_2 = e0
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | SIMP: (14763) implies:
% 236.59/44.54 | | | | | | | | | (14764) all_8_2 = e0
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | COMBINE_EQS: (353), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14765) all_56_11 = e0
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (369), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14766) ~ (all_52_4 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (371), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14767) ~ (all_52_6 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (373), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14768) ~ (all_52_7 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (375), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14769) ~ (all_52_9 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (377), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14770) ~ (all_52_13 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | REDUCE: (14325), (14764) imply:
% 236.59/44.54 | | | | | | | | | (14771) ~ (e3 = e0)
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | BETA: splitting (235) gives:
% 236.59/44.54 | | | | | | | | |
% 236.59/44.54 | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | (14772) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.59/44.54 | | | | | | | | | | & op(e2, e2) = e0)
% 236.59/44.54 | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | BETA: splitting (14772) gives:
% 236.59/44.54 | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | (14773) all_58_1 = e0 & op(e3, e2) = e0
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | REF_CLOSE: (170), (14766), (14773), (function-axioms) are
% 236.59/44.54 | | | | | | | | | | | inconsistent by sub-proof #1968.
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | (14774) all_58_3 = e0 & op(e2, e2) = e0
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | ALPHA: (14774) implies:
% 236.59/44.54 | | | | | | | | | | | (14775) all_58_3 = e0
% 236.59/44.54 | | | | | | | | | | | (14776) op(e2, e2) = e0
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | BETA: splitting (55) gives:
% 236.59/44.54 | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | (14777) ~ (all_16_2 = e0)
% 236.59/44.54 | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | REDUCE: (342), (14777) imply:
% 236.59/44.54 | | | | | | | | | | | | (14778) ~ (all_10_2 = e0)
% 236.59/44.54 | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | BETA: splitting (61) gives:
% 236.59/44.54 | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | (14779) ~ (all_20_2 = e1)
% 236.59/44.54 | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | REDUCE: (341), (14779) imply:
% 236.59/44.54 | | | | | | | | | | | | | (14780) ~ (all_4_2 = e1)
% 236.59/44.54 | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | BETA: splitting (189) gives:
% 236.59/44.54 | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | Case 1:
% 236.59/44.54 | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | (14781) all_54_15 = e3
% 236.59/44.54 | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | | REF_CLOSE: (299), (14328), (14781) are inconsistent by
% 236.59/44.54 | | | | | | | | | | | | | | sub-proof #2340.
% 236.59/44.54 | | | | | | | | | | | | | |
% 236.59/44.54 | | | | | | | | | | | | | Case 2:
% 236.59/44.54 | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | (14782) ~ (all_54_15 = e3)
% 236.59/44.55 | | | | | | | | | | | | | | (14783) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.59/44.55 | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | BETA: splitting (14783) gives:
% 236.59/44.55 | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | (14784) all_54_15 = e2
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (14784) are inconsistent by
% 236.59/44.55 | | | | | | | | | | | | | | | sub-proof #2339.
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | (14785) ~ (all_54_15 = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | (14786) all_54_15 = e1 | all_54_15 = e0
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | BETA: splitting (14786) gives:
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | (14787) all_54_15 = e1
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (14780), (14787) are inconsistent by
% 236.59/44.55 | | | | | | | | | | | | | | | | sub-proof #2338.
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | (14788) all_54_15 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (14788) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14789) all_4_2 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | SIMP: (14789) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14790) all_4_2 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | REDUCE: (387), (14790) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14791) ~ (all_52_12 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | REDUCE: (389), (14790) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14792) ~ (all_52_14 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | REDUCE: (390), (14790) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14793) ~ (e2 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | REDUCE: (14780), (14790) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | (14794) ~ (e1 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | (14795) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | BETA: splitting (14795) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14796) all_58_6 = e0 & op(e1, e3) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | ALPHA: (14796) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14797) op(e1, e3) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | (14798) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (14798) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14799) all_58_0 = e0 & op(e3, e3) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (14778), (14799), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1736.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14800) all_58_1 = e0 & op(e3, e2) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (14766), (14800), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | (14801) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (14801) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14802) all_58_4 = e0 & op(e3, e1) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (14802) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14803) all_58_4 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14804) op(e3, e1) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (14797) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14805) all_52_2 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (14804) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14806) all_52_8 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (14805) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14807) ~ (all_52_1 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (14806) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14808) ~ (all_52_11 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | SIMP: (14808) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14809) ~ (all_52_11 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | (14810) ~ (all_46_2 = e3)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (14810) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | (14811) $false
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (14811) is inconsistent.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | (14812) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14812) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14813) ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14813) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14814) ~ (all_46_0 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14815) op(e1, e3) = all_46_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14816) op(all_46_1, e1) = all_46_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14311) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14817) ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14817) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14818) ~ (all_6_0 = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14819) op(e1, e3) = all_6_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14820) op(all_6_1, e1) = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14797), (14815) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14821) all_46_1 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14815),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14819) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14822) all_46_1 = all_6_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14821), (14822) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14823) all_6_1 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14816), (14821) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14824) op(e0, e1) = all_46_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14820), (14823) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14825) op(e0, e1) = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e1, e0, simplifying with (157), (14825)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14826) all_52_11 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | all_46_0, e1, e0, simplifying with (157), (14824)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14827) all_52_11 = all_46_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14826), (14827) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14828) all_46_0 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (14828) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14829) all_46_0 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (14826) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14830) all_54_14 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14826) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14831) ~ (all_52_3 = all_6_0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (14826) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14832) ~ (all_52_9 = all_6_0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (14826) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14833) ~ (all_6_0 = e3)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14814), (14829) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14834) ~ (all_6_0 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14835) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (42), (45), (113), (159), (164), (167),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (168), (190), (211), (234), (241), (14313),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14325), (14326), (14776), (14797), (14803),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14804), (14807), (14818), (14825), (14830),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14831), (14833), (14834), (14835),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | #447.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14836) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14836) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14837) all_58_8 = e2 & op(e1, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14837) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14838) op(e1, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (14838), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14839) all_58_14 = e2 & op(e0, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14839) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14840) all_58_14 = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (190), (228), (14324),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14804), (14818), (14830), (14832), (14833),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14834), (14840), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14841) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14797), (14812), (14841), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14842) ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14842) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14843) ~ (all_46_1 = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | (14844) op(e1, e3) = all_46_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14311) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14845) ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14845) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14846) ~ (all_6_0 = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14847) op(e1, e3) = all_6_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14848) op(all_6_1, e1) = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_46_1,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (14797), (14844) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14849) all_46_1 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_6_1,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | all_46_1, e3, e1, simplifying with (14844),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14847) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14850) all_46_1 = all_6_1
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (14849), (14850) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14851) all_6_1 = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14848), (14851) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14852) op(e0, e1) = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e1, e0, simplifying with (157), (14852)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14853) all_52_11 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (14853) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14854) all_54_14 = all_6_0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (14853) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14855) ~ (all_52_3 = all_6_0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (14853) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14856) ~ (all_52_9 = all_6_0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (14853) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14857) ~ (all_6_0 = e3)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14809), (14853) imply:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14858) ~ (all_6_0 = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14859) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (42), (45), (113), (159), (164), (167),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (168), (190), (211), (234), (241), (14313),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14325), (14326), (14776), (14797), (14803),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14804), (14807), (14846), (14852), (14854),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14855), (14857), (14858), (14859),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | #447.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | (14860) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14860) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14861) all_58_8 = e2 & op(e1, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14861) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14862) op(e1, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (14862), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14863) all_58_14 = e2 & op(e0, e1) = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14863) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14864) all_58_14 = e2
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (165), (190), (228), (14324),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14804), (14846), (14854), (14856), (14857),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | (14858), (14864), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #445.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | (14865) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14797), (14812), (14865), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14866) all_58_9 = e0 & op(e3, e0) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (14866) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | (14867) op(e3, e0) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14791), (14867), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14868) all_58_7 = e0 & op(e1, e2) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14767), (14868), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | (14869) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.59/44.55 | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | BETA: splitting (14869) gives:
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14870) all_58_8 = e0 & op(e1, e1) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | ALPHA: (14870) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14871) op(e1, e1) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14318), (14871), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14872) all_58_11 = e0 & op(e1, e0) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | ALPHA: (14872) implies:
% 236.59/44.55 | | | | | | | | | | | | | | | | | | (14873) op(e1, e0) = e0
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14792), (14873), (function-axioms) are
% 236.59/44.55 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 236.59/44.55 | | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | End of split
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | Case 2:
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | (14874) all_20_2 = e1
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | COMBINE_EQS: (341), (14874) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14875) all_4_2 = e1
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | SIMP: (14875) implies:
% 236.59/44.55 | | | | | | | | | | | | | (14876) all_4_2 = e1
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | COMBINE_EQS: (254), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14877) all_56_31 = e1
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (368), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14878) ~ (all_52_3 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (379), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14879) ~ (all_52_7 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (386), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14880) ~ (all_52_11 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (388), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14881) ~ (all_52_13 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (389), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14882) ~ (all_52_14 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | REDUCE: (390), (14876) imply:
% 236.59/44.55 | | | | | | | | | | | | | (14883) ~ (e2 = e1)
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | BETA: splitting (217) gives:
% 236.59/44.55 | | | | | | | | | | | | |
% 236.59/44.55 | | | | | | | | | | | | | Case 1:
% 236.59/44.55 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | (14884) (all_58_12 = e1 & op(e0, e3) = e1) | (all_58_13 =
% 236.59/44.56 | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | BETA: splitting (14884) gives:
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | (14885) all_58_12 = e1 & op(e0, e3) = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | REF_CLOSE: (159), (14878), (14885), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | (14886) all_58_13 = e1 & op(e0, e2) = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | REF_CLOSE: (158), (14879), (14886), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | (14887) (all_58_14 = e1 & op(e0, e1) = e1) | (all_58_15 =
% 236.59/44.56 | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | BETA: splitting (14887) gives:
% 236.59/44.56 | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | (14888) all_58_14 = e1 & op(e0, e1) = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | ALPHA: (14888) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | (14889) op(e0, e1) = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | REF_CLOSE: (157), (14880), (14889), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | (14890) all_58_15 = e1 & op(e0, e0) = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | ALPHA: (14890) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | (14891) all_58_15 = e1
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 236.59/44.56 | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | (14892) ~ (all_24_2 = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | REDUCE: (301), (14892) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | (14893) ~ (all_10_2 = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14894) all_54_0 = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (14894) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14895) all_10_2 = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REDUCE: (355), (14895) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14896) ~ (all_52_1 = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REDUCE: (359), (14895) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14897) ~ (all_52_3 = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REDUCE: (361), (14895) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14898) ~ (all_52_4 = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REDUCE: (365), (14895) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14899) ~ (all_52_12 = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REDUCE: (45), (14895) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14900) op(e3, e3) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | (14901) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | BETA: splitting (14901) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | (14902) all_58_9 = e3 & op(e3, e0) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | ALPHA: (14902) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | (14903) op(e3, e0) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (14899), (14903), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2179.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | (14904) all_58_10 = e3 & op(e2, e0) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | ALPHA: (14904) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | (14905) op(e2, e0) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | (14906) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (170), (14325), (14898), (14906),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | #442.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | (14907) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (14907) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | (14908) all_58_7 = e3 & op(e1, e2) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14908) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | (14909) op(e1, e2) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14315), (14909), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | (14910) all_58_13 = e3 & op(e0, e2) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (14910) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | (14911) op(e0, e2) = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (14912) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14912) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (14913) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14313), (14314), (14896), (14913),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | #441.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (14914) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14914) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14915) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14915) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14916) op(e1, e3) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14917) op(e3, e1) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (67), (100), (113),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (117), (123), (140), (141), (144), (145), (146),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (192), (197), (198), (200), (204), (213), (219),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (221), (231), (232), (233), (234), (238), (257),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (279), (290), (292), (301), (355),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (359), (361), (363), (365), (14311), (14312),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14313), (14315), (14316), (14317), (14318),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14324), (14778), (14877), (14881), (14891),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14916), (14917), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14918) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14313), (14897), (14918),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | #482.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (14919) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14919) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (14920) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14920) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14921) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14921) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14922) ~ (all_56_31 = e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14877), (14922) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14923) $false
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (14923) is inconsistent.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | (14924) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14924) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14925) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14925) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14926) op(e1, e2) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14927) op(e2, e1) = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (14926) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14928) all_52_6 = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_13,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, e2, simplifying with (164), (14905) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14929) all_52_13 = e3
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (14927) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14930) all_52_9 = e1
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (14930) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14931) ~ (all_52_1 = e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (14928) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14932) ~ (all_52_2 = e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (159), (163), (167), (241), (14878), (14900),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14931), (14932), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #440.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14933) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (14933) implies:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | (14934) op(e0, e2) = e2
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14911), (14934), (function-axioms) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (14935) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (14770), (14877), (14882), (14935),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | | #1727.
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | (14936) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.59/44.56 | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (160), (14319), (14891), (14936),
% 236.59/44.56 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.56 | | | | | | | | | | | | | | | | | | #2058.
% 236.59/44.56 | | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | (14937) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (14326), (14778), (14893), (14937) are
% 236.59/44.56 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | End of split
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | Case 2:
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | (14938) all_24_2 = e2
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (14938) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | (14939) all_10_2 = e2
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (14939) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | (14940) all_56_1 = e2
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | REDUCE: (355), (14939) imply:
% 236.59/44.56 | | | | | | | | | | | | | | | | (14941) ~ (all_52_1 = e2)
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.59/44.56 | | | | | | | | | | | | | | | |
% 236.59/44.56 | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.56 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | (14942) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.57 | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.57 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | BETA: splitting (14942) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14943) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | BETA: splitting (14943) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14944) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ALPHA: (14944) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14945) ~ (all_56_1 = e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (14940), (14945) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14946) $false
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | CLOSE: (14946) is inconsistent.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14947) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (14941), (14947),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | #2334.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14948) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | BETA: splitting (14948) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14949) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ALPHA: (14949) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14950) op(e1, e3) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14951) op(e3, e1) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (67), (100), (113),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (117), (123), (140), (141), (144), (145), (146),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (192), (197), (198), (200), (204), (213), (219),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (221), (231), (232), (233), (234), (238), (257),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (269), (270), (279), (290), (292), (301), (355),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (359), (361), (363), (365), (14311), (14312),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14313), (14315), (14316), (14317), (14318),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14324), (14778), (14877), (14881), (14891),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14950), (14951), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14952) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14313), (14765), (14952) are inconsistent by
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | sub-proof #439.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | (14953) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.57 | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.59/44.57 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.59/44.57 | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | BETA: splitting (14953) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14954) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | BETA: splitting (14954) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14955) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ALPHA: (14955) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14956) ~ (all_56_31 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (14877), (14956) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14957) $false
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | CLOSE: (14957) is inconsistent.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14958) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14765), (14940), (14958) are inconsistent by
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | sub-proof #438.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14959) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.57 | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (14770), (14877), (14882), (14959),
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.57 | | | | | | | | | | | | | | | | | | #1727.
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | (14960) all_16_2 = e0
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | COMBINE_EQS: (342), (14960) imply:
% 236.59/44.57 | | | | | | | | | | | | (14961) all_10_2 = e0
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | SIMP: (14961) implies:
% 236.59/44.57 | | | | | | | | | | | | (14962) all_10_2 = e0
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | REDUCE: (355), (14962) imply:
% 236.59/44.57 | | | | | | | | | | | | (14963) ~ (all_52_1 = e0)
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | REDUCE: (357), (14962) imply:
% 236.59/44.57 | | | | | | | | | | | | (14964) ~ (all_52_2 = e0)
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | REDUCE: (363), (14962) imply:
% 236.59/44.57 | | | | | | | | | | | | (14965) ~ (all_52_8 = e0)
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | REDUCE: (14326), (14962) imply:
% 236.59/44.57 | | | | | | | | | | | | (14966) ~ (e1 = e0)
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | REDUCE: (45), (14962) imply:
% 236.59/44.57 | | | | | | | | | | | | (14967) op(e3, e3) = e0
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.59/44.57 | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | (14968) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.59/44.57 | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | BETA: splitting (14968) gives:
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | (14969) all_58_4 = e0 & op(e3, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | REF_CLOSE: (169), (14965), (14969), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | (14970) all_58_5 = e0 & op(e2, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | REF_CLOSE: (165), (14769), (14970), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | (14971) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.59/44.57 | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | BETA: splitting (14971) gives:
% 236.59/44.57 | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | (14972) all_58_8 = e0 & op(e1, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | ALPHA: (14972) implies:
% 236.59/44.57 | | | | | | | | | | | | | | (14973) op(e1, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.59/44.57 | | | | | | | | | | | | | | (14318), (14973), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | (14974) all_58_14 = e0 & op(e0, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | ALPHA: (14974) implies:
% 236.59/44.57 | | | | | | | | | | | | | | (14975) all_58_14 = e0
% 236.59/44.57 | | | | | | | | | | | | | | (14976) op(e0, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.59/44.57 | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | (14977) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (14767), (14964), (14977),
% 236.59/44.57 | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.57 | | | | | | | | | | | | | | | #2021.
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | (14978) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.59/44.57 | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | BETA: splitting (14978) gives:
% 236.59/44.57 | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | (14979) all_58_8 = e0 & op(e1, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | ALPHA: (14979) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14980) op(e1, e1) = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 236.59/44.57 | | | | | | | | | | | | | | | | (230), (14317), (14975), (14976), (14980),
% 236.59/44.57 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.57 | | | | | | | | | | | | | | | | #437.
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | (14981) all_58_11 = e0 & op(e1, e0) = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | ALPHA: (14981) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14982) all_58_11 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | | (14983) op(e1, e0) = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.59/44.57 | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (14976) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14984) all_52_11 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.59/44.57 | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (14983) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14985) all_52_14 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | REDUCE: (139), (14984) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14986) ~ (all_52_3 = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | REDUCE: (112), (14985) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14987) ~ (all_52_12 = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | REDUCE: (389), (14985) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14988) ~ (all_4_2 = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | SIMP: (14988) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | (14989) ~ (all_4_2 = e0)
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | (14990) all_54_15 = e3
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (14328), (14990) are inconsistent by
% 236.59/44.57 | | | | | | | | | | | | | | | | | sub-proof #2340.
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | (14991) ~ (all_54_15 = e3)
% 236.59/44.57 | | | | | | | | | | | | | | | | | (14992) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | BETA: splitting (14992) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14993) all_54_15 = e2
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (14993) are inconsistent by
% 236.59/44.57 | | | | | | | | | | | | | | | | | | sub-proof #2339.
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | (14994) all_54_15 = e1 | all_54_15 = e0
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | BETA: splitting (14994) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14995) all_54_15 = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (14995) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14996) all_4_2 = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | SIMP: (14996) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14997) all_4_2 = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14998) all_56_31 = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (368), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (14999) ~ (all_52_3 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (379), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (15000) ~ (all_52_7 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (387), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (15001) ~ (all_52_12 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (388), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (15002) ~ (all_52_13 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | REDUCE: (14328), (14997) imply:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | (15003) ~ (e3 = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | (15004) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15004) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15005) all_58_9 = e1 & op(e3, e0) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15001), (15005), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15006) all_58_10 = e1 & op(e2, e0) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15002), (15006), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | (15007) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15007) gives:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15008) all_58_11 = e1 & op(e1, e0) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15008) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15009) op(e1, e0) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14983), (15009), (function-axioms) are
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2284.
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15010) all_58_15 = e1 & op(e0, e0) = e1
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15010) implies:
% 236.59/44.57 | | | | | | | | | | | | | | | | | | | | | (15011) all_58_15 = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | (15012) op(e0, e0) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | (15013) all_54_9 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (14315), (15013) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | (15014) ~ (all_54_9 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | (15015) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | (15016) all_54_8 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14314), (15016) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | (15017) ~ (all_54_8 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | (15018) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | (15019) all_54_2 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (14316), (15019) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | (15020) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15021) all_54_7 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15021) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15022) all_52_13 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15022) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15023) all_52_13 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15023) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15024) ~ (all_52_1 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15023) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15025) ~ (all_52_12 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (15023) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15026) op(e2, e0) = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15027) all_54_3 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (15027) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15028) all_52_12 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15025), (15028) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15029) $false
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15029) is inconsistent.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15030) ~ (all_54_3 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15031) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15031) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15032) all_54_3 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (15032) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15033) all_52_12 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (15033) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15034) ~ (all_52_8 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15025), (15033) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15035) ~ (e3 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (15033) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15036) op(e3, e0) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15037) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15037) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15038) all_58_4 = e2 & op(e3, e1) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15038) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15039) all_58_4 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15020) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15040) all_54_2 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (15034), (15040) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1986.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15041) all_54_2 = e1 | all_54_2 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (134), (168), (170), (242), (281),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14965), (14967), (15001), (15039), (15041),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1526.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15042) all_58_5 = e2 & op(e2, e1) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15042) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15043) all_58_5 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15044) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15044) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15045) all_58_2 = e1 & op(e2, e3) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15045) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15046) op(e2, e3) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15047) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15047) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15048) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (163), (167), (14314), (15024), (15046),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15048), (function-axioms) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #436.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15049) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (159), (14313), (14986), (15036), (15049),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #461.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15050) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15050) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15051) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15051) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15052) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15052) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15053) ~ (all_56_31 = e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14998), (15053) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15054) $false
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15054) is inconsistent.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15055) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15055) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15056) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15056) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15057) op(e2, e1) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (165), (281), (14965), (15020), (15034),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15057), (function-axioms) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #434.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15058) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15058) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15059) op(e2, e0) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15026), (15059), (function-axioms) are
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15060) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (164), (14770), (14983), (14998), (15060),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1613.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15061) all_58_3 = e1 & op(e2, e2) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14775), (15061) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15062) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15062) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15063) all_58_5 = e1 & op(e2, e1) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15043), (15063) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1548.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15064) all_58_10 = e1 & op(e2, e0) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15064) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15065) all_58_10 = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (222), (14982), (15011), (15036),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15065), (function-axioms) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1599.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15066) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14324), (14976), (15066),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #433.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15067) all_54_3 = e1 | all_54_3 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (14987), (15001), (15067) are inconsistent
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2287.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15068) ~ (all_54_7 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15069) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (269), (15068) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | (15070) ~ (all_52_13 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (15071) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15071) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15072) all_58_9 = e3 & op(e3, e0) = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15072) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15073) all_58_9 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15069) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15074) all_54_7 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (15074) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15075) all_52_13 = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15075) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15076) ~ (all_52_1 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (15075) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15077) ~ (all_52_9 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (15075) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15078) ~ (all_52_12 = e2)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (164), (15075) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15079) op(e2, e0) = e2
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15080) all_54_3 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (15080) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15081) all_52_12 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (15081) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15082) ~ (all_52_4 = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (15081) imply:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15083) op(e3, e0) = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15084) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15084) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15085) all_58_2 = e3 & op(e2, e3) = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15085) implies:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15086) all_58_2 = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15087) op(e2, e3) = e3
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15088) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15088) gives:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089) all_58_2 = e1 & op(e2, e3) = e1
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (15011),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15012), (15070), (15073), (15079), (15086),
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15089), (function-axioms) are inconsistent by
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #432.
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15090) all_58_3 = e1 & op(e2, e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14775), (15090) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15091) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15091) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15092) all_58_5 = e1 & op(e2, e1) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15092) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15093) all_58_5 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15094) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15094) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15095) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (170), (14314), (15082), (15087),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15095), (function-axioms) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1429.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15096) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15096) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15097) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15097) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15098) op(e1, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15099) op(e3, e1) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (146), (149), (163), (169), (198), (200),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (270), (279), (14769), (14963), (15076), (15077),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15098), (15099), (function-axioms) are
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1789.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15100) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14765), (14986), (15100),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1617.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15101) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15101) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15102) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15102) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15103) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15103) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15104) op(e2, e1) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15077), (15104), (function-axioms) are
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15105) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15105) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15106) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15106) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15107) ~ (all_56_31 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15108) ~ (all_56_21 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15109) ~ (all_56_11 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15110) op(e1, e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15111) op(e2, e1) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14765), (15109) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15112) ~ (e2 = e0)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14998), (15107) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15113) ~ (e2 = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15114) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15114) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15115) all_58_4 = e2 & op(e3, e1) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15115) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15116) all_58_4 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15117) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15117) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15118) all_58_0 = e1 & op(e3, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15118) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15119) op(e3, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14967), (15119), (function-axioms) are
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1828.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15120) all_58_2 = e1 & op(e2, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (15011),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15012), (15070), (15073), (15079), (15086),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15120), (function-axioms) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #432.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15121) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15121) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15122) all_58_6 = e1 & op(e1, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15122) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15123) op(e1, e3) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15124) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15124) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15125) all_58_6 = e2 & op(e1, e3) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15125) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15126) op(e1, e3) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15123), (15126), (function-axioms) are
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15127) all_58_7 = e2 & op(e1, e2) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15127) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15128) all_58_7 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15129) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (170), (14325), (15082), (15129),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #442.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15130) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15130) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15131) all_58_7 = e3 & op(e1, e2) = e3
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15131) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15132) op(e1, e2) = e3
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15110), (15132), (function-axioms) are
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2094.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15133) all_58_13 = e3 & op(e0, e2) = e3
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15133) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15134) op(e0, e2) = e3
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15135) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15135) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15136) all_58_1 = e1 & op(e3, e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15136) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15137) all_58_1 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15015) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15138) all_54_9 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (267), (15138) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15139) all_52_6 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (15139) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15140) ~ (all_52_2 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14315), (15139) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15141) ~ (e3 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (15139) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15142) op(e1, e2) = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15018) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15143) all_54_8 = e2
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15140), (15143) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15144) ~ (all_54_8 = e2)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15145) all_54_8 = e1 | all_54_8 = e0
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15145) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15146) all_54_8 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (15146) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15147) all_52_2 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15147) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15148) all_52_2 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (15110), (15142) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15149) e2 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15116), (15149) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15150) all_58_4 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (15082), (15083), (15137), (15150),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15151) all_54_8 = e0
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14964), (15151) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2006.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15152) all_54_9 = e1 | all_54_9 = e0
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (143), (163), (267), (14767), (15123), (15152),
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1931.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15153) all_58_3 = e1 & op(e2, e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (14775), (15153) are inconsistent by
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1591.
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15154) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15154) gives:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15155) all_58_7 = e1 & op(e1, e2) = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15155) implies:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15156) all_58_7 = e1
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15128), (15156) imply:
% 236.59/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15157) e2 = e1
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15157) implies:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15158) e2 = e1
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15116), (15158) imply:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15159) all_58_4 = e1
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15160) all_58_15 = e0 & op(e0, e0) = e0
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15160) implies:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15161) op(e0, e0) = e0
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15012), (15161), (function-axioms) are
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15162) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15162) implies:
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15163) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.72/44.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (159), (165), (229), (14324),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14986), (15077), (15134), (15159), (15163),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #431.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15164) all_58_13 = e1 & op(e0, e2) = e1
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15000), (15164), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15165) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15165) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15166) all_58_8 = e2 & op(e1, e1) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15166) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15167) op(e1, e1) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (227), (230),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15093), (15111), (15116), (15167),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2161.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15168) all_58_11 = e2 & op(e1, e0) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15168) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15169) op(e1, e0) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (14983), (15169), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15170) all_58_12 = e1 & op(e0, e3) = e1
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (14999), (15170), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2276.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15171) all_58_5 = e2 & op(e2, e1) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15171) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15172) op(e2, e1) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15077), (15172), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2328.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15173) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (14324), (14976), (15173),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #433.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15174) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15174) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15175) ~ (all_56_11 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14765), (15175) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15176) $false
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15176) is inconsistent.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15177) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (14983), (14998), (15079), (15177),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1596.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15178) all_58_10 = e1 & op(e2, e0) = e1
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15178) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15179) all_58_10 = e1
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (14982),
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15011), (15179), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15180) all_58_3 = e3 & op(e2, e2) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (14325), (15180), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #450.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15181) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15181) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15182) all_58_5 = e3 & op(e2, e1) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (14317), (15182), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1822.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15183) all_58_10 = e3 & op(e2, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15183) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15184) op(e2, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (15079), (15184), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2152.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15185) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (14987), (15001), (15078), (15185) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15186) all_54_7 = e1 | all_54_7 = e0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (14770), (15002), (15186) are inconsistent
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2293.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15187) all_58_10 = e3 & op(e2, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15187) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15188) op(e2, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15070), (15188), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (15189) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15189) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15190) all_58_11 = e3 & op(e1, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15190) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15191) op(e1, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (14319), (15191), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2149.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15192) all_58_15 = e3 & op(e0, e0) = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15011), (15192) are inconsistent by
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1915.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | (15193) all_54_15 = e0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (14989), (15193) are inconsistent by
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | sub-proof #1737.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | (15194) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.72/44.60 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | REF_CLOSE: (158), (162), (14767), (14768), (15194),
% 236.72/44.60 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | | #1990.
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | End of split
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | End of split
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | (15195) all_12_2 = e3
% 236.72/44.60 | | | | | | | | (15196) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 236.72/44.60 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 236.72/44.60 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3) =
% 236.72/44.60 | | | | | | | | all_12_1 & $i(all_12_1))
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | COMBINE_EQS: (346), (15195) imply:
% 236.72/44.60 | | | | | | | | (15197) all_4_2 = e3
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | COMBINE_EQS: (334), (15197) imply:
% 236.72/44.60 | | | | | | | | (15198) all_26_2 = e3
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | COMBINE_EQS: (254), (15197) imply:
% 236.72/44.60 | | | | | | | | (15199) all_56_31 = e3
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | REDUCE: (379), (15197) imply:
% 236.72/44.60 | | | | | | | | (15200) ~ (all_52_7 = e3)
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | REDUCE: (387), (15197) imply:
% 236.72/44.60 | | | | | | | | (15201) ~ (all_52_12 = e3)
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | REDUCE: (388), (15197) imply:
% 236.72/44.60 | | | | | | | | (15202) ~ (all_52_13 = e3)
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | BETA: splitting (222) gives:
% 236.72/44.60 | | | | | | | |
% 236.72/44.60 | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | | (15203) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3
% 236.72/44.60 | | | | | | | | | & op(e2, e0) = e3)
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | | REF_CLOSE: (164), (168), (15201), (15202), (15203),
% 236.72/44.60 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.60 | | | | | | | | | #1592.
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | | (15204) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.72/44.60 | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | | BETA: splitting (15204) gives:
% 236.72/44.60 | | | | | | | | |
% 236.72/44.60 | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | (15205) all_58_11 = e3 & op(e1, e0) = e3
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | ALPHA: (15205) implies:
% 236.72/44.60 | | | | | | | | | | (15206) op(e1, e0) = e3
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | REF_CLOSE: (160), (14319), (15206), (function-axioms) are
% 236.72/44.60 | | | | | | | | | | inconsistent by sub-proof #2149.
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | (15207) all_58_15 = e3 & op(e0, e0) = e3
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | ALPHA: (15207) implies:
% 236.72/44.60 | | | | | | | | | | (15208) all_58_15 = e3
% 236.72/44.60 | | | | | | | | | | (15209) op(e0, e0) = e3
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | BETA: splitting (234) gives:
% 236.72/44.60 | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | (15210) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 236.72/44.60 | | | | | | | | | | | & op(e2, e2) = e3)
% 236.72/44.60 | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | BETA: splitting (15210) gives:
% 236.72/44.60 | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | (15211) all_58_2 = e3 & op(e2, e3) = e3
% 236.72/44.60 | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | ALPHA: (15211) implies:
% 236.72/44.60 | | | | | | | | | | | | (15212) all_58_2 = e3
% 236.72/44.60 | | | | | | | | | | | | (15213) op(e2, e3) = e3
% 236.72/44.60 | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.72/44.60 | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | (15214) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.72/44.60 | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.72/44.60 | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | BETA: splitting (15214) gives:
% 236.72/44.60 | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | (15215) all_58_1 = e3 & op(e3, e2) = e3
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | ALPHA: (15215) implies:
% 236.72/44.60 | | | | | | | | | | | | | | (15216) all_58_1 = e3
% 236.72/44.60 | | | | | | | | | | | | | | (15217) op(e3, e2) = e3
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 236.72/44.60 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (15213) gives:
% 236.72/44.60 | | | | | | | | | | | | | | (15218) all_52_1 = e3
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 236.72/44.60 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (15217) gives:
% 236.72/44.60 | | | | | | | | | | | | | | (15219) all_52_4 = e3
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (149), (15218) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15220) ~ (all_52_2 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (148), (15218) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15221) ~ (all_52_3 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | SIMP: (15221) implies:
% 236.72/44.60 | | | | | | | | | | | | | | (15222) ~ (all_52_3 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (146), (15218) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15223) ~ (all_52_9 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (145), (15218) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15224) ~ (all_52_13 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (136), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15225) ~ (all_52_6 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (135), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15226) ~ (all_52_7 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (134), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15227) ~ (all_52_8 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (133), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15228) ~ (all_52_12 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (361), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15229) ~ (all_10_2 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | SIMP: (15229) implies:
% 236.72/44.60 | | | | | | | | | | | | | | (15230) ~ (all_10_2 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | REDUCE: (369), (15219) imply:
% 236.72/44.60 | | | | | | | | | | | | | | (15231) ~ (all_8_2 = e3)
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 236.72/44.60 | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | (15232) ~ (all_14_2 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | REDUCE: (344), (15232) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | (15233) ~ (all_8_2 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 236.72/44.60 | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | (15234) ~ (all_16_2 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | REDUCE: (342), (15234) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | (15235) ~ (all_10_2 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | (15236) all_54_0 = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (15236) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | (15237) all_10_2 = e3
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | REDUCE: (15230), (15237) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | (15238) $false
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | CLOSE: (15238) is inconsistent.
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | (15239) ~ (all_54_0 = e3)
% 236.72/44.60 | | | | | | | | | | | | | | | | | (15240) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | BETA: splitting (15240) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15241) all_54_0 = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (15241) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15242) all_10_2 = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15243) all_24_2 = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15244) all_32_2 = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15245) all_56_1 = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | REDUCE: (359), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15246) ~ (all_52_3 = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | REDUCE: (365), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15247) ~ (all_52_12 = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | REDUCE: (15230), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15248) ~ (e3 = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | REDUCE: (45), (15242) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | (15249) op(e3, e3) = e2
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | (15250) ~ (all_24_2 = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | REDUCE: (15243), (15250) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | (15251) $false
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | CLOSE: (15251) is inconsistent.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | (15252) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (15252) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | (15253) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | ALPHA: (15253) implies:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | (15254) ~ (all_24_0 = e0)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | (15255) op(e3, e2) = all_24_1
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | (15256) op(all_24_1, e3) = all_24_0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | (15257) ~ (all_32_2 = e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15244), (15257) imply:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | (15258) $false
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15258) is inconsistent.
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | (15259) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 236.72/44.60 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15255) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15260) all_24_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15256), (15260) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15261) op(e3, e3) = all_24_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15259) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15262) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15262) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15263) ~ (all_32_0 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15264) op(e3, e2) = all_32_1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15265) op(all_32_1, e3) = all_32_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15264) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15266) all_32_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_24_0,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15249), (15261) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15267) all_24_0 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15265), (15266) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15268) op(e3, e3) = all_32_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_32_0,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15249), (15268) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15269) all_32_0 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15270) ~ (all_22_2 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (15270) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15271) ~ (all_8_2 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (118), (125), (157), (158), (159), (160), (163),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (199), (213), (218), (221),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (275), (353), (373), (377), (14314), (14319),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (14325), (15199), (15209), (15217), (15222),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15233), (15246), (15247), (15271),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | #429.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15272) all_22_2 = e1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15273) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (70), (76), (100),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (110), (158), (159), (160), (162), (163), (164),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (210), (213), (216), (217),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (218), (220), (221), (222), (223), (224), (225),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (226), (227), (228), (229), (231), (233), (235),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (245), (246), (326),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (347), (353), (373), (375), (377), (14312),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (14315), (14316), (14319), (14323), (14324),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (14325), (15196), (15198), (15199), (15201),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15202), (15208), (15209), (15212), (15213),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15216), (15217), (15222), (15233), (15245),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (15246), (15247), (15249), (15272), (15273),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | | #411.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15274) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15274) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15275) ~ (all_32_1 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15276) op(e3, e2) = all_32_1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15276) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15277) all_32_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_24_0,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15249), (15261) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15278) all_24_0 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (64), (70), (76), (100),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (110), (118), (125), (157), (158), (159), (160),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (168), (169), (199),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (210), (213), (216), (217), (218), (220), (221),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (239), (240), (241),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (242), (245), (246), (275), (326), (347), (353),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (373), (375), (377), (14312), (14314), (14315),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (14316), (14319), (14323), (14324), (14325),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15196), (15198), (15199), (15201), (15202),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15233), (15245), (15246),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15247), (15249), (function-axioms) are
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | (15279) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | ALPHA: (15279) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | (15280) op(e3, e2) = all_24_1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15281) ~ (all_32_2 = e2)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15244), (15281) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15282) $false
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15282) is inconsistent.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15283) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15280) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | (15284) all_24_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15283) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15285) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15285) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15286) ~ (all_32_0 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15287) op(e3, e2) = all_32_1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15288) op(all_32_1, e3) = all_32_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15287) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15289) all_32_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15288), (15289) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15290) op(e3, e3) = all_32_0
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_32_0,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15249), (15290) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15291) all_32_0 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (64), (70), (76), (100),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (110), (118), (125), (157), (158), (159), (160),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (168), (169), (199),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (210), (213), (216), (217), (218), (220), (221),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (239), (240), (241),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (242), (245), (246), (275), (326), (347), (353),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (373), (375), (377), (14312), (14314), (14315),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (14316), (14319), (14323), (14324), (14325),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15196), (15198), (15199), (15201), (15202),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15233), (15245), (15246),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15247), (15249), (function-axioms) are
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15292) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15292) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15293) ~ (all_32_1 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15294) op(e3, e2) = all_32_1
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15294) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15295) all_32_1 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (42), (64), (70), (76), (100),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (110), (118), (125), (157), (158), (159), (160),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (165), (168), (169), (199),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (210), (213), (216), (217), (218), (220), (221),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (229), (231), (233), (235), (239), (240), (241),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (242), (245), (246), (275), (326), (347), (353),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (373), (375), (377), (14312), (14314), (14315),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (14316), (14319), (14323), (14324), (14325),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15196), (15198), (15199), (15201), (15202),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15233), (15245), (15246),
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | (15247), (15249), (function-axioms) are
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #410.
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15296) all_54_0 = e1 | all_54_0 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (14326), (15235), (15296) are inconsistent
% 236.72/44.61 | | | | | | | | | | | | | | | | | | by sub-proof #2320.
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | End of split
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | (15297) all_16_2 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | | (15298) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 236.72/44.61 | | | | | | | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 236.72/44.61 | | | | | | | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 236.72/44.61 | | | | | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (15297) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15299) all_10_2 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | SIMP: (15299) implies:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15300) all_10_2 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15301) all_50_2 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15302) all_56_1 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (357), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15303) ~ (all_52_2 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (359), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15304) ~ (all_52_3 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (363), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15305) ~ (all_52_8 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (365), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15306) ~ (all_52_12 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (15230), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15307) ~ (e3 = e0)
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | REDUCE: (45), (15300) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | (15308) op(e3, e3) = e0
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | (15309) ~ (all_22_2 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | REDUCE: (326), (15309) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | (15310) ~ (all_8_2 = e1)
% 236.72/44.61 | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15311) all_54_5 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (15311) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15312) all_8_2 = e3
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | REDUCE: (14325), (15312) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15313) $false
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | CLOSE: (15313) is inconsistent.
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15314) ~ (all_54_5 = e3)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | (15315) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | BETA: splitting (15315) gives:
% 236.72/44.61 | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15316) all_54_5 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (15316) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15317) all_8_2 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (15317) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15318) all_56_11 = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | REDUCE: (373), (15317) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15319) ~ (all_52_7 = e2)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | REDUCE: (375), (15317) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15320) ~ (all_52_9 = e2)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | REDUCE: (14325), (15317) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15321) ~ (e3 = e2)
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | REDUCE: (42), (15317) imply:
% 236.72/44.61 | | | | | | | | | | | | | | | | | | | (15322) op(e2, e2) = e2
% 236.72/44.61 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (15323) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15323) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15324) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (14314), (15217), (15318), (15324),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | #430.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15325) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15199), (15222), (15304), (15325),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | #1368.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (15326) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15326) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15327) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (15318), (15319), (15320), (15327),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | #2325.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15328) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15328) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15329) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15329) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15330) ~ (all_56_11 = e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15318), (15330) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15331) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15331) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15332) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15332) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15333) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15333) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15334) ~ (all_56_1 = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15302), (15334) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15335) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15335) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15336) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15336) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15337) op(e0, e1) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15338) op(e1, e0) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (15337) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15339) all_52_11 = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (15338) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15340) all_52_14 = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (15340) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15341) ~ (all_52_6 = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (15339) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15342) ~ (all_52_7 = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (7), (158), (162), (235), (15217), (15322),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15341), (15342), (function-axioms) are
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #408.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | (15343) all_54_5 = e1 | all_54_5 = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (15233), (15310), (15343) are inconsistent
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | by sub-proof #2300.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | End of split
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15344) all_22_2 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15345) ( ~ (all_22_0 = e3) & op(all_22_1, e2) = all_22_0
% 236.72/44.62 | | | | | | | | | | | | | | | | | & op(e2, e1) = all_22_1 & $i(all_22_0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | $i(all_22_1)) | ( ~ (all_22_1 = e0) & op(e2, e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | = all_22_1 & $i(all_22_1))
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (15344) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15346) all_8_2 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15347) all_30_2 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | REDUCE: (371), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15348) ~ (all_52_6 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | REDUCE: (375), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15349) ~ (all_52_9 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | REDUCE: (377), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15350) ~ (all_52_13 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | REDUCE: (14325), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15351) ~ (e3 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | REDUCE: (42), (15346) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | (15352) op(e2, e2) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | (15353) ~ (all_26_2 = e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | REDUCE: (15198), (15353) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | (15354) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | CLOSE: (15354) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | (15355) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | (15356) ~ (all_30_2 = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | REDUCE: (15347), (15356) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | (15357) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | CLOSE: (15357) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | (15358) ( ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = all_30_1 & $i(all_30_0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | $i(all_30_1)) | ( ~ (all_30_1 = e3) & op(e2, e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | = all_30_1 & $i(all_30_1))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (15359) ~ (all_46_2 = e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (15359) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (15360) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | CLOSE: (15360) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | (15361) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15362) ~ (all_50_2 = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15301), (15362) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15363) $false
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15363) is inconsistent.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | (15364) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15365) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (15201), (15213), (15302), (15365),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | #1511.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | (15366) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15366) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15367) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15367) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15368) op(e1, e3) = all_56_5
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15369) op(e1, all_56_5) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (15368)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15370) all_56_5 = all_52_2
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15369), (15370) imply:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | (15371) op(e1, all_52_2) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | (15372) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15372) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | (15373) all_58_9 = e1 & op(e3, e0) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15373) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | (15374) all_58_9 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | (15375) op(e3, e0) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (15376) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15217), (15308), (15376),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | (15377) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15377) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15378) all_58_4 = e2 & op(e3, e1) = e2
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15378) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15379) all_58_4 = e2
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15380) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (165), (15349), (15379), (15380),
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #407.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15381) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15381) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15382) all_58_8 = e1 & op(e1, e1) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (15382) are inconsistent by
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #406.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15383) all_58_14 = e1 & op(e0, e1) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15383) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15384) op(e0, e1) = e1
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15385) all_58_15 = e0 & op(e0, e0) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15385) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15386) op(e0, e0) = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15209), (15386), (function-axioms) are
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15387) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15387) implies:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15388) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15389) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15389) gives:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15390) all_58_4 = e0 & op(e3, e1) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15305), (15390), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15391) all_58_5 = e0 & op(e2, e1) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15391) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15392) op(e2, e1) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15393) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15213), (15352), (15393),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #428.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15394) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15394) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15395) all_58_5 = e2 & op(e2, e1) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15395) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15396) op(e2, e1) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15392), (15396), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15397) all_58_10 = e2 & op(e2, e0) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15397) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15398) op(e2, e0) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15388) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15399) all_58_9 = e0 & op(e3, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15399) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15400) op(e3, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15306), (15400), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2258.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15401) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15401) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15402) all_58_10 = e0 & op(e2, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15402) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15403) op(e2, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15398), (15403), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2121.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15404) all_58_11 = e0 & op(e1, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15404) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15405) op(e1, e0) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15406) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (169), (14316), (15298), (15345), (15352),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15358), (15364), (15375), (15392), (15398),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15406), (function-axioms) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #404.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15407) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15407) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15408) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15298), (15364), (15375), (15405), (15408),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #402.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15409) all_56_30 = e0 & op(e0, all_56_31) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15409) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15410) op(e0, all_56_31) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15199), (15410) imply:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15411) op(e0, e3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15304), (15411), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15412) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (9), (157), (165), (230), (14317),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (15379), (15384), (15412),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #401.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15413) all_58_9 = e2 & op(e3, e0) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15374), (15413) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1745.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15414) all_58_10 = e1 & op(e2, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15350), (15414), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | (15415) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15415) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15416) all_58_11 = e1 & op(e1, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15416) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15417) op(e1, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (15418) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15418) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15419) all_58_6 = e0 & op(e1, e3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15419) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15420) op(e1, e3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15303), (15420), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15421) all_58_7 = e0 & op(e1, e2) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15421) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15422) all_58_7 = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15423) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15423) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15424) all_58_6 = e2 & op(e1, e3) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15424) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15425) all_58_6 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15426) op(e1, e3) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (157), (162),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (223), (230), (235), (237),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (15217), (15233),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15348), (15352), (15371), (15417), (15425),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15426), (function-axioms) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #399.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15427) all_58_7 = e2 & op(e1, e2) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15427) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15428) all_58_7 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15422), (15428) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1587.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15429) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (15417), (15429),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (15430) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (157), (165), (169), (230), (14316),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (15417), (15430),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | #400.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15431) all_58_15 = e1 & op(e0, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15208), (15431) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | (15432) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15432) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | (15433) op(e0, e3) = all_56_7
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | (15434) op(e0, all_56_7) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (15433)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | (15435) all_56_7 = all_52_3
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15434), (15435) imply:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | (15436) op(e0, all_52_3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | (15437) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15217), (15308), (15437),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | #1571.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | (15438) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15438) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15439) all_58_4 = e1 & op(e3, e1) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15439) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15440) all_58_4 = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | (15441) op(e3, e1) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (15442) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15217), (15308), (15442),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | #1857.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (15443) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15443) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15444) all_58_4 = e2 & op(e3, e1) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15444) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15445) all_58_4 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15440), (15445) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15446) all_58_9 = e2 & op(e3, e0) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15446) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15447) op(e3, e0) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15448) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15448) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15449) all_58_9 = e1 & op(e3, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15449) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15450) all_58_9 = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15451) op(e3, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (165),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (210), (216), (227), (228), (230),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (244), (14316), (14317), (14318), (14323),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15199), (15208), (15209), (15213), (15217),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15298), (15305), (15306), (15308), (15345),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15349), (15352), (15358), (15364), (15436),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15450), (15451), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #397.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15452) all_58_10 = e1 & op(e2, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (15350), (15452), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15453) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15453) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15454) all_58_11 = e1 & op(e1, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15454) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15455) op(e1, e0) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15456) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15456) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15457) all_58_6 = e0 & op(e1, e3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15457) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15458) op(e1, e3) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15303), (15458), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15459) all_58_7 = e0 & op(e1, e2) = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15459) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15460) all_58_7 = e0
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15461) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15461) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15462) all_58_6 = e2 & op(e1, e3) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15462) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15463) all_58_6 = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15464) op(e1, e3) = e2
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15465) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15465) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15466) all_58_0 = e1 & op(e3, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15466) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15467) op(e3, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (159), (162), (165), (169),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (230), (239), (14315), (14316), (14317),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (15209), (15212), (15436), (15455),
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15463), (15467), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #396.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15468) all_58_2 = e1 & op(e2, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15212), (15468) are inconsistent by
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1765.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15469) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15469) gives:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15470) all_58_6 = e1 & op(e1, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15470) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15471) op(e1, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15464), (15471), (function-axioms) are
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15472) all_58_12 = e1 & op(e0, e3) = e1
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15472) implies:
% 236.72/44.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15473) all_58_12 = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15474) op(e0, e3) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15475) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15217), (15352), (15475),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1785.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15476) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15476) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15477) all_58_7 = e2 & op(e1, e2) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15477) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15478) all_58_7 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15460), (15478) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1587.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15479) all_58_13 = e2 & op(e0, e2) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15479) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15480) op(e0, e2) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15481) all_58_15 = e0 & op(e0, e0) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15481) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15482) op(e0, e0) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15209), (15482), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15483) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15483) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15484) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15484) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15485) all_58_12 = e0 & op(e0, e3) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15485) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15486) op(e0, e3) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15196), (15355), (15474), (15486),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1384.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15487) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15487) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15488) all_58_13 = e0 & op(e0, e2) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15488) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15489) op(e0, e2) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15480), (15489), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15490) all_58_14 = e0 & op(e0, e1) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15490) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15491) op(e0, e1) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15492) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15492) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15493) all_58_4 = e2 & op(e3, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15493) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15494) all_58_4 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15440), (15494) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1786.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15495) all_58_5 = e2 & op(e2, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15495) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15496) op(e2, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15497) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15497) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15498) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14316), (15361), (15441), (15464),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15498), (function-axioms) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #394.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15499) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15499) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500) op(e2, e1) = all_56_19
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15501) op(e2, all_56_19) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15358) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15502) ~ (all_30_0 = e0) & op(all_30_1, e2) = all_30_0 &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_30_1 & $i(all_30_0) &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15502) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15503) op(e2, e1) = all_30_1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15345), (15352), (15364), (15447), (15496),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500), (15501), (15503), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #392.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15504) ~ (all_30_1 = e3) & op(e2, e1) = all_30_1 &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_30_1)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15504) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15505) op(e2, e1) = all_30_1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15345), (15352), (15364), (15447), (15496),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15500), (15501), (15505), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #392.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15506) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15506) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15507) all_56_20 = e1 & op(e1, all_56_21) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15507) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15508) op(e1, all_56_21) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (15508) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15509) op(e1, e3) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15464), (15509), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15510) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15510) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15511) op(e0, e1) = all_56_23
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15512) op(e0, all_56_23) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15209), (15491), (15511), (15512),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1395.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15513) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15513) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15514) all_58_8 = e2 & op(e1, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15514) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15515) op(e1, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (223), (226), (15455),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15463), (15515), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1835.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15516) all_58_14 = e2 & op(e0, e1) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15516) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15517) all_58_14 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (158), (216), (219),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15473), (15480), (15517),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1536.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15518) all_58_7 = e2 & op(e1, e2) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15518) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15519) all_58_7 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15460), (15519) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1587.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15520) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (15455), (15520),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15521) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (157), (165), (169), (230), (14316),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (15455), (15521),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #400.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15522) all_58_15 = e1 & op(e0, e0) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15208), (15522) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15523) all_58_9 = e1 & op(e3, e0) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15523) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15524) all_58_9 = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15525) op(e3, e0) = e1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (159), (165),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (210), (216), (227), (228), (230),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (233), (244), (14316), (14317), (14318), (14323),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15199), (15208), (15209), (15213), (15217),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15298), (15305), (15306), (15308), (15345),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15349), (15352), (15358), (15364), (15436),
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | (15524), (15525), (function-axioms) are
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #397.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | End of split
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | (15526) all_14_2 = e0
% 236.72/44.64 | | | | | | | | | | | | | | | (15527) ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0
% 236.72/44.64 | | | | | | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 236.72/44.64 | | | | | | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0)
% 236.72/44.64 | | | | | | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | COMBINE_EQS: (344), (15526) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15528) all_8_2 = e0
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | COMBINE_EQS: (311), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15529) all_48_2 = e0
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | COMBINE_EQS: (353), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15530) all_56_11 = e0
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | REDUCE: (371), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15531) ~ (all_52_6 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | REDUCE: (373), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15532) ~ (all_52_7 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | REDUCE: (375), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15533) ~ (all_52_9 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | REDUCE: (377), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15534) ~ (all_52_13 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | REDUCE: (14325), (15528) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | (15535) ~ (e3 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 236.72/44.64 | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | (15536) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | BETA: splitting (15536) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | (15537) all_58_2 = e0 & op(e2, e3) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15212), (15537) are inconsistent by
% 236.72/44.64 | | | | | | | | | | | | | | | | | sub-proof #1351.
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | (15538) all_58_3 = e0 & op(e2, e2) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | ALPHA: (15538) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | (15539) all_58_3 = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | (15540) op(e2, e2) = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | (15541) ~ (all_16_2 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | REDUCE: (342), (15541) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | (15542) ~ (all_10_2 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | (15543) all_54_0 = e3
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (15543) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | (15544) all_10_2 = e3
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | REDUCE: (15230), (15544) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | (15545) $false
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | CLOSE: (15545) is inconsistent.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | (15546) ~ (all_54_0 = e3)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | (15547) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (15547) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15548) all_54_0 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (15548) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15549) all_10_2 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (301), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15550) all_24_2 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (348), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15551) all_32_2 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15552) all_56_1 = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15553) ~ (all_52_12 = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (15230), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15554) ~ (e3 = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (15549) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | (15555) op(e3, e3) = e2
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | (15556) ~ (all_24_2 = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15550), (15556) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | (15557) $false
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15557) is inconsistent.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | (15558) ( ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)) | ( ~ (all_24_1 = e1) & op(e3, e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | = all_24_1 & $i(all_24_1))
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15558) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | (15559) ~ (all_24_0 = e0) & op(all_24_1, e3) = all_24_0 &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_24_1 & $i(all_24_0) &
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15559) implies:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | (15560) ~ (all_24_0 = e0)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | (15561) op(e3, e2) = all_24_1
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | (15562) op(all_24_1, e3) = all_24_0
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | (15563) ~ (all_32_2 = e2)
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15551), (15563) imply:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | (15564) $false
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15564) is inconsistent.
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.64 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15565) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15561) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15566) all_24_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15562), (15566) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15567) op(e3, e3) = all_24_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15565) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15568) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15568) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15569) ~ (all_32_0 = e1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15570) op(e3, e2) = all_32_1
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15571) op(all_32_1, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15570) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15572) all_32_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_24_0,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15555), (15567) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15573) all_24_0 = e2
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15571), (15572) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15574) op(e3, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_32_0,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15555), (15574) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15575) all_32_0 = e2
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15576) ~ (all_26_2 = e3)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15198), (15576) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15577) $false
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15577) is inconsistent.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15578) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (100), (103), (157),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (158), (159), (160), (162), (163), (164), (165),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (213), (216), (217), (218), (219),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (223), (224), (225), (226), (227),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (240), (241), (242), (246), (14311),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (14312), (14314), (14315), (14316), (14317),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (14319), (14324), (15196), (15199),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15201), (15202), (15208), (15209),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15212), (15213), (15216), (15217), (15222),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15527), (15529), (15530), (15531), (15532),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15540), (15552), (15553), (15555),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | (15578), (function-axioms) are inconsistent by
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #382.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15579) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15579) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15580) ~ (all_32_1 = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15581) op(e3, e2) = all_32_1
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15581) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15582) all_32_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_24_0,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15555), (15567) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15583) all_24_0 = e2
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (70), (100), (103),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (213), (216), (217), (218),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (225), (226),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (230), (231), (232), (233), (234),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (240), (241), (242), (246),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14311), (14312), (14314), (14315), (14316),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14324), (15196),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15198), (15199), (15200), (15201), (15202),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15527), (15529), (15530),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15532), (15539), (15540), (15552),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15553), (15555), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #381.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (15584) ~ (all_24_1 = e1) & op(e3, e2) = all_24_1 &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | $i(all_24_1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15584) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (15585) ~ (all_24_1 = e1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (15586) op(e3, e2) = all_24_1
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (79) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15587) ~ (all_32_2 = e2)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15551), (15587) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15588) $false
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15588) is inconsistent.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15589) ( ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)) | ( ~ (all_32_1 = e0) & op(e3, e2)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | = all_32_1 & $i(all_32_1))
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_24_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15586) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | (15590) all_24_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15589) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15591) ~ (all_32_0 = e1) & op(all_32_1, e3) = all_32_0 &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_32_1 & $i(all_32_0) &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15591) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15592) ~ (all_32_0 = e1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15593) op(e3, e2) = all_32_1
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15594) op(all_32_1, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15593) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15595) all_32_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15594), (15595) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15596) op(e3, e3) = all_32_0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_32_0,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (15555), (15596) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15597) all_32_0 = e2
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (70), (100), (103),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (213), (216), (217), (218),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (225), (226),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (230), (231), (232), (233), (234),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (240), (241), (242), (246),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14311), (14312), (14314), (14315), (14316),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14324), (15196),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15198), (15199), (15200), (15201), (15202),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15527), (15529), (15530),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15532), (15539), (15540), (15552),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15553), (15555), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #381.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15598) ~ (all_32_1 = e0) & op(e3, e2) = all_32_1 &
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_32_1)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15598) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15599) ~ (all_32_1 = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15600) op(e3, e2) = all_32_1
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_32_1,
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (15217), (15600) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15601) all_32_1 = e3
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (70), (100), (103),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (165), (168), (169), (213), (216), (217), (218),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (224), (225), (226),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (227), (229), (230), (231), (232), (233), (234),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (240), (241), (242), (246),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14311), (14312), (14314), (14315), (14316),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14324), (15196),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15198), (15199), (15200), (15201), (15202),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15208), (15209), (15212), (15213), (15216),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15217), (15222), (15527), (15529), (15530),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15532), (15539), (15540), (15552),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | (15553), (15555), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #381.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15602) all_54_0 = e1 | all_54_0 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (14326), (15542), (15602) are inconsistent
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | by sub-proof #2320.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15603) all_16_2 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (342), (15603) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15604) all_10_2 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | SIMP: (15604) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15605) all_10_2 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (15605) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15606) all_56_1 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | REDUCE: (357), (15605) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15607) ~ (all_52_2 = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | REDUCE: (363), (15605) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15608) ~ (all_52_8 = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | REDUCE: (14326), (15605) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15609) ~ (e1 = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | REDUCE: (45), (15605) imply:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | (15610) op(e3, e3) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | (15611) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (15611) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15612) all_58_4 = e0 & op(e3, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (15608), (15612), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1908.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15613) all_58_5 = e0 & op(e2, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15533), (15613), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | End of split
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | (15614) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (15614) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15615) all_58_8 = e0 & op(e1, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (15615) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15616) op(e1, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (14318), (15616), (function-axioms) are
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15617) all_58_14 = e0 & op(e0, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | ALPHA: (15617) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15618) all_58_14 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | (15619) op(e0, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | (15620) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (163), (15531), (15607), (15620),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | #2021.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | (15621) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15621) gives:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (15622) all_58_8 = e0 & op(e1, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15622) implies:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (15623) op(e1, e1) = e0
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (230), (14317), (15618), (15619), (15623),
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | | #437.
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.65 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | (15624) all_58_11 = e0 & op(e1, e0) = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15624) implies:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | (15625) op(e1, e0) = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15626) all_58_15 = e0 & op(e0, e0) = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15626) implies:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15627) op(e0, e0) = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15209), (15627), (function-axioms) are
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15628) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15628) implies:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15629) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e0, e1, e0, simplifying with (157), (15619) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15630) all_52_11 = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | e0, e0, e1, simplifying with (160), (15625) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15631) all_52_14 = e0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (15630) imply:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15632) ~ (all_52_3 = e0)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (15631) imply:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | (15633) ~ (all_52_12 = e0)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | (15634) ~ (all_26_2 = e3)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15198), (15634) imply:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | (15635) $false
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15635) is inconsistent.
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | (15636) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | (15637) ~ (all_46_2 = e3)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (15637) imply:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | (15638) $false
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15638) is inconsistent.
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | (15639) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (15640) ~ (all_48_2 = e0)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15529), (15640) imply:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (15641) $false
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15641) is inconsistent.
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | (15642) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.72/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15643) all_54_3 = e3
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (15201), (15643) are inconsistent by
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2057.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15644) ~ (all_54_3 = e3)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15645) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15646) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (168), (15201), (15213), (15606), (15646),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1511.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15647) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15647) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15648) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15648) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15649) op(e1, e3) = all_56_5
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15650) op(e1, all_56_5) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (15649)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15651) all_56_5 = all_52_2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15650), (15651) imply:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652) op(e1, all_52_2) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15653) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15653) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15654) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15654) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15655) op(e3, e0) = all_56_25
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15656) op(e3, all_56_25) = e3
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (168), (15655)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15657) all_56_25 = all_52_12
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15656), (15657) imply:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15658) op(e3, all_52_12) = e3
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15659) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15213), (15610), (15659),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1824.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15660) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15660) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15661) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15661) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15662) op(e1, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15663) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15212), (15610), (15663),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15664) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15664) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15665) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15665) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15666) op(e1, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15662), (15666), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15667) all_58_12 = e1 & op(e0, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15667) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15668) op(e0, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15669) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15669) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15670) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15670) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15671) all_58_12 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (163), (217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (225), (236), (237), (241), (14324),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15208), (15212), (15216), (15217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15540), (15610), (15625), (15629),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652), (15671), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #378.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15672) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (113), (128), (158), (159),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (169), (212), (235), (236),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (280), (14315), (14316), (14324),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15216), (15217), (15530), (15531),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15532), (15539), (15540), (15610), (15633),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636), (15639), (15645), (15658), (15662),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15668), (15672), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #375.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15673) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15209), (15618), (15673),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15674) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15674) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15675) all_58_12 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (163), (217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (225), (236), (237), (241), (14324),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15208), (15212), (15216), (15217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15540), (15610), (15625), (15629),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652), (15675), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #378.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15676) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15676) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15677) op(e2, e0) = all_56_27
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15678) op(e2, all_56_27) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15679) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15213), (15610), (15679),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1824.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15680) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15680) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15681) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15681) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15682) op(e1, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15683) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15212), (15610), (15683),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15684) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15684) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15685) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15685) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15686) op(e1, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15682), (15686), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15687) all_58_12 = e1 & op(e0, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15687) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15688) all_58_12 = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15689) op(e0, e3) = e1
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15690) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15690) gives:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15691) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15691) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15692) all_58_12 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15688), (15692) are inconsistent by
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1757.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15693) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (128), (158), (159), (162),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (212), (235), (236), (237), (238), (14315),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324), (15200), (15216), (15217), (15530),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15532), (15539), (15540), (15610),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636), (15639), (15642), (15677), (15678),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15682), (15689), (15693), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15694) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15209), (15618), (15694),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15695) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15695) implies:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15696) all_58_12 = e2
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (163), (217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (225), (236), (237), (241), (14324),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15208), (15212), (15216), (15217),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15540), (15610), (15625), (15629),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15652), (15696), (function-axioms) are
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #378.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15697) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (15199), (15625), (15632), (15697),
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #371.
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15698) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15698) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15699) op(e0, e3) = all_56_7
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15700) op(e0, all_56_7) = e0
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (15699)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15701) all_56_7 = all_52_3
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15700), (15701) imply:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15702) op(e0, all_52_3) = e0
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15703) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15703) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15704) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15704) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15705) op(e3, e0) = all_56_25
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15706) op(e3, all_56_25) = e3
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (168), (15705)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15707) all_56_25 = all_52_12
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15706), (15707) imply:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15708) op(e3, all_52_12) = e3
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15709) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15213), (15610), (15709),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1824.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15710) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15710) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15711) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15711) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15712) op(e1, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15713) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15212), (15610), (15713),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15714) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15714) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15715) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15715) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15716) op(e1, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15712), (15716), (function-axioms) are
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15717) all_58_12 = e1 & op(e0, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15717) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15718) op(e0, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15719) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15719) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15720) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15720) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15721) all_58_12 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (159), (225),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (14324), (15212), (15217), (15532),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15610), (15625), (15702), (15720),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15721), (function-axioms) are inconsistent by
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15722) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (113), (128), (158), (159),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (162), (163), (164), (169), (212), (235), (236),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (238), (280), (14315), (14316), (14324),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15200), (15216), (15217), (15530), (15531),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15532), (15539), (15540), (15610), (15633),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636), (15639), (15645), (15708), (15712),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15718), (15722), (function-axioms) are
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #375.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15723) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15209), (15618), (15723),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15724) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15724) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15725) all_58_12 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (159), (225),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (14324), (15212), (15217), (15532),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15610), (15625), (15702), (15724),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15725), (function-axioms) are inconsistent by
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15726) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15726) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15727) op(e2, e0) = all_56_27
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15728) op(e2, all_56_27) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15729) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15213), (15610), (15729),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1824.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15730) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15730) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15731) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15731) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15732) op(e1, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15733) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (15212), (15610), (15733),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1486.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15734) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15734) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15735) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15735) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15736) op(e1, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15732), (15736), (function-axioms) are
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15737) all_58_12 = e1 & op(e0, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15737) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15738) op(e0, e3) = e1
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15739) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15739) gives:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15740) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15740) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15741) all_58_12 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (159), (225),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (14324), (15212), (15217), (15532),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15610), (15625), (15702), (15740),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15741), (function-axioms) are inconsistent by
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15742) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (128), (158), (159), (162),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (212), (235), (236), (237), (238), (14315),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324), (15200), (15216), (15217), (15530),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15531), (15532), (15539), (15540), (15610),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15636), (15639), (15642), (15727), (15728),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15732), (15738), (15742), (function-axioms) are
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #373.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15743) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (15209), (15618), (15743),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #374.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15744) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15744) implies:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15745) all_58_12 = e2
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (8), (9), (158), (159), (225),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (241), (14324), (15212), (15217), (15532),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15539), (15610), (15625), (15702), (15744),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15745), (function-axioms) are inconsistent by
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #370.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15746) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (15199), (15625), (15632), (15746),
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #371.
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | (15747) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 236.84/44.67 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 236.84/44.67 | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (15533), (15534), (15747),
% 236.84/44.67 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | | | | #1991.
% 236.84/44.67 | | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | (15748) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | ALPHA: (15748) implies:
% 236.84/44.67 | | | | | | | | | | | | | | (15749) op(e2, e2) = e3
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_2, e3,
% 236.84/44.67 | | | | | | | | | | | | | | e2, e2, simplifying with (42), (15749) gives:
% 236.84/44.67 | | | | | | | | | | | | | | (15750) all_8_2 = e3
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | REDUCE: (14325), (15750) imply:
% 236.84/44.67 | | | | | | | | | | | | | | (15751) $false
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | | CLOSE: (15751) is inconsistent.
% 236.84/44.67 | | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | (15752) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.84/44.67 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.84/44.67 | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | | REF_CLOSE: (158), (162), (14315), (15200), (15752),
% 236.84/44.67 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | | | #475.
% 236.84/44.67 | | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | (15753) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.67 | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | | REF_CLOSE: (42), (14325), (15753), (function-axioms) are
% 236.84/44.67 | | | | | | | | | | | | inconsistent by sub-proof #450.
% 236.84/44.67 | | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | (15754) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 236.84/44.67 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | REF_CLOSE: (164), (165), (14317), (15202), (15754),
% 236.84/44.67 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.67 | | | | | | | | | | | #1649.
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | End of split
% 236.84/44.67 | | | | | | | | |
% 236.84/44.67 | | | | | | | | End of split
% 236.84/44.67 | | | | | | | |
% 236.84/44.67 | | | | | | | End of split
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | Case 2:
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | (15755) all_10_2 = e1
% 236.84/44.67 | | | | | | | (15756) ( ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 236.84/44.67 | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) & $i(all_10_1))
% 236.84/44.67 | | | | | | | | ( ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 236.84/44.67 | | | | | | | $i(all_10_1))
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | COMBINE_EQS: (349), (15755) imply:
% 236.84/44.67 | | | | | | | (15757) all_38_2 = e1
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | COMBINE_EQS: (290), (15755) imply:
% 236.84/44.67 | | | | | | | (15758) all_56_1 = e1
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (355), (15755) imply:
% 236.84/44.67 | | | | | | | (15759) ~ (all_52_1 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (357), (15755) imply:
% 236.84/44.67 | | | | | | | (15760) ~ (all_52_2 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (359), (15755) imply:
% 236.84/44.67 | | | | | | | (15761) ~ (all_52_3 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (361), (15755) imply:
% 236.84/44.67 | | | | | | | (15762) ~ (all_52_4 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (363), (15755) imply:
% 236.84/44.67 | | | | | | | (15763) ~ (all_52_8 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (365), (15755) imply:
% 236.84/44.67 | | | | | | | (15764) ~ (all_52_12 = e1)
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | REDUCE: (45), (15755) imply:
% 236.84/44.67 | | | | | | | (15765) op(e3, e3) = e1
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | BETA: splitting (49) gives:
% 236.84/44.67 | | | | | | |
% 236.84/44.67 | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | |
% 236.84/44.67 | | | | | | | | (15766) ~ (all_12_2 = e3)
% 236.84/44.67 | | | | | | | |
% 236.84/44.67 | | | | | | | | REDUCE: (346), (15766) imply:
% 236.84/44.67 | | | | | | | | (15767) ~ (all_4_2 = e3)
% 236.84/44.67 | | | | | | | |
% 236.84/44.67 | | | | | | | | BETA: splitting (52) gives:
% 236.84/44.67 | | | | | | | |
% 236.84/44.67 | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | |
% 236.84/44.67 | | | | | | | | | (15768) ~ (all_14_2 = e0)
% 236.84/44.67 | | | | | | | | |
% 236.84/44.67 | | | | | | | | | REDUCE: (344), (15768) imply:
% 236.84/44.67 | | | | | | | | | (15769) ~ (all_8_2 = e0)
% 236.84/44.67 | | | | | | | | |
% 236.84/44.67 | | | | | | | | | BETA: splitting (61) gives:
% 236.84/44.67 | | | | | | | | |
% 236.84/44.67 | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | (15770) ~ (all_20_2 = e1)
% 236.84/44.67 | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | REDUCE: (341), (15770) imply:
% 236.84/44.67 | | | | | | | | | | (15771) ~ (all_4_2 = e1)
% 236.84/44.67 | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | BETA: splitting (189) gives:
% 236.84/44.67 | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | Case 1:
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | (15772) all_54_15 = e3
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | REF_CLOSE: (299), (15767), (15772) are inconsistent by
% 236.84/44.67 | | | | | | | | | | | sub-proof #2340.
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | Case 2:
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | (15773) ~ (all_54_15 = e3)
% 236.84/44.67 | | | | | | | | | | | (15774) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.84/44.67 | | | | | | | | | | |
% 236.84/44.67 | | | | | | | | | | | BETA: splitting (15774) gives:
% 236.84/44.68 | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | (15775) all_54_15 = e2
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | REF_CLOSE: (299), (390), (15775) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | sub-proof #2339.
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | (15776) ~ (all_54_15 = e2)
% 236.84/44.68 | | | | | | | | | | | | (15777) all_54_15 = e1 | all_54_15 = e0
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | BETA: splitting (15777) gives:
% 236.84/44.68 | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | (15778) all_54_15 = e1
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REF_CLOSE: (299), (15771), (15778) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | | sub-proof #2338.
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | (15779) all_54_15 = e0
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | COMBINE_EQS: (299), (15779) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15780) all_4_2 = e0
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | SIMP: (15780) implies:
% 236.84/44.68 | | | | | | | | | | | | | (15781) all_4_2 = e0
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | COMBINE_EQS: (254), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15782) all_56_31 = e0
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (368), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15783) ~ (all_52_3 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (379), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15784) ~ (all_52_7 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (388), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15785) ~ (all_52_13 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (389), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15786) ~ (all_52_14 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (15767), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15787) ~ (e3 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (390), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15788) ~ (e2 = e0)
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | REDUCE: (36), (15781) imply:
% 236.84/44.68 | | | | | | | | | | | | | (15789) op(e0, e0) = e0
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.84/44.68 | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | (15790) ~ (all_22_2 = e1)
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REDUCE: (326), (15790) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15791) ~ (all_8_2 = e1)
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REF_CLOSE: (159), (160), (164), (165), (167), (169), (199),
% 236.84/44.68 | | | | | | | | | | | | | | (213), (275), (353), (366), (375), (14325),
% 236.84/44.68 | | | | | | | | | | | | | | (15758), (15763), (15769), (15782), (15783),
% 236.84/44.68 | | | | | | | | | | | | | | (15785), (15786), (15791), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | inconsistent by sub-proof #1212.
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | (15792) all_22_2 = e1
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | COMBINE_EQS: (326), (15792) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15793) all_8_2 = e1
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | SIMP: (15793) implies:
% 236.84/44.68 | | | | | | | | | | | | | | (15794) all_8_2 = e1
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | COMBINE_EQS: (353), (15794) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15795) all_56_11 = e1
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REDUCE: (375), (15794) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15796) ~ (all_52_9 = e1)
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REDUCE: (377), (15794) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15797) ~ (all_52_13 = e1)
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REDUCE: (14325), (15794) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15798) ~ (e3 = e1)
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | REDUCE: (42), (15794) imply:
% 236.84/44.68 | | | | | | | | | | | | | | (15799) op(e2, e2) = e1
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 236.84/44.68 | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | (15800) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | BETA: splitting (15800) gives:
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | (15801) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | ALPHA: (15801) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | (15802) op(e1, e3) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15760), (15802), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | (15803) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | ALPHA: (15803) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | (15804) all_58_7 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | (15805) op(e1, e2) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | (15806) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | BETA: splitting (15806) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15807) all_58_1 = e0 & op(e3, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | ALPHA: (15807) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15808) op(e3, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (15809) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (15809) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15810) all_58_1 = e3 & op(e3, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (15810) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15811) op(e3, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (15808), (15811), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2099.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15812) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (164), (165), (167), (232), (15759), (15796),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15797), (15812), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2196.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (15813) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (15813) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15814) all_58_7 = e3 & op(e1, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (15814) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15815) op(e1, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15805), (15815), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2094.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15816) all_58_13 = e3 & op(e0, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | ALPHA: (15816) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15817) op(e0, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (237), (15799), (15804), (15808),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15817), (function-axioms) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | sub-proof #368.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15818) all_58_3 = e0 & op(e2, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (15769), (15818), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1992.
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | (15819) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | BETA: splitting (15819) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15820) all_58_7 = e0 & op(e1, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | ALPHA: (15820) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15821) op(e1, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (15805), (15821), (function-axioms)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15822) all_58_13 = e0 & op(e0, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | ALPHA: (15822) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15823) op(e0, e2) = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15784), (15823), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2252.
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | (15824) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.84/44.68 | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | BETA: splitting (15824) gives:
% 236.84/44.68 | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | (15825) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (15825) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | | | | | sub-proof #406.
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | (15826) all_58_11 = e1 & op(e1, e0) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | ALPHA: (15826) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | (15827) all_58_11 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | (15828) op(e1, e0) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | (15829) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (15763), (15796), (15829),
% 236.84/44.68 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.68 | | | | | | | | | | | | | | | | | #1211.
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | (15830) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | BETA: splitting (15830) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15831) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | ALPHA: (15831) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15832) all_58_8 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15833) op(e1, e1) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (225),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (226), (14315), (15827), (15828), (15832),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15833), (function-axioms) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | | | | | | | sub-proof #787.
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15834) all_58_14 = e1 & op(e0, e1) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | ALPHA: (15834) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15835) all_58_14 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | (15836) op(e0, e1) = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (15837) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (15837) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (15838) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (15838) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15839) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | ALPHA: (15839) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15840) op(e2, e3) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15841) op(e3, e2) = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (15836) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15842) all_52_11 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (15828) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15843) all_52_14 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (167), (15840) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15844) all_52_1 = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (170), (15841) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15845) all_52_4 = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (15844) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15846) ~ (all_52_3 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (15846) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15847) ~ (all_52_3 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (15844) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15848) ~ (all_52_13 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (15848) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15849) ~ (all_52_13 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (15845) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15850) ~ (all_52_7 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | SIMP: (15850) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | (15851) ~ (all_52_7 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | (15852) all_54_12 = e3
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (15847), (15852) are inconsistent by
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | (15853) ~ (all_54_12 = e3)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | (15854) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15854) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15855) all_54_12 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (15855) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15856) all_52_3 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15856) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15857) all_52_3 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15857) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15858) ~ (all_52_7 = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15858) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15859) ~ (all_52_7 = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15847), (15857) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | (15860) ~ (e3 = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | (15861) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15799), (15841), (15861),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | #1785.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | (15862) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15862) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | (15863) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15863) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | (15864) all_58_7 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (15865) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15865) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15866) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15866) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15867) all_58_12 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (158), (219), (15789), (15835),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15851), (15867), (function-axioms) are
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1550.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15868) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15868) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15869) all_58_13 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15870) op(e0, e2) = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (235), (236), (237),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (15864), (15869), (15870),
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1453.
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (15871) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15871) gives:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15872) all_58_14 = e2 & op(e0, e1) = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15872) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15873) all_58_14 = e2
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15835), (15873) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15874) e2 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15874) implies:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15875) e2 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15864), (15875) imply:
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15876) all_58_7 = e1
% 236.84/44.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (225),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (14319), (15827), (15828), (15876),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1417.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15877) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (216),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (15785), (15786), (15789),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15849), (15877), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | (15878) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15878) implies:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | (15879) op(e0, e2) = e2
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (15859), (15879), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | (15880) all_54_12 = e1 | all_54_12 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (15761), (15783), (15880) are inconsistent
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2067.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | (15881) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14313), (14314), (15881),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | #483.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15882) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (15763), (15782), (15783), (15882),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | #2307.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (15883) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (15883) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15884) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | = e2)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15782), (15795), (15796), (15884),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | #2297.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15885) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (15782), (15785), (15786), (15885),
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | #2321.
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | (15886) all_20_2 = e1
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | COMBINE_EQS: (341), (15886) imply:
% 236.84/44.69 | | | | | | | | | | (15887) all_4_2 = e1
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | SIMP: (15887) implies:
% 236.84/44.69 | | | | | | | | | | (15888) all_4_2 = e1
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | COMBINE_EQS: (254), (15888) imply:
% 236.84/44.69 | | | | | | | | | | (15889) all_56_31 = e1
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | REDUCE: (386), (15888) imply:
% 236.84/44.69 | | | | | | | | | | (15890) ~ (all_52_11 = e1)
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | REDUCE: (389), (15888) imply:
% 236.84/44.69 | | | | | | | | | | (15891) ~ (all_52_14 = e1)
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | REDUCE: (15767), (15888) imply:
% 236.84/44.69 | | | | | | | | | | (15892) ~ (e3 = e1)
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | BETA: splitting (224) gives:
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | (15893) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.84/44.69 | | | | | | | | | | | & op(e1, e2) = e1)
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | BETA: splitting (15893) gives:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | (15894) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | ALPHA: (15894) implies:
% 236.84/44.69 | | | | | | | | | | | | (15895) op(e1, e3) = e1
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | REF_CLOSE: (163), (15760), (15895), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | (15896) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | ALPHA: (15896) implies:
% 236.84/44.69 | | | | | | | | | | | | (15897) op(e1, e2) = e1
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | (15898) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.84/44.69 | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | BETA: splitting (15898) gives:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15899) all_58_4 = e1 & op(e3, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | ALPHA: (15899) implies:
% 236.84/44.69 | | | | | | | | | | | | | | (15900) op(e3, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | REF_CLOSE: (169), (15763), (15900), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15901) all_58_5 = e1 & op(e2, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | REF_CLOSE: (113), (123), (126), (148), (158), (159), (160),
% 236.84/44.69 | | | | | | | | | | | | | | (162), (163), (164), (165), (167), (168), (169),
% 236.84/44.69 | | | | | | | | | | | | | | (199), (213), (233), (234), (275), (353), (366),
% 236.84/44.69 | | | | | | | | | | | | | | (373), (375), (377), (14313), (14314), (14317),
% 236.84/44.69 | | | | | | | | | | | | | | (14325), (15769), (15889), (15897), (15901),
% 236.84/44.69 | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | | | | #454.
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | (15902) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.84/44.69 | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | BETA: splitting (15902) gives:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15903) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (15903) are inconsistent by
% 236.84/44.69 | | | | | | | | | | | | | | sub-proof #406.
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15904) all_58_14 = e1 & op(e0, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | ALPHA: (15904) implies:
% 236.84/44.69 | | | | | | | | | | | | | | (15905) op(e0, e1) = e1
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | REF_CLOSE: (157), (15890), (15905), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | | | | inconsistent by sub-proof #2272.
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | (15906) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.84/44.69 | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | REF_CLOSE: (8), (160), (14323), (15891), (15906),
% 236.84/44.69 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.69 | | | | | | | | | | | #367.
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | End of split
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | (15907) all_14_2 = e0
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | COMBINE_EQS: (344), (15907) imply:
% 236.84/44.69 | | | | | | | | | (15908) all_8_2 = e0
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | SIMP: (15908) implies:
% 236.84/44.69 | | | | | | | | | (15909) all_8_2 = e0
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | COMBINE_EQS: (311), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15910) all_48_2 = e0
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (366), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15911) ~ (all_52_1 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (369), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15912) ~ (all_52_4 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (371), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15913) ~ (all_52_6 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (373), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15914) ~ (all_52_7 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (375), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15915) ~ (all_52_9 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (377), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15916) ~ (all_52_13 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | REDUCE: (14325), (15909) imply:
% 236.84/44.69 | | | | | | | | | (15917) ~ (e3 = e0)
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | BETA: splitting (235) gives:
% 236.84/44.69 | | | | | | | | |
% 236.84/44.69 | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | (15918) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 236.84/44.69 | | | | | | | | | | & op(e2, e2) = e0)
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | BETA: splitting (15918) gives:
% 236.84/44.69 | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | (15919) all_58_1 = e0 & op(e3, e2) = e0
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | REF_CLOSE: (170), (15912), (15919), (function-axioms) are
% 236.84/44.69 | | | | | | | | | | | inconsistent by sub-proof #1968.
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | (15920) all_58_3 = e0 & op(e2, e2) = e0
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | ALPHA: (15920) implies:
% 236.84/44.69 | | | | | | | | | | | (15921) all_58_3 = e0
% 236.84/44.69 | | | | | | | | | | | (15922) op(e2, e2) = e0
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | BETA: splitting (61) gives:
% 236.84/44.69 | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | (15923) ~ (all_20_2 = e1)
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | REDUCE: (341), (15923) imply:
% 236.84/44.69 | | | | | | | | | | | | (15924) ~ (all_4_2 = e1)
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | BETA: splitting (189) gives:
% 236.84/44.69 | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | (15925) all_54_15 = e3
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | REF_CLOSE: (299), (15767), (15925) are inconsistent by
% 236.84/44.69 | | | | | | | | | | | | | sub-proof #2340.
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | (15926) ~ (all_54_15 = e3)
% 236.84/44.69 | | | | | | | | | | | | | (15927) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | BETA: splitting (15927) gives:
% 236.84/44.69 | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15928) all_54_15 = e2
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (15928) are inconsistent by
% 236.84/44.69 | | | | | | | | | | | | | | sub-proof #2339.
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | (15929) ~ (all_54_15 = e2)
% 236.84/44.69 | | | | | | | | | | | | | | (15930) all_54_15 = e1 | all_54_15 = e0
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | BETA: splitting (15930) gives:
% 236.84/44.69 | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | (15931) all_54_15 = e1
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REF_CLOSE: (299), (15924), (15931) are inconsistent by
% 236.84/44.69 | | | | | | | | | | | | | | | sub-proof #2338.
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | Case 2:
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | (15932) all_54_15 = e0
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | COMBINE_EQS: (299), (15932) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15933) all_4_2 = e0
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | SIMP: (15933) implies:
% 236.84/44.69 | | | | | | | | | | | | | | | (15934) all_4_2 = e0
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | COMBINE_EQS: (254), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15935) all_56_31 = e0
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (368), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15936) ~ (all_52_3 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (386), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15937) ~ (all_52_11 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (389), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15938) ~ (all_52_14 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (390), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15939) ~ (e2 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (15924), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15940) ~ (e1 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | REDUCE: (36), (15934) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | (15941) op(e0, e0) = e0
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 236.84/44.69 | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | (15942) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | BETA: splitting (15942) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | (15943) all_58_4 = e0 & op(e3, e1) = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | ALPHA: (15943) implies:
% 236.84/44.69 | | | | | | | | | | | | | | | | | (15944) all_58_4 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | (15945) op(e3, e1) = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | (15946) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | BETA: splitting (15946) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (15947) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | ALPHA: (15947) implies:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (15948) all_58_6 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | (15949) op(e1, e3) = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15950) all_58_15 = e0 & op(e0, e0) = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | ALPHA: (15950) implies:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15951) all_58_15 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e0,
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (15949) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15952) all_52_2 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (15945) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15953) all_52_8 = e0
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (15952) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15954) ~ (all_52_3 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (15952) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15955) ~ (all_52_14 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (15953) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15956) ~ (all_52_9 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (15953) imply:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | (15957) ~ (all_52_11 = e0)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | | (15958) ~ (all_38_2 = e1)
% 236.84/44.69 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15757), (15958) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | (15959) $false
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | CLOSE: (15959) is inconsistent.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | (15960) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15756) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | (15961) ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15961) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | (15962) op(e3, e1) = all_10_1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | (15963) op(all_10_1, e3) = all_10_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | (15964) ~ (all_46_2 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (15964) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | (15965) $false
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (15965) is inconsistent.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | (15966) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14311) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15967) ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15967) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15968) ~ (all_6_0 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15969) op(e1, e3) = all_6_1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15970) op(all_6_1, e1) = all_6_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_6_1,
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (15949), (15969) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15971) all_6_1 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15945), (15962) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15972) all_10_1 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15963), (15972) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15973) op(e0, e3) = all_10_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15970), (15971) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | (15974) op(e0, e1) = all_6_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15975) ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15975) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15976) op(e3, e1) = all_38_1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e1, e0, simplifying with (157), (15974)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15977) all_52_11 = all_6_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_0, e3, e0, simplifying with (159), (15973)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15978) all_52_3 = all_10_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_1,
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15945), (15976) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15979) all_38_1 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (15977) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15980) all_54_14 = all_6_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (15978) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15981) all_54_12 = all_10_0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (15978) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15982) ~ (all_52_1 = all_10_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (15978) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15983) ~ (all_52_7 = all_10_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (15983) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15984) ~ (all_52_7 = all_10_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (15977), (15978) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15985) ~ (all_10_0 = all_6_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15936), (15978) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15986) ~ (all_10_0 = e0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (15977) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15987) ~ (all_52_7 = all_6_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (15977) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15988) ~ (all_52_9 = all_6_0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (15977) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15989) ~ (all_6_0 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15937), (15977) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | (15990) ~ (all_6_0 = e0)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (15991) all_54_14 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15980), (15989), (15991) are inconsistent by
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #452.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | (15992) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15993) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (15945), (15968), (15980), (15988),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15990), (15992), (15993), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | (15994) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15994) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15995) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (15995) are inconsistent by
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15996) all_58_14 = e1 & op(e0, e1) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (15996) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15997) all_58_14 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15992) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15998) all_54_14 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15968), (15980), (15998) are inconsistent by
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #451.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15999) all_54_14 = e1 | all_54_14 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16000) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16000) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16001) all_58_2 = e1 & op(e2, e3) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15759), (16001), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16002) all_58_3 = e1 & op(e2, e2) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15921), (16002) are inconsistent by
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16003) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16003) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16004) all_58_5 = e1 & op(e2, e1) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16004) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16005) all_58_5 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (229), (230),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15944), (15997), (16005), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1248.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16006) all_58_10 = e1 & op(e2, e0) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16006) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16007) all_58_10 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16008) op(e2, e0) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16009) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16009) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16010) all_58_9 = e3 & op(e3, e0) = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16010) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16011) all_58_9 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15999) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16012) all_54_14 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15980), (16012) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16013) all_6_0 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16013) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16014) all_6_0 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15987), (16014) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16015) ~ (all_52_7 = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15988), (16014) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16016) ~ (all_52_9 = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15985), (16014) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16017) ~ (all_10_0 = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16018) all_54_6 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (16018) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16019) all_52_9 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14317), (16019) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16020) $false
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16020) is inconsistent.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16021) all_54_6 = e2 | all_54_6 = e1 | all_54_6 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16021) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16022) all_54_6 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (270), (16022) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16023) all_52_9 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (16023) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16024) ~ (all_52_1 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (16023) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16025) ~ (all_52_13 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16025) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16026) ~ (all_52_13 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (16023) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16027) op(e2, e1) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16028) all_54_4 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (16028) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16029) all_52_1 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16029) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16030) ~ (all_52_13 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16030) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16031) ~ (all_52_13 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15982), (16029) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16032) ~ (all_10_0 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16032) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16033) ~ (all_10_0 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16034) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (170), (15762), (15921), (16034),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1377.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16035) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16035) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16036) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16036) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16037) all_58_7 = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16038) op(e1, e2) = e1
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16039) all_54_12 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15981), (16039) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16040) all_10_0 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16040) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16041) all_10_0 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16033), (16041) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16042) $false
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16042) is inconsistent.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16043) ~ (all_54_12 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16044) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16044) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16045) all_54_12 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15981), (16045) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16046) all_10_0 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16046) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16047) all_10_0 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15984), (16047) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16048) ~ (all_52_7 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16033), (16047) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16049) ~ (e3 = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16050) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16050) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16051) all_58_0 = e2 & op(e3, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16051) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16052) op(e3, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (168), (169),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (242), (15763), (15764),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15922), (16037), (16038), (16052),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1712.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16053) all_58_2 = e2 & op(e2, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16053) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16054) op(e2, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (16024), (16054), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16055) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16055) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16056) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16056) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16057) all_58_6 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15948), (16057) are inconsistent by
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16058) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16058) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16059) all_58_12 = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16060) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16060) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16061) all_58_2 = e3 & op(e2, e3) = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16061) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16062) all_58_2 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16063) all_54_13 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (16063) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16064) all_52_7 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16064) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16065) all_52_7 = e3
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (16065) imply:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16066) ~ (all_52_4 = e3)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16067) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16067) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16068) all_58_9 = e2 & op(e3, e0) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16068) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16069) op(e3, e0) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (15765), (15944),
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16066), (16069), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16070) all_58_10 = e2 & op(e2, e0) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16070) implies:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16071) op(e2, e0) = e2
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16026), (16071), (function-axioms) are
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2317.
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16072) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16072) gives:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16073) all_58_11 = e2 & op(e1, e0) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16073) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16074) all_58_11 = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16075) op(e1, e0) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16076) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16076) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16077) all_58_0 = e2 & op(e3, e3) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16077) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16078) op(e3, e3) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (8), (241), (15948), (16059), (16062),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16078), (function-axioms) are inconsistent by
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1762.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16079) all_58_1 = e2 & op(e3, e2) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16079) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16080) all_58_1 = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16081) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16081) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16082) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16082) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16083) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16083) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16084) op(e3, e2) = e3
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (16066), (16084), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16085) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (16024), (16085),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2334.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16086) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (15935), (15936), (15945), (16086),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #364.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16087) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16087) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16088) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16088) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16089) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16089) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16090) ~ (all_56_1 = e1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (16090) imply:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16091) $false
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16091) is inconsistent.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16092) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16092) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16093) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16093) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16094) op(e2, e1) = e1
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (15922), (16027), (16037), (16038),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16080), (16094), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1498.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16095) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16095) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16096) ~ (all_38_1 = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15756), (15945), (15976), (16096),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16097) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16097) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16098) op(e0, e2) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16048), (16098), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2327.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16099) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (164), (15938), (16008), (16075),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16099), (function-axioms) are inconsistent by
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #363.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16100) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16100) gives:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16101) all_58_4 = e2 & op(e3, e1) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16101) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16102) all_58_4 = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15944), (16102) imply:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16103) e2 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16103) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16104) e2 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16074), (16104) imply:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16105) all_58_11 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (225), (226), (14315),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15948), (16037), (16105), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16106) all_58_9 = e2 & op(e3, e0) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16106) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16107) op(e3, e0) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (170), (246), (15765), (15944),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16066), (16107), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1400.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16108) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (216),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (221), (222), (15916), (15938), (15941),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16031), (16108), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1488.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16109) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (15914), (16015), (16048), (16109) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1648.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16110) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16110) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16111) all_58_3 = e3
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15921), (16111) imply:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16112) e3 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16112) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16113) e3 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16011), (16113) imply:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16114) all_58_9 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (220), (221),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (222), (15941), (16031), (16114),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1650.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16115) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (164), (16027), (16031), (16115),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1913.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16116) all_54_12 = e1 | all_54_12 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15981), (15986), (16017), (16116) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1157.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16117) all_58_13 = e1 & op(e0, e2) = e1
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16015), (16117), (function-axioms) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16118) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (15759), (15911), (16024), (16118) are
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1921.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16119) all_54_6 = e1 | all_54_6 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (15915), (16016), (16119) are inconsistent
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #476.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16120) all_54_14 = e0
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15980), (15990), (16120) are inconsistent by
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #448.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16121) all_58_10 = e3 & op(e2, e0) = e3
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16007), (16121) are inconsistent by
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1620.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16122) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (14319), (15941), (16122),
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | (16123) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16123) implies:
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | (16124) ~ (all_38_1 = e0)
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | (16125) op(e3, e1) = all_38_1
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.71 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15756), (15945), (16124), (16125),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16126) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15949), (15966), (16126), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | (16127) ~ (all_10_1 = e2) & op(e3, e1) = all_10_1 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | $i(all_10_1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16127) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | (16128) ~ (all_10_1 = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | (16129) op(e3, e1) = all_10_1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | (16130) ~ (all_46_2 = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (16130) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | (16131) $false
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16131) is inconsistent.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | (16132) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14311) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16133) ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16133) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16134) ~ (all_6_0 = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16135) op(e1, e3) = all_6_1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16136) op(all_6_1, e1) = all_6_0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_6_1,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (15949), (16135) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16137) all_6_1 = e0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15945), (16129) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16138) all_10_1 = e0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16136), (16137) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | (16139) op(e0, e1) = all_6_0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (15960) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16140) ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = all_38_1 & $i(all_38_0) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16140) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16141) op(e3, e1) = all_38_1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0, e1, e0, simplifying with (157), (16139)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16142) all_52_11 = all_6_0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_38_1,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (15945), (16141) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16143) all_38_1 = e0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (255), (16142) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16144) all_54_14 = all_6_0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (16142) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16145) ~ (all_52_9 = all_6_0)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (16142) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16146) ~ (all_6_0 = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15937), (16142) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | (16147) ~ (all_6_0 = e0)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (16148) all_54_14 = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16144), (16146), (16148) are inconsistent by
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #452.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (16149) all_54_14 = e2 | all_54_14 = e1 | all_54_14 = e0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16150) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16150) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16151) all_58_4 = e2 & op(e3, e1) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16151) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16152) op(e3, e1) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16128), (16129), (16141), (16152),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16153) all_58_5 = e2 & op(e2, e1) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16153) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16154) op(e2, e1) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16155) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16155) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16156) all_58_2 = e1 & op(e2, e3) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15759), (16156), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16157) all_58_3 = e1 & op(e2, e2) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15921), (16157) are inconsistent by
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16158) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16158) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16159) all_58_5 = e1 & op(e2, e1) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16159) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16160) op(e2, e1) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (16134), (16144), (16145), (16147),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16149), (16160), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #446.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16161) all_58_10 = e1 & op(e2, e0) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16161) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16162) all_58_10 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16163) op(e2, e0) = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16164) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16164) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16165) all_58_9 = e3 & op(e3, e0) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16165) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16166) all_58_9 = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16167) op(e3, e0) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16168) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16168) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16169) all_58_2 = e3 & op(e2, e3) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16169) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16170) op(e2, e3) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16171) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16171) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16172) all_58_9 = e2 & op(e3, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16172) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16173) op(e3, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16167), (16173), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16174) all_58_10 = e2 & op(e2, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16174) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16175) op(e2, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16163), (16175), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1659.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16176) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16176) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16177) all_58_11 = e2 & op(e1, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16177) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16178) op(e1, e0) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16179) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16179) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16180) all_58_0 = e2 & op(e3, e3) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16180) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16181) op(e3, e3) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15765), (16181), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16182) all_58_1 = e2 & op(e3, e2) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16182) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16183) op(e3, e2) = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16184) (all_58_1 = e3 & op(e3, e2) = e3) | (all_58_3 = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16184) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16185) all_58_1 = e3 & op(e3, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16185) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16186) op(e3, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16183), (16186), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2193.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16187) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (15765),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15921), (15944), (16166), (16187),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16188) (all_58_7 = e3 & op(e1, e2) = e3) | (all_58_13 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16188) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16189) all_58_7 = e3 & op(e1, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16189) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16190) op(e1, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (14315), (16190), (function-axioms) are
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2191.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16191) all_58_13 = e3 & op(e0, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16191) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16192) op(e0, e2) = e3
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16149) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16193) all_54_14 = e2
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16134), (16144), (16193) are inconsistent by
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #451.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16194) ~ (all_54_14 = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16195) all_54_14 = e1 | all_54_14 = e0
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16195) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16196) all_54_14 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16144), (16196) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16197) all_6_0 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16197) implies:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16198) all_6_0 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16145), (16198) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16199) ~ (all_52_9 = e1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16134), (16198) imply:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16200) ~ (e2 = e1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16201) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16201) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16202) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (14314), (16170), (16183), (16202),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #361.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16203) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (15935), (15936), (15945), (16203),
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #364.
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16204) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16204) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16205) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16205) gives:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16206) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16206) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16207) ~ (all_56_1 = e1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (16207) imply:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16208) $false
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16208) is inconsistent.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16209) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (165), (16192), (16199), (16209),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1108.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16210) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (160), (164), (15938), (16163), (16178),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16210), (function-axioms) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #363.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16211) all_54_14 = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16144), (16147), (16211) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #448.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16212) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16212) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16213) all_58_4 = e2 & op(e3, e1) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16213) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16214) op(e3, e1) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16128), (16129), (16141), (16214),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1114.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16215) all_58_9 = e2 & op(e3, e0) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16215) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16216) op(e3, e0) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16167), (16216), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2125.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16217) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16217) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16218) op(e0, e0) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15941), (16218), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2301.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16219) all_58_3 = e3 & op(e2, e2) = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (244), (246), (15765),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15921), (15944), (16166), (16219),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #362.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16220) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16220) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16221) all_58_5 = e3 & op(e2, e1) = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16221) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16222) op(e2, e1) = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16154), (16222), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2256.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16223) all_58_10 = e3 & op(e2, e0) = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16223) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16224) all_58_10 = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16162), (16224) imply:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16225) e3 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16225) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16226) e3 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16166), (16226) imply:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16227) all_58_9 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (15951),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16162), (16227) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1495.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16228) all_58_10 = e3 & op(e2, e0) = e3
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16162), (16228) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1620.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16229) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (160), (14319), (15941), (16229),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1431.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16230) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16230) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16231) all_58_8 = e2 & op(e1, e1) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16231) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16232) op(e1, e1) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (16232), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16233) all_58_14 = e2 & op(e0, e1) = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16233) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16234) all_58_14 = e2
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16235) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (165), (15945), (16134), (16144), (16145),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16147), (16149), (16235), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #366.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16236) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16236) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16237) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (16237) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #365.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16238) all_58_14 = e1 & op(e0, e1) = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16238) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16239) all_58_14 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16234), (16239) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2044.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | (16240) ~ (all_38_1 = e0) & op(e3, e1) = all_38_1 &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16240) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | (16241) ~ (all_38_1 = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | (16242) op(e3, e1) = all_38_1
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15756), (15945), (16241), (16242),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | | #1194.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | (16243) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15949), (16132), (16243), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | (16244) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | ALPHA: (16244) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | (16245) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16245) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | (16246) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | ALPHA: (16246) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | (16247) op(e0, e3) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (15936), (16247), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2331.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | (16248) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16248) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16249) all_58_13 = e0 & op(e0, e2) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16249) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16250) op(e0, e2) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (217), (218),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (219), (15761), (15941), (16250),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | #1770.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16251) all_58_14 = e0 & op(e0, e1) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16251) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16252) all_58_14 = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16253) op(e0, e1) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (159), (217), (218),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (219), (15761), (15941), (16245), (16252),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | (16253), (function-axioms) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2073.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (16254) all_58_7 = e0 & op(e1, e2) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15913), (16254), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | (16255) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.84/44.73 | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | BETA: splitting (16255) gives:
% 236.84/44.73 | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (16256) all_58_8 = e0 & op(e1, e1) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | ALPHA: (16256) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (16257) op(e1, e1) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (165), (228), (229),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (230), (14317), (15944), (16257),
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | #1662.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (16258) all_58_11 = e0 & op(e1, e0) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | ALPHA: (16258) implies:
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | (16259) op(e1, e0) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (15938), (16259), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 236.84/44.73 | | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | (16260) all_58_5 = e0 & op(e2, e1) = e0
% 236.84/44.73 | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (15915), (16260), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2088.
% 236.84/44.73 | | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | (16261) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 236.84/44.73 | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.84/44.73 | | | | | | | | | | | | | | | | (14318), (15937), (16261), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | inconsistent by sub-proof #360.
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | (16262) all_20_2 = e1
% 236.84/44.73 | | | | | | | | | | | | (16263) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 236.84/44.73 | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 236.84/44.73 | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 236.84/44.73 | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | COMBINE_EQS: (341), (16262) imply:
% 236.84/44.73 | | | | | | | | | | | | (16264) all_4_2 = e1
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | COMBINE_EQS: (324), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16265) all_34_2 = e1
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | COMBINE_EQS: (254), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16266) all_56_31 = e1
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | REDUCE: (388), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16267) ~ (all_52_13 = e1)
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | REDUCE: (389), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16268) ~ (all_52_14 = e1)
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | REDUCE: (15767), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16269) ~ (e3 = e1)
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | REDUCE: (390), (16264) imply:
% 236.84/44.73 | | | | | | | | | | | | (16270) ~ (e2 = e1)
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | BETA: splitting (224) gives:
% 236.84/44.73 | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | (16271) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.84/44.73 | | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.84/44.73 | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | BETA: splitting (16271) gives:
% 236.84/44.73 | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | (16272) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | ALPHA: (16272) implies:
% 236.84/44.73 | | | | | | | | | | | | | | (16273) op(e1, e3) = e1
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | REF_CLOSE: (163), (15760), (16273), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | (16274) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | ALPHA: (16274) implies:
% 236.84/44.73 | | | | | | | | | | | | | | (16275) all_58_7 = e1
% 236.84/44.73 | | | | | | | | | | | | | | (16276) op(e1, e2) = e1
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 236.84/44.73 | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | (16277) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 236.84/44.73 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | BETA: splitting (16277) gives:
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | (16278) all_58_2 = e1 & op(e2, e3) = e1
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15759), (16278), (function-axioms) are
% 236.84/44.73 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | (16279) all_58_3 = e1 & op(e2, e2) = e1
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (15921), (16279) are inconsistent by
% 236.84/44.73 | | | | | | | | | | | | | | | | sub-proof #1752.
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | End of split
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | Case 2:
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | (16280) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 236.84/44.73 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | BETA: splitting (16280) gives:
% 236.84/44.73 | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.73 | | | | | | | | | | | | | | | |
% 236.84/44.73 | | | | | | | | | | | | | | | | (16281) all_58_5 = e1 & op(e2, e1) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | ALPHA: (16281) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | (16282) all_58_5 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | (16283) op(e2, e1) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | (16284) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | BETA: splitting (16284) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16285) all_58_9 = e1 & op(e3, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15764), (16285), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16286) all_58_10 = e1 & op(e2, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16267), (16286), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | (16287) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | BETA: splitting (16287) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16288) all_58_11 = e1 & op(e1, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | ALPHA: (16288) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16289) all_58_11 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16290) op(e1, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (223), (225), (14323),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (14324), (16275), (16289), (16290),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.74 | | | | | | | | | | | | | | | | | | #1419.
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16291) all_58_15 = e1 & op(e0, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | ALPHA: (16291) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16292) all_58_15 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16293) op(e0, e0) = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 236.84/44.74 | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (16276) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16294) all_52_6 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 236.84/44.74 | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (16283) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16295) all_52_9 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REDUCE: (126), (16294) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16296) ~ (all_52_14 = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REDUCE: (118), (16295) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16297) ~ (all_52_11 = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | SIMP: (16297) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16298) ~ (all_52_11 = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | REDUCE: (117), (16295) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | (16299) ~ (all_52_13 = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | (16300) ~ (all_34_2 = e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | REDUCE: (16265), (16300) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | (16301) $false
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | CLOSE: (16301) is inconsistent.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | (16302) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | (16303) ~ (all_46_2 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (16303) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | (16304) $false
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | CLOSE: (16304) is inconsistent.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | (16305) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | (16306) ~ (all_48_2 = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | REDUCE: (15910), (16306) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | (16307) $false
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16307) is inconsistent.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | (16308) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | (16309) all_54_8 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14314), (16309) are inconsistent by
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | (16310) ~ (all_54_8 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | (16311) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16312) all_54_4 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (16312) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16313) all_52_1 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16313) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16314) all_52_1 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (16314) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16315) ~ (all_52_3 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16315) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16316) ~ (all_52_3 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16314) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16317) ~ (all_52_13 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16317) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | (16318) ~ (all_52_13 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | (16319) all_54_7 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16318), (16319) are inconsistent by
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | (16320) ~ (all_54_7 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | (16321) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16321) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16322) all_54_7 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (16322) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16323) all_52_13 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16323) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16324) all_52_13 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16324) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16325) ~ (all_52_12 = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (16324) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16326) ~ (all_52_14 = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16326) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16327) ~ (all_52_14 = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16318), (16324) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | (16328) ~ (e3 = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (16329) all_54_11 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16329) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (16330) all_52_14 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14319), (16330) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (16331) $false
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16331) is inconsistent.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (16332) ~ (all_54_11 = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (16333) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16333) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16334) all_54_11 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16334) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16335) all_52_14 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16327), (16335) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16336) $false
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16336) is inconsistent.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16337) ~ (all_54_11 = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16338) all_54_11 = e1 | all_54_11 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16339) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16339) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16340) all_58_12 = e3 & op(e0, e3) = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16340) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16341) op(e0, e3) = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16316), (16341), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2332.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16342) all_58_13 = e3 & op(e0, e2) = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16342) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16343) op(e0, e2) = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16344) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16344) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16345) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16345) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16346) all_58_6 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16347) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16347) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16348) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16346), (16348) are inconsistent by
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1678.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16349) all_58_7 = e0 & op(e1, e2) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15913), (16349), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16350) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16350) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16351) all_58_8 = e0 & op(e1, e1) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16351) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16352) op(e1, e1) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (16352), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16353) all_58_11 = e0 & op(e1, e0) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16353) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16354) all_58_11 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16355) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16355) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16356) all_58_9 = e2 & op(e3, e0) = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (16325), (16356), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2318.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16357) all_58_10 = e2 & op(e2, e0) = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16357) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16358) all_58_10 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16359) op(e2, e0) = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16360) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16360) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16361) all_58_1 = e2 & op(e3, e2) = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16361) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16362) all_58_1 = e2
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16363) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16363) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16364) all_58_0 = e0 & op(e3, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16364) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16365) op(e3, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (168), (169),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (237), (238), (242), (15763), (15764),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15922), (16275), (16276), (16365),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1612.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16366) all_58_2 = e0 & op(e2, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15911), (16366), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1985.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16367) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16367) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16368) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16368) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16369) all_58_6 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (225), (226), (14315),
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16275), (16354), (16369), (function-axioms) are
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16370) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16370) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16371) op(e0, e3) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16338) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16372) all_54_11 = e1
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16268), (16372) are inconsistent by
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2176.
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16373) all_54_11 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16373) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16374) all_52_14 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16374) implies:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16375) all_52_14 = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (16375) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16376) ~ (all_52_2 = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (16375) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16377) ~ (all_52_12 = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16327), (16375) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16378) ~ (e2 = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16268), (16375) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16379) ~ (e1 = e0)
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (16375) imply:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16380) op(e1, e0) = e0
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16381) all_54_3 = e3
% 236.84/44.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (16381) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16382) all_52_12 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16382) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16383) all_52_12 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (16383) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16384) ~ (all_52_4 = e3)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (168), (16383) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16385) op(e3, e0) = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16386) all_54_1 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (16384), (16386) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1930.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16387) all_54_1 = e2 | all_54_1 = e1 | all_54_1 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16388) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16388) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16389) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16389) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16390) op(e0, e3) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16371), (16390), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16391) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16391) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16392) op(e0, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16343), (16392), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16393) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16393) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16394) all_58_14 = e2 & op(e0, e1) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16394) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16395) op(e0, e1) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16311) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16396) all_54_8 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16396) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16397) all_52_2 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16397) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16398) all_52_2 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (16398) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16399) ~ (all_52_3 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16399) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16400) ~ (all_52_3 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16401) all_54_12 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (16316), (16401) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16402) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16402) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16403) all_54_12 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (16400), (16403) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2264.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16404) ~ (all_54_12 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16405) all_54_12 = e1 | all_54_12 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16405) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16406) all_54_12 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (15761), (16406) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2263.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16407) all_54_12 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (257), (16407) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16408) all_52_3 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16408) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16409) all_52_3 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (16409) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16410) ~ (all_52_11 = e0)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16410) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16411) ~ (all_52_11 = e0)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16412) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16412) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16413) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16413) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16414) op(e3, e0) = all_56_25
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16415) op(e3, all_56_25) = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16302) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25, e0, e3, simplifying with (16385),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16414) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16416) all_56_25 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16415), (16416) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16417) op(e3, e3) = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15765), (16417), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16418) ~ (all_34_1 = e2) & op(e0, e1) = all_34_1 &
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16418) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16419) ~ (all_34_1 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16420) op(e0, e1) = all_34_1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16263), (16395), (16419), (16420),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2236.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16421) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16421) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16422) op(e2, e0) = all_56_27
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16423) op(e2, all_56_27) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (15922), (16308), (16359), (16422), (16423),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1059.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16424) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16424) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16425) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16425) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16426) op(e1, e0) = all_56_29
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16427) op(e1, all_56_29) = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16387) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16428) all_54_1 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (282), (16428) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16429) all_52_4 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16429) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16430) all_52_4 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (16430) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16431) ~ (all_52_8 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16431) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16432) ~ (all_52_8 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16433) all_54_2 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (16433) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16434) all_52_8 = e3
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14316), (16434) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16435) $false
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16435) is inconsistent.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16436) ~ (all_54_2 = e3)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16437) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16437) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16438) all_54_2 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (16432), (16438) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1986.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16439) ~ (all_54_2 = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16440) all_54_2 = e1 | all_54_2 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16440) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16441) all_54_2 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (15763), (16441) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1337.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16442) all_54_2 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (281), (16442) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16443) all_52_8 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16443) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16444) all_52_8 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (16380),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16426) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16445) all_56_29 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16427), (16445) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16446) op(e1, e0) = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (223), (14323), (16275), (16346),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16446), (function-axioms) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1420.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16447) all_54_1 = e1 | all_54_1 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (282), (15762), (15912), (16447) are inconsistent
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2049.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16448) all_56_30 = e0 & op(e0, all_56_31) = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16448) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16449) op(e0, all_56_31) = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16266), (16449) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16450) op(e0, e1) = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (16411), (16450), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1911.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16451) all_54_8 = e1 | all_54_8 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15760), (16376), (16451) are inconsistent
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1950.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16452) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16452) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16453) all_58_15 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (235), (237),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (15922), (16275), (16276), (16292),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16362), (16453), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #359.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16454) all_54_3 = e2 | all_54_3 = e1 | all_54_3 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (280), (15764), (16325), (16377), (16454) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2286.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16455) all_58_3 = e2 & op(e2, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16455) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16456) op(e2, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (165), (231), (234),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16282), (16283), (16359), (16456),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2119.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16457) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16457) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16458) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16458) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16459) all_58_7 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16275), (16459) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16460) e2 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16460) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16461) e2 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16358), (16461) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16462) all_58_10 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (221), (222), (16292),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16354), (16462), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1597.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16463) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16463) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16464) op(e0, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16343), (16464), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2254.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16465) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16465) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16466) all_58_11 = e2 & op(e1, e0) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16466) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16467) all_58_11 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16354), (16467) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16468) e2 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16468) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16469) e2 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16346), (16469) imply:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16470) all_58_6 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (9), (162), (225), (226), (14315),
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16275), (16354), (16470), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #960.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16471) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16471) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16472) all_58_15 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16292), (16472) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2231.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16473) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16473) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16474) all_58_7 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16275), (16474) are inconsistent by
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16475) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16475) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16476) all_58_8 = e2 & op(e1, e1) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16476) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16477) op(e1, e1) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (16477), (function-axioms) are
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16478) all_58_11 = e2 & op(e1, e0) = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16478) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16479) all_58_11 = e2
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16480) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16480) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16481) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16481) implies:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16482) op(e1, e3) = e0
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16338) gives:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16483) all_54_11 = e1
% 236.84/44.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (16268), (16483) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2176.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16484) all_54_11 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (258), (16484) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16485) all_52_14 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16485) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16486) all_52_14 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (16486) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16487) ~ (all_52_2 = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (16482), (16487), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2023.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16488) all_58_7 = e0 & op(e1, e2) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (15913), (16488), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16489) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16489) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16490) all_58_8 = e0 & op(e1, e1) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16490) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16491) op(e1, e1) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (157), (165), (169), (230), (14316), (14317),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (16491), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1010.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16492) all_58_11 = e0 & op(e1, e0) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16492) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16493) all_58_11 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16479), (16493) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2110.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16494) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16494) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16495) all_58_14 = e3 & op(e0, e1) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (14318), (16495), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16496) all_58_15 = e3 & op(e0, e0) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16496) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16497) all_58_15 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (225), (226), (14319), (15764),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16267), (16275), (16497), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16498) all_54_7 = e1 | all_54_7 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (15916), (16267), (16498) are inconsistent
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2293.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | (16499) ~ (all_54_4 = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | (16500) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (279), (16499) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | (16501) ~ (all_52_1 = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | (16502) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (15765), (16501), (16502),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | #1208.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | (16503) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16503) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16504) all_58_6 = e3 & op(e1, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16504) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16505) op(e1, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (14314), (16505), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2335.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16506) all_58_12 = e3 & op(e0, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16506) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16507) all_58_12 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | (16508) op(e0, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (16509) all_58_15 = e0 & op(e0, e0) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16509) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (16510) op(e0, e0) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16293), (16510), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (16511) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16511) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (16512) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16512) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16513) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16507), (16513) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1641.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16514) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16514) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16515) all_58_13 = e0 & op(e0, e2) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16515) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16516) all_58_13 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16517) op(e0, e2) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (237), (238), (15921),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16275), (16516), (16517), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1375.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16518) all_58_14 = e0 & op(e0, e1) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16518) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16519) op(e0, e1) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16500) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16520) all_54_4 = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (16520) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16521) all_52_1 = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16521) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16522) all_52_1 = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (16522) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16523) ~ (all_52_2 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16523) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16524) ~ (all_52_2 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (16522) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16525) ~ (all_52_3 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16525) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16526) ~ (all_52_3 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (16522) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16527) ~ (all_52_13 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16527) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16528) ~ (all_52_13 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (16522) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16529) op(e2, e3) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16530) all_54_7 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (269), (16530) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16531) all_52_13 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (16531) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532) ~ (all_52_12 = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (16531) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16533) ~ (all_52_14 = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16534) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16534) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16535) all_58_0 = e3 & op(e3, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16535) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16536) op(e3, e3) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (15765), (16536), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16537) all_58_1 = e3 & op(e3, e2) = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16537) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16538) all_58_1 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16539) (all_58_12 = e2 & op(e0, e3) = e2) | (all_58_13 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16539) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16540) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (16526), (16540), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2315.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16541) all_58_13 = e2 & op(e0, e2) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16541) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16542) op(e0, e2) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16311) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16543) all_54_8 = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (16524), (16543) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2007.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16544) ~ (all_54_8 = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16545) all_54_8 = e1 | all_54_8 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16545) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16546) all_54_8 = e1
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (15760), (16546) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1951.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16547) all_54_8 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (268), (16547) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16548) all_52_2 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16548) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16549) all_52_2 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (16549) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16550) ~ (all_52_14 = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (16550) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16551) ~ (all_52_14 = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16524), (16549) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16552) ~ (e2 = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15760), (16549) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16553) ~ (e1 = e0)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (16549) imply:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16554) op(e1, e3) = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (14311) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16555) ~ (all_6_0 = e2) & op(all_6_1, e1) = all_6_0 &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_6_1 & $i(all_6_0) & $i(all_6_1)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16555) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16556) op(e1, e3) = all_6_1
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16557) all_54_11 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14319), (16557) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16558) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16305) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16559) ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0 &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16559) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16560) op(e1, e3) = all_46_1
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (112), (120), (121), (160), (162),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (190), (201), (202), (214), (235), (255),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (280), (281), (14316), (14318), (15758),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15763), (15764), (16263), (16268), (16276),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16298), (16302), (16508), (16519), (16529),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (16538), (16542), (16551), (16554),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16556), (16558), (16560), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #356.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16561) ~ (all_46_1 = e2) & op(e1, e3) = all_46_1 &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16561) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16562) op(e1, e3) = all_46_1
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (112), (120), (121), (160), (162),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (190), (201), (202), (214), (235), (255),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (280), (281), (14316), (14318), (15758),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15763), (15764), (16263), (16268), (16276),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16298), (16302), (16508), (16519), (16529),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16532), (16538), (16542), (16551), (16554),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16556), (16558), (16562), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #356.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16563) ~ (all_6_1 = e0) & op(e1, e3) = all_6_1 &
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_6_1)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16305), (16554), (16563), (function-axioms) are
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #443.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16564) (all_58_14 = e2 & op(e0, e1) = e2) | (all_58_15 =
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16564) gives:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16565) all_58_14 = e2 & op(e0, e1) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16565) implies:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16566) all_58_14 = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (7), (8), (9), (237), (238), (15921),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16275), (16507), (16512), (16566),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1067.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16567) all_58_15 = e2 & op(e0, e0) = e2
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16292), (16567) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1917.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16568) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (169), (14316), (16532), (16568),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1515.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16569) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (269), (15916), (16267), (16529),
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16569), (function-axioms) are inconsistent by
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2292.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16570) all_54_4 = e1 | all_54_4 = e0
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (15759), (15911), (16570) are inconsistent
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1922.
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | (16571) all_58_10 = e1 & op(e2, e0) = e1
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (16267), (16571), (function-axioms) are
% 236.84/44.77 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | (16572) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.84/44.77 | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | REF_CLOSE: (8), (160), (14323), (16268), (16572),
% 236.84/44.77 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | | | | | #367.
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | (16573) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 236.84/44.77 | | | | | | | | | | e0 & op(e0, e2) = e0)
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | REF_CLOSE: (158), (162), (15913), (15914), (16573),
% 236.84/44.77 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | | #1990.
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | End of split
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | (16574) all_12_2 = e3
% 236.84/44.77 | | | | | | | | (16575) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0 &
% 236.84/44.77 | | | | | | | | op(e0, e3) = all_12_1 & $i(all_12_0) &
% 236.84/44.77 | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3) =
% 236.84/44.77 | | | | | | | | all_12_1 & $i(all_12_1))
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | COMBINE_EQS: (346), (16574) imply:
% 236.84/44.77 | | | | | | | | (16576) all_4_2 = e3
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | COMBINE_EQS: (334), (16576) imply:
% 236.84/44.77 | | | | | | | | (16577) all_26_2 = e3
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | COMBINE_EQS: (254), (16576) imply:
% 236.84/44.77 | | | | | | | | (16578) all_56_31 = e3
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | REDUCE: (368), (16576) imply:
% 236.84/44.77 | | | | | | | | (16579) ~ (all_52_3 = e3)
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | REDUCE: (387), (16576) imply:
% 236.84/44.77 | | | | | | | | (16580) ~ (all_52_12 = e3)
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | REDUCE: (388), (16576) imply:
% 236.84/44.77 | | | | | | | | (16581) ~ (all_52_13 = e3)
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | BETA: splitting (222) gives:
% 236.84/44.77 | | | | | | | |
% 236.84/44.77 | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | | (16582) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 = e3
% 236.84/44.77 | | | | | | | | | & op(e2, e0) = e3)
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | | REF_CLOSE: (164), (168), (16580), (16581), (16582),
% 236.84/44.77 | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | #1592.
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | | (16583) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 236.84/44.77 | | | | | | | | | e3 & op(e0, e0) = e3)
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | | BETA: splitting (16583) gives:
% 236.84/44.77 | | | | | | | | |
% 236.84/44.77 | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | (16584) all_58_11 = e3 & op(e1, e0) = e3
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | ALPHA: (16584) implies:
% 236.84/44.77 | | | | | | | | | | (16585) op(e1, e0) = e3
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | REF_CLOSE: (160), (14319), (16585), (function-axioms) are
% 236.84/44.77 | | | | | | | | | | inconsistent by sub-proof #2149.
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | (16586) all_58_15 = e3 & op(e0, e0) = e3
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | ALPHA: (16586) implies:
% 236.84/44.77 | | | | | | | | | | (16587) all_58_15 = e3
% 236.84/44.77 | | | | | | | | | | (16588) op(e0, e0) = e3
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | BETA: splitting (245) gives:
% 236.84/44.77 | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | (16589) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 236.84/44.77 | | | | | | | | | | | & op(e2, e3) = e3)
% 236.84/44.77 | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | BETA: splitting (16589) gives:
% 236.84/44.77 | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | (16590) all_58_0 = e3 & op(e3, e3) = e3
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | ALPHA: (16590) implies:
% 236.84/44.77 | | | | | | | | | | | | (16591) op(e3, e3) = e3
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | REF_CLOSE: (8), (15765), (16591), (function-axioms) are
% 236.84/44.77 | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | (16592) all_58_2 = e3 & op(e2, e3) = e3
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | ALPHA: (16592) implies:
% 236.84/44.77 | | | | | | | | | | | | (16593) all_58_2 = e3
% 236.84/44.77 | | | | | | | | | | | | (16594) op(e2, e3) = e3
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | BETA: splitting (246) gives:
% 236.84/44.77 | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | (16595) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 236.84/44.77 | | | | | | | | | | | | | & op(e3, e2) = e3)
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | BETA: splitting (16595) gives:
% 236.84/44.77 | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | (16596) all_58_0 = e3 & op(e3, e3) = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | ALPHA: (16596) implies:
% 236.84/44.77 | | | | | | | | | | | | | | (16597) op(e3, e3) = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REF_CLOSE: (8), (15765), (16597), (function-axioms) are
% 236.84/44.77 | | | | | | | | | | | | | | inconsistent by sub-proof #1578.
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | (16598) all_58_1 = e3 & op(e3, e2) = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | ALPHA: (16598) implies:
% 236.84/44.77 | | | | | | | | | | | | | | (16599) op(e3, e2) = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1, e3,
% 236.84/44.77 | | | | | | | | | | | | | | e3, e2, simplifying with (167), (16594) gives:
% 236.84/44.77 | | | | | | | | | | | | | | (16600) all_52_1 = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_4, e3,
% 236.84/44.77 | | | | | | | | | | | | | | e2, e3, simplifying with (170), (16599) gives:
% 236.84/44.77 | | | | | | | | | | | | | | (16601) all_52_4 = e3
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (149), (16600) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16602) ~ (all_52_2 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (148), (16600) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16603) ~ (all_52_3 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (146), (16600) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16604) ~ (all_52_9 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (145), (16600) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16605) ~ (all_52_13 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (136), (16601) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16606) ~ (all_52_6 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (134), (16601) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16607) ~ (all_52_8 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | REDUCE: (369), (16601) imply:
% 236.84/44.77 | | | | | | | | | | | | | | (16608) ~ (all_8_2 = e3)
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 236.84/44.77 | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | (16609) ~ (all_14_2 = e0)
% 236.84/44.77 | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | REDUCE: (344), (16609) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | (16610) ~ (all_8_2 = e0)
% 236.84/44.77 | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 236.84/44.77 | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | (16611) ~ (all_22_2 = e1)
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | REDUCE: (326), (16611) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | (16612) ~ (all_8_2 = e1)
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | (16613) all_54_5 = e3
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16613) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | (16614) all_8_2 = e3
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | REDUCE: (14325), (16614) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | (16615) $false
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | CLOSE: (16615) is inconsistent.
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | (16616) ~ (all_54_5 = e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | (16617) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | BETA: splitting (16617) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16618) all_54_5 = e2
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (275), (16618) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16619) all_8_2 = e2
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (16619) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16620) all_56_11 = e2
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | REDUCE: (373), (16619) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16621) ~ (all_52_7 = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | REDUCE: (375), (16619) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16622) ~ (all_52_9 = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | REDUCE: (14325), (16619) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16623) ~ (e3 = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | REDUCE: (42), (16619) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | (16624) op(e2, e2) = e2
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (16625) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (16625) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (16626) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (163), (14314), (16599), (16620), (16626),
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | #430.
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (16627) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (169), (15763), (16578), (16579), (16627),
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | #1411.
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (16628) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | BETA: splitting (16628) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (16629) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (165), (16620), (16621), (16622), (16629),
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | #2325.
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (16630) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16630) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | (16631) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | ALPHA: (16631) implies:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | (16632) ~ (all_56_11 = e2)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16620), (16632) imply:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | (16633) $false
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16633) is inconsistent.
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | (16634) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16634) gives:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | (16635) all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e1, e0) = e1 & op(e0,
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | e1) = e1
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16635) implies:
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | (16636) ~ (all_56_31 = e0)
% 236.84/44.77 | | | | | | | | | | | | | | | | | | | | | | (16637) ~ (all_56_11 = e0)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16638) ~ (all_56_1 = e0)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16639) op(e0, e1) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16640) op(e1, e0) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (16639) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16641) all_52_11 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (16640) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16642) all_52_14 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (16641) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16643) ~ (all_52_7 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (16642) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16644) ~ (all_52_13 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14319), (16642) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16645) ~ (e3 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | (16646) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16646) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16647) all_58_1 = e1 & op(e3, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16647) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16648) op(e3, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16599), (16648), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2265.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16649) all_58_3 = e1 & op(e2, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16649) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16650) op(e2, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16624), (16650), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2235.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | (16651) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16651) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16652) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16652) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16653) all_58_7 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (220), (223), (225), (226), (14319), (15764),
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16587), (16644), (16653), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16654) all_58_13 = e1 & op(e0, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (16643), (16654), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16655) all_56_23 = e0 & all_56_29 = e0 & ~ (all_56_1 =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e1, e0) = e0 & op(e0,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | e1) = e0
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16655) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16656) ~ (all_56_1 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15758), (16656) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16657) $false
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16657) is inconsistent.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | (16658) all_54_5 = e1 | all_54_5 = e0
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (275), (16610), (16612), (16658) are inconsistent
% 236.84/44.78 | | | | | | | | | | | | | | | | | | by sub-proof #2300.
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | (16659) all_22_2 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (16659) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16660) all_8_2 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (16660) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16661) all_56_11 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | REDUCE: (375), (16660) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16662) ~ (all_52_9 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | REDUCE: (377), (16660) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16663) ~ (all_52_13 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | REDUCE: (14325), (16660) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16664) ~ (e3 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | REDUCE: (42), (16660) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | (16665) op(e2, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | (16666) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (165), (169), (15763), (16662), (16666),
% 236.84/44.78 | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.78 | | | | | | | | | | | | | | | | | #1211.
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | (16667) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 236.84/44.78 | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | BETA: splitting (16667) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | (16668) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (16668) are inconsistent by
% 236.84/44.78 | | | | | | | | | | | | | | | | | | sub-proof #406.
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | (16669) all_58_14 = e1 & op(e0, e1) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | ALPHA: (16669) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | (16670) op(e0, e1) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | (16671) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_7 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (16671) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16672) all_58_6 = e1 & op(e1, e3) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (16672) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16673) op(e1, e3) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15760), (16673), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16674) all_58_7 = e1 & op(e1, e2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (16674) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16675) all_58_7 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (164), (168),
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (220), (223), (225), (226), (14319), (15764),
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16587), (16663), (16675), (function-axioms) are
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #358.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | (16676) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_11 =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | e1 & op(e1, e0) = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (16676) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16677) all_58_8 = e1 & op(e1, e1) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14323), (16677) are inconsistent by
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | sub-proof #406.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16678) all_58_11 = e1 & op(e1, e0) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | ALPHA: (16678) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16679) all_58_11 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16680) op(e1, e0) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (16670) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16681) all_52_11 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_14,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | e1, e0, e1, simplifying with (160), (16680) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16682) all_52_14 = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (16682) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | (16683) ~ (all_52_6 = e1)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | (16684) ~ (all_26_2 = e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16577), (16684) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | (16685) $false
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16685) is inconsistent.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | (16686) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16687) ~ (all_46_2 = e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (16687) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16688) $false
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16688) is inconsistent.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | (16689) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | (16690) all_54_2 = e3
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (281), (14316), (16690) are inconsistent by
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1987.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | (16691) ~ (all_54_2 = e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | (16692) all_54_2 = e2 | all_54_2 = e1 | all_54_2 = e0
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | (16693) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16693) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | (16694) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16694) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | (16695) op(e3, e1) = all_56_17
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | (16696) op(e3, all_56_17) = e3
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (169), (16695)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | (16697) all_56_17 = all_52_8
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16696), (16697) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | (16698) op(e3, all_52_8) = e3
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (16699) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (14316), (15758), (16594), (16699),
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (16700) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16700) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16701) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16701) implies:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16702) op(e1, e3) = all_56_5
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16703) op(e1, all_56_5) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (16702)
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16704) all_56_5 = all_52_2
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16703), (16704) imply:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16705) op(e1, all_52_2) = e1
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16706) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15765), (16594), (16706),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16707) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16707) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16708) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16708) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16709) all_58_6 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16710) op(e1, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (157), (162),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (223), (230), (235), (237),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (16599), (16610),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665), (16680), (16683), (16705), (16709),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16710), (function-axioms) are inconsistent by
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #399.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16711) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16711) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16712) op(e0, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16713) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15765), (16593), (16713),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16714) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16714) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16715) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16715) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16716) op(e1, e3) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16717) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16717) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16718) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16718) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16719) all_58_6 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16720) op(e1, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (157), (162),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (223), (230), (235), (237),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (16599), (16610),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665), (16680), (16683), (16705), (16719),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16720), (function-axioms) are inconsistent by
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #399.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16721) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (117), (123),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (165), (197), (212), (221), (223),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (235), (269), (281), (14311),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14319), (15763), (15765), (16575),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16581), (16588), (16599), (16610), (16661),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16662), (16663), (16679), (16680), (16686),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16689), (16692), (16698), (16712), (16716),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16721), (function-axioms) are inconsistent by
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16722) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (16680), (16722),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16723) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16723) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16724) op(e0, e3) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16712), (16724), (function-axioms) are
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16725) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16725) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16726) op(e0, e3) = all_56_7
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16727) op(e0, all_56_7) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (16726)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16728) all_56_7 = all_52_3
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16727), (16728) imply:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16729) op(e0, all_52_3) = e0
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16730) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15765), (16594), (16730),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16731) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16731) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16732) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16732) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16733) all_58_6 = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (159), (162), (165), (169),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (230), (239), (14315), (14316), (14317),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (15765), (16588), (16593), (16680),
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16729), (16733), (function-axioms) are
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #396.
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16734) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16734) implies:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16735) op(e0, e3) = e2
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16736) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15765), (16593), (16736),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16737) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16737) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16738) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16738) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16739) op(e1, e3) = e0
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16740) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16740) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16741) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16741) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16742) all_58_6 = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (159), (162), (165), (169),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (230), (239), (14315), (14316), (14317),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (15765), (16588), (16593), (16680),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16729), (16742), (function-axioms) are
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #396.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16743) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (117), (123),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (164), (165), (197), (212), (221), (223),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (235), (269), (281), (14311),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14319), (15763), (15765), (16575),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16581), (16588), (16599), (16610), (16661),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16662), (16663), (16679), (16680), (16686),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16689), (16692), (16698), (16735), (16739),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16743), (function-axioms) are inconsistent by
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #351.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16744) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (16680), (16744),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16745) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16745) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16746) op(e0, e3) = e0
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16735), (16746), (function-axioms) are
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | (16747) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16747) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | (16748) op(e2, e1) = all_56_19
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | (16749) op(e2, all_56_19) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9,
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19, e1, e2, simplifying with (165), (16748)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | (16750) all_56_19 = all_52_9
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16749), (16750) imply:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | (16751) op(e2, all_52_9) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (16752) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (169), (14316), (15758), (16594), (16752),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | #1210.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | (16753) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16753) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16754) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16754) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16755) op(e1, e3) = all_56_5
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16756) op(e1, all_56_5) = e1
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (16755)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16757) all_56_5 = all_52_2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16756), (16757) imply:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16758) op(e1, all_52_2) = e1
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16759) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15765), (16594), (16759),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16760) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16760) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16761) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16761) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16762) all_58_6 = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16763) op(e1, e3) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (157), (162),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (223), (230), (235), (237),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (16599), (16610),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665), (16680), (16683), (16758), (16762),
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16763), (function-axioms) are inconsistent by
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #399.
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16764) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16764) implies:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16765) op(e0, e3) = e2
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16766) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16766) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16767) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16767) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16768) all_58_6 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16769) op(e1, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (42), (157), (162),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (165), (169), (223), (230), (235), (237),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (16599), (16610),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16665), (16680), (16683), (16758), (16768),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16769), (function-axioms) are inconsistent by
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #399.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16770) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (160), (165),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (223), (225), (226), (235), (14319),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15765), (16575), (16588), (16599), (16610),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16661), (16662), (16665), (16679), (16680),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16686), (16751), (16765), (16770),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #350.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16771) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (16680), (16771),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16772) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16772) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16773) op(e0, e3) = all_56_7
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16774) op(e0, all_56_7) = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3,
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7, e3, e0, simplifying with (159), (16773)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16775) all_56_7 = all_52_3
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16774), (16775) imply:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16776) op(e0, all_52_3) = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16777) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15765), (16594), (16777),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16778) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16778) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16779) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16779) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16780) all_58_6 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (157), (159), (162), (165), (169),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (230), (239), (14315), (14316), (14317),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14318), (15765), (16588), (16593), (16680),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16776), (16780), (function-axioms) are
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #396.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16781) all_58_12 = e2 & op(e0, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16781) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16782) op(e0, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16783) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_2 = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e0)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (15765), (16593), (16783),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1222.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16784) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_12 =
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e3) = e0)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16784) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16785) all_58_6 = e0 & op(e1, e3) = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16785) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16786) all_58_6 = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16787) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16787) gives:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16788) all_58_6 = e2 & op(e1, e3) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16788) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16789) all_58_6 = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16786), (16789) are inconsistent by
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16790) all_58_7 = e2 & op(e1, e2) = e2
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (42), (160), (165),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (223), (225), (226), (235), (14319),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (15765), (16575), (16588), (16599), (16610),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16661), (16662), (16665), (16679), (16680),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16686), (16751), (16782), (16790),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #350.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16791) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (14324), (16680), (16791),
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #398.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16792) all_58_12 = e0 & op(e0, e3) = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16792) implies:
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16793) op(e0, e3) = e0
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16782), (16793), (function-axioms) are
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 236.84/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | (16794) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16794) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | (16795) all_56_20 = e1 & op(e1, all_56_21) = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16795) implies:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | (16796) op(e1, all_56_21) = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (16796) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | (16797) op(e1, e3) = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (15760), (16797), (function-axioms) are
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | (16798) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16588), (16670), (16798), (function-axioms)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #349.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | (16799) all_14_2 = e0
% 237.14/44.82 | | | | | | | | | | | | | | | (16800) ( ~ (all_14_0 = e3) & op(all_14_1, e2) = all_14_0
% 237.14/44.82 | | | | | | | | | | | | | | | & op(e2, e0) = all_14_1 & $i(all_14_0) &
% 237.14/44.82 | | | | | | | | | | | | | | | $i(all_14_1)) | ( ~ (all_14_1 = e1) & op(e2, e0)
% 237.14/44.82 | | | | | | | | | | | | | | | = all_14_1 & $i(all_14_1))
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | COMBINE_EQS: (344), (16799) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16801) all_8_2 = e0
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | SIMP: (16801) implies:
% 237.14/44.82 | | | | | | | | | | | | | | | (16802) all_8_2 = e0
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | COMBINE_EQS: (311), (16802) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16803) all_48_2 = e0
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | REDUCE: (371), (16802) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16804) ~ (all_52_6 = e0)
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | REDUCE: (375), (16802) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16805) ~ (all_52_9 = e0)
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | REDUCE: (377), (16802) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16806) ~ (all_52_13 = e0)
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | REDUCE: (14325), (16802) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | (16807) ~ (e3 = e0)
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 237.14/44.82 | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | (16808) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 237.14/44.82 | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 237.14/44.82 | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | BETA: splitting (16808) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | (16809) all_58_2 = e0 & op(e2, e3) = e0
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16593), (16809) are inconsistent by
% 237.14/44.82 | | | | | | | | | | | | | | | | | sub-proof #1351.
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | (16810) all_58_3 = e0 & op(e2, e2) = e0
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | ALPHA: (16810) implies:
% 237.14/44.82 | | | | | | | | | | | | | | | | | (16811) all_58_3 = e0
% 237.14/44.82 | | | | | | | | | | | | | | | | | (16812) op(e2, e2) = e0
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | (16813) ~ (all_38_2 = e1)
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | REDUCE: (15757), (16813) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | (16814) $false
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | CLOSE: (16814) is inconsistent.
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | (16815) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 237.14/44.82 | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 237.14/44.82 | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | (16816) ~ (all_46_2 = e3)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | REDUCE: (14312), (16816) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | (16817) $false
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | CLOSE: (16817) is inconsistent.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | (16818) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | (16819) ~ (all_48_2 = e0)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (16803), (16819) imply:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | (16820) $false
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | CLOSE: (16820) is inconsistent.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | (16821) ( ~ (all_48_0 = e1) & op(all_48_1, e2) = all_48_0
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = all_48_1 & $i(all_48_0) &
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | $i(all_48_1)) | ( ~ (all_48_1 = e3) & op(e2, e0)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | = all_48_1 & $i(all_48_1))
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | (16822) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16822) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | (16823) all_58_2 = e1 & op(e2, e3) = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (15759), (16823), (function-axioms) are
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | (16824) all_58_3 = e1 & op(e2, e2) = e1
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16811), (16824) are inconsistent by
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | | sub-proof #1752.
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | (16825) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16825) gives:
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | (16826) all_58_5 = e1 & op(e2, e1) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16826) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | (16827) all_58_5 = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | (16828) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (16594), (16812), (16828),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | #1509.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | (16829) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16829) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | (16830) all_58_5 = e2 & op(e2, e1) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16830) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | (16831) all_58_5 = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16827), (16831) are inconsistent by
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1665.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | (16832) all_58_10 = e2 & op(e2, e0) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16832) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | (16833) op(e2, e0) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | (16834) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16834) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16835) all_58_9 = e1 & op(e3, e0) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (15764), (16835), (function-axioms) are
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2278.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16836) all_58_10 = e1 & op(e2, e0) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16836) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16837) all_58_10 = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16838) op(e2, e0) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (163),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (169), (170), (211), (216),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (227), (228), (230), (233),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (242), (243), (244),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (14313), (14316), (14317), (14318),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (14323), (15756), (15760), (15762), (15763),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (15764), (15765), (16587), (16588), (16594),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16599), (16800), (16805), (16811), (16812),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16815), (16818), (16821), (16837), (16838),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | #345.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | (16839) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16839) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16840) all_58_11 = e1 & op(e1, e0) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16840) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16841) all_58_11 = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (16842) op(e1, e0) = e1
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16843) all_58_15 = e0 & op(e0, e0) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16843) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16844) op(e0, e0) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16588), (16844), (function-axioms) are
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2079.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16845) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16845) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16846) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16847) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16847) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16848) all_58_6 = e0 & op(e1, e3) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16848) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16849) all_58_6 = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16850) op(e1, e3) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16851) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (15765), (16594), (16851),
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #355.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16852) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16852) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16853) all_58_6 = e2 & op(e1, e3) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16853) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16854) all_58_6 = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16849), (16854) are inconsistent by
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1982.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16855) all_58_12 = e2 & op(e0, e3) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16855) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16856) op(e0, e3) = e2
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16846) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16857) all_58_9 = e0 & op(e3, e0) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16857) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16858) op(e3, e0) = e0
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16859) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16859) gives:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16860) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16860) implies:
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16861) op(e3, e0) = all_56_25
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16862) op(e3, all_56_25) = e3
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16858), (16861), (16862), (function-axioms)
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1926.
% 237.14/44.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16863) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16863) implies:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16864) op(e2, e0) = all_56_27
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16865) op(e2, all_56_27) = e2
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (16812), (16821), (16833), (16864), (16865),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1059.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16866) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (225),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (14315), (14323), (14324), (16578),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16818), (16841), (16842), (16850), (16856),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16866), (function-axioms) are inconsistent by
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #344.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16867) (all_58_10 = e0 & op(e2, e0) = e0) | (all_58_11 =
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (16833), (16842), (16867),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2102.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16868) all_58_7 = e0 & op(e1, e2) = e0
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (16804), (16868), (function-axioms) are
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2022.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16869) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (157), (165), (169), (230), (14316),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (16842), (16869),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #400.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (16870) all_58_15 = e1 & op(e0, e0) = e1
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (16587), (16870) are inconsistent by
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1393.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (16871) all_58_10 = e1 & op(e2, e0) = e1
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16871) implies:
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (16872) all_58_10 = e1
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (16873) op(e2, e0) = e1
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (162), (163),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (164), (165), (168), (169), (170), (211), (216),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (221), (222), (224), (227), (228), (230), (233),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (242), (243), (244),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (246), (14313), (14316), (14317), (14318),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (14323), (15756), (15760), (15762), (15763),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (15764), (15765), (16587), (16588), (16594),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (16599), (16800), (16805), (16811), (16812),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (16815), (16818), (16821), (16872), (16873),
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | | #345.
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | (16874) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 237.14/44.84 | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 237.14/44.84 | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (165), (16805), (16806), (16874),
% 237.14/44.84 | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | | | | #1991.
% 237.14/44.84 | | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | (16875) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 237.14/44.84 | | | | | | | | | | | | | & op(e3, e0) = e3)
% 237.14/44.84 | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | | REF_CLOSE: (168), (169), (14316), (16580), (16875),
% 237.14/44.84 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | | | #1515.
% 237.14/44.84 | | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | Case 2:
% 237.14/44.84 | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | (16876) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 237.14/44.84 | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 237.14/44.84 | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | | REF_CLOSE: (159), (163), (14314), (16579), (16876),
% 237.14/44.84 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.14/44.84 | | | | | | | | | | | #1451.
% 237.14/44.84 | | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | | |
% 237.14/44.84 | | | | | | | | | End of split
% 237.14/44.84 | | | | | | | | |
% 237.14/44.84 | | | | | | | | End of split
% 237.14/44.84 | | | | | | | |
% 237.14/44.84 | | | | | | | End of split
% 237.14/44.84 | | | | | | |
% 237.14/44.84 | | | | | | End of split
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | Case 2:
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | (16877) all_8_2 = e3
% 237.14/44.84 | | | | | | (16878) ( ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 & op(e2,
% 237.14/44.84 | | | | | | e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)) | ( ~
% 237.14/44.84 | | | | | | (all_8_1 = e0) & op(e2, e3) = all_8_1 & $i(all_8_1))
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | COMBINE_EQS: (320), (16877) imply:
% 237.14/44.84 | | | | | | (16879) all_42_2 = e3
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | COMBINE_EQS: (353), (16877) imply:
% 237.14/44.84 | | | | | | (16880) all_56_11 = e3
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | REDUCE: (366), (16877) imply:
% 237.14/44.84 | | | | | | (16881) ~ (all_52_1 = e3)
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | REDUCE: (369), (16877) imply:
% 237.14/44.84 | | | | | | (16882) ~ (all_52_4 = e3)
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | REDUCE: (373), (16877) imply:
% 237.14/44.84 | | | | | | (16883) ~ (all_52_7 = e3)
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | REDUCE: (377), (16877) imply:
% 237.14/44.84 | | | | | | (16884) ~ (all_52_13 = e3)
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | BETA: splitting (234) gives:
% 237.14/44.84 | | | | | |
% 237.14/44.84 | | | | | | Case 1:
% 237.14/44.84 | | | | | | |
% 237.14/44.84 | | | | | | | (16885) (all_58_2 = e3 & op(e2, e3) = e3) | (all_58_3 = e3 &
% 237.14/44.84 | | | | | | | op(e2, e2) = e3)
% 237.14/44.84 | | | | | | |
% 237.14/44.84 | | | | | | | BETA: splitting (16885) gives:
% 237.14/44.84 | | | | | | |
% 237.14/44.84 | | | | | | | Case 1:
% 237.14/44.84 | | | | | | | |
% 237.14/44.84 | | | | | | | | (16886) all_58_2 = e3 & op(e2, e3) = e3
% 237.14/44.84 | | | | | | | |
% 237.14/44.84 | | | | | | | | ALPHA: (16886) implies:
% 237.14/44.84 | | | | | | | | (16887) op(e2, e3) = e3
% 237.14/44.84 | | | | | | | |
% 237.14/44.84 | | | | | | | | REF_CLOSE: (167), (16881), (16887), (function-axioms) are
% 237.14/44.84 | | | | | | | | inconsistent by sub-proof #2337.
% 237.14/44.85 | | | | | | | |
% 237.14/44.85 | | | | | | | Case 2:
% 237.14/44.85 | | | | | | | |
% 237.14/44.85 | | | | | | | | (16888) all_58_3 = e3 & op(e2, e2) = e3
% 237.14/44.85 | | | | | | | |
% 237.14/44.85 | | | | | | | | ALPHA: (16888) implies:
% 237.14/44.85 | | | | | | | | (16889) all_58_3 = e3
% 237.14/44.85 | | | | | | | | (16890) op(e2, e2) = e3
% 237.14/44.85 | | | | | | | |
% 237.14/44.85 | | | | | | | | BETA: splitting (46) gives:
% 237.14/44.85 | | | | | | | |
% 237.14/44.85 | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | |
% 237.14/44.85 | | | | | | | | | (16891) ~ (all_10_2 = e1)
% 237.14/44.85 | | | | | | | | |
% 237.14/44.85 | | | | | | | | | BETA: splitting (49) gives:
% 237.14/44.85 | | | | | | | | |
% 237.14/44.85 | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | (16892) ~ (all_12_2 = e3)
% 237.14/44.85 | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | REDUCE: (346), (16892) imply:
% 237.14/44.85 | | | | | | | | | | (16893) ~ (all_4_2 = e3)
% 237.14/44.85 | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | BETA: splitting (222) gives:
% 237.14/44.85 | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | (16894) (all_58_9 = e3 & op(e3, e0) = e3) | (all_58_10 =
% 237.14/44.85 | | | | | | | | | | | e3 & op(e2, e0) = e3)
% 237.14/44.85 | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | BETA: splitting (16894) gives:
% 237.14/44.85 | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | (16895) all_58_9 = e3 & op(e3, e0) = e3
% 237.14/44.85 | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | ALPHA: (16895) implies:
% 237.14/44.85 | | | | | | | | | | | | (16896) all_58_9 = e3
% 237.14/44.85 | | | | | | | | | | | | (16897) op(e3, e0) = e3
% 237.14/44.85 | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | BETA: splitting (219) gives:
% 237.14/44.85 | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | (16898) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 237.14/44.85 | | | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 237.14/44.85 | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | BETA: splitting (16898) gives:
% 237.14/44.85 | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | (16899) all_58_12 = e3 & op(e0, e3) = e3
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | ALPHA: (16899) implies:
% 237.14/44.85 | | | | | | | | | | | | | | (16900) all_58_12 = e3
% 237.14/44.85 | | | | | | | | | | | | | | (16901) op(e0, e3) = e3
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 237.14/44.85 | | | | | | | | | | | | | | e3, e0, simplifying with (159), (16901) gives:
% 237.14/44.85 | | | | | | | | | | | | | | (16902) all_52_3 = e3
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 237.14/44.85 | | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (16897) gives:
% 237.14/44.85 | | | | | | | | | | | | | | (16903) all_52_12 = e3
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (140), (16902) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16904) ~ (all_52_7 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (139), (16902) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16905) ~ (all_52_11 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (113), (16903) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16906) ~ (all_52_13 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (112), (16903) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16907) ~ (all_52_14 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (365), (16903) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16908) ~ (all_10_2 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | SIMP: (16908) implies:
% 237.14/44.85 | | | | | | | | | | | | | | (16909) ~ (all_10_2 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | REDUCE: (387), (16903) imply:
% 237.14/44.85 | | | | | | | | | | | | | | (16910) ~ (all_4_2 = e3)
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 237.14/44.85 | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | (16911) ~ (all_16_2 = e0)
% 237.14/44.85 | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | REDUCE: (342), (16911) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | (16912) ~ (all_10_2 = e0)
% 237.14/44.85 | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 237.14/44.85 | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | (16913) all_54_0 = e3
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (16913) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | (16914) all_10_2 = e3
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | REDUCE: (16909), (16914) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | (16915) $false
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | CLOSE: (16915) is inconsistent.
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | Case 2:
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | (16916) ~ (all_54_0 = e3)
% 237.14/44.85 | | | | | | | | | | | | | | | | (16917) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | BETA: splitting (16917) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16918) all_54_0 = e2
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (16918) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16919) all_10_2 = e2
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (16919) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16920) all_56_1 = e2
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | REDUCE: (355), (16919) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16921) ~ (all_52_1 = e2)
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | REDUCE: (16909), (16919) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16922) ~ (e3 = e2)
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | REDUCE: (45), (16919) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | (16923) op(e3, e3) = e2
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | (16924) ~ (all_20_2 = e1)
% 237.14/44.85 | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | REDUCE: (341), (16924) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | (16925) ~ (all_4_2 = e1)
% 237.14/44.85 | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | (16926) all_54_15 = e3
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (16893), (16926) are inconsistent by
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | sub-proof #2340.
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | (16927) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (16927) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | (16928) all_54_15 = e2
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (16928) are inconsistent by
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | sub-proof #2339.
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | (16929) all_54_15 = e1 | all_54_15 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (16929) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16930) all_54_15 = e1
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (16925), (16930) are inconsistent by
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | sub-proof #2338.
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16931) all_54_15 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (16931) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16932) all_4_2 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | SIMP: (16932) implies:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16933) all_4_2 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (16933) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16934) all_56_31 = e0
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (16933) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16935) ~ (all_52_13 = e0)
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (389), (16933) imply:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | (16936) ~ (all_52_14 = e0)
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | (16937) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.14/44.85 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16937) gives:
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.14/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (16938) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14314), (16881), (16921), (16938),
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | #2333.
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (16939) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14313), (16934), (16939) are inconsistent by
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #342.
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (16940) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16940) gives:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (16941) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16941) gives:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (16942) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16942) implies:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (16943) op(e1, e2) = e2
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (16944) op(e2, e1) = e2
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (117), (126), (162), (165), (193), (197),
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (258), (269), (14319), (16884), (16935), (16936),
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (16943), (16944), (function-axioms) are
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | (16945) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16920), (16934), (16945) are inconsistent by
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1731.
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (16946) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (16934), (16935), (16936), (16946),
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | | #2321.
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16947) all_20_2 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16948) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 237.49/44.86 | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 237.49/44.86 | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (16947) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16949) all_4_2 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | SIMP: (16949) implies:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16950) all_4_2 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16951) all_34_2 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16952) all_56_31 = e1
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (379), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16953) ~ (all_52_7 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (386), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16954) ~ (all_52_11 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (388), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16955) ~ (all_52_13 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (389), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16956) ~ (all_52_14 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (16893), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16957) ~ (e3 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (390), (16950) imply:
% 237.49/44.86 | | | | | | | | | | | | | | | | | | (16958) ~ (e2 = e1)
% 237.49/44.86 | | | | | | | | | | | | | | | | | |
% 237.49/44.86 | | | | | | | | | | | | | | | | | | REDUCE: (36), (16950) imply:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | (16959) op(e0, e0) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | (16960) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | (222), (16884), (16955), (16959), (16960),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | #878.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | (16961) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (16961) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | (16962) all_58_11 = e1 & op(e1, e0) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (16962) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | (16963) op(e1, e0) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (16956), (16963), (function-axioms) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2304.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | (16964) all_58_15 = e1 & op(e0, e0) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | ALPHA: (16964) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | (16965) all_58_15 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | (16966) ~ (all_34_2 = e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16951), (16966) imply:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | (16967) $false
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | CLOSE: (16967) is inconsistent.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | (16968) ( ~ (all_34_0 = e3) & op(all_34_1, e0) = all_34_0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_34_1 & $i(all_34_0) &
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | $i(all_34_1)) | ( ~ (all_34_1 = e2) & op(e0, e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | = all_34_1 & $i(all_34_1))
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | (16969) ~ (all_42_2 = e3)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16879), (16969) imply:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | (16970) $false
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (16970) is inconsistent.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | (16971) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | (16972) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16972) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16973) all_56_0 = e3 & op(e3, all_56_1) = e3
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16973) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16974) op(e3, all_56_1) = e3
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16920), (16974) imply:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16975) op(e3, e2) = e3
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (16882), (16975), (function-axioms) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2192.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16976) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16976) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16977) op(e2, e3) = all_56_3
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16978) op(e2, all_56_3) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (16977)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | (16979) all_56_3 = all_52_1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | (16980) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16980) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (16981) all_58_0 = e1 & op(e3, e3) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16981) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (16982) op(e3, e3) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16923), (16982), (function-axioms) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (16983) all_58_1 = e1 & op(e3, e2) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16983) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (16984) all_58_1 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (16985) op(e3, e2) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16986) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (16923), (16984), (16986),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16987) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16987) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16988) all_58_4 = e0 & op(e3, e1) = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16988) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16989) all_58_4 = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16990) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16990) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16991) all_58_4 = e1 & op(e3, e1) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16991) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16992) all_58_4 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (16882), (16897), (16984), (16992),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16993) all_58_5 = e1 & op(e2, e1) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16993) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16994) all_58_5 = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16995) op(e2, e1) = e1
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16996) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (16989), (16994), (16996) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #339.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16997) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16997) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16998) all_58_8 = e2 & op(e1, e1) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (16998) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16999) op(e1, e1) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (16999), (function-axioms) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17000) all_58_14 = e2 & op(e0, e1) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17000) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17001) all_58_14 = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17002) op(e0, e1) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17003) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (16890), (16921), (17003),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #998.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17004) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17004) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17005) all_58_5 = e2 & op(e2, e1) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (229), (230),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16989), (16994), (17001), (17005),
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #338.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17006) all_58_10 = e2 & op(e2, e0) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17006) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17007) op(e2, e0) = e2
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17008) all_58_15 = e0 & op(e0, e0) = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17008) implies:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17009) op(e0, e0) = e0
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16959), (17009), (function-axioms) are
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17010) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.49/44.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17010) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17011) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17012) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17012) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17013) all_58_2 = e0 & op(e2, e3) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17013) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17014) all_58_2 = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17015) op(e2, e3) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17016) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16923), (17014), (17016),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #796.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17017) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17017) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17018) all_58_6 = e1 & op(e1, e3) = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17018) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17019) op(e1, e3) = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17011) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17020) all_58_12 = e0 & op(e0, e3) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16896), (16900), (16923), (17020),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17021) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17021) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17022) all_58_13 = e0 & op(e0, e2) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17022) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17023) op(e0, e2) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17024) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (234), (16985), (16994),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17007), (17014), (17024), (function-axioms) are
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #336.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17025) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17025) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17026) all_58_7 = e2 & op(e1, e2) = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17026) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17027) all_58_7 = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17028) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (17019), (17027), (17028),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #335.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17029) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17029) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17030) all_58_8 = e0 & op(e1, e1) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17030) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17031) op(e1, e1) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (226), (14315), (14319),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17019), (17031), (function-axioms) are
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #457.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17032) all_58_11 = e0 & op(e1, e0) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17032) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17033) op(e1, e0) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17034) (all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)) | (all_56_26
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_27) = e2 & op(e2, e0) =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_27 & $i(all_56_27))
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17034) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17035) all_56_24 = e3 & op(e3, all_56_25) = e3 & op(e3,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_25 & $i(all_56_25)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17035) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17036) op(e3, e0) = all_56_25
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17037) op(e3, all_56_25) = e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17038) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17038) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17039) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17039) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17040) all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_11 = e2) & ~ (all_56_21 = e2) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e2) & op(e3, e2) = e3 & op(e2, e3) =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17040) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17041) op(e2, e3) = e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16977), (16978), (17041), (function-axioms)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2262.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17042) (all_56_3 = e2 & all_56_9 = e2 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e2) = e2 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2) | (all_56_5 = e3 & all_56_17 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e1) = e3 & op(e1, e3) = e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (16985), (17019), (17042),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #334.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17043) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17043) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17044) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17044) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17045) op(e3, e1) = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (67), (100), (113),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (117), (123), (140), (141), (144), (145), (146),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (148), (149), (157), (158), (159), (160), (162),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (168), (169), (170),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (192), (197), (198), (200), (204), (213), (219),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (221), (231), (232), (233), (234), (238), (257),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (269), (270), (279), (290), (292), (301), (355),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (359), (361), (363), (365), (14311), (14312),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14313), (14315), (14316), (14317), (14318),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14324), (16912), (16952), (16955), (16965),
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17019), (17045), (function-axioms) are
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #470.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17046) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17046) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17047) all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e3, e0) = e3 & op(e0,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17047) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17048) all_56_25 = e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17037), (17048) imply:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17049) op(e3, e3) = e3
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16923), (17049), (function-axioms) are
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17050) all_56_7 = e0 & all_56_25 = e0 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e0) = e0 & op(e0,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17050) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17051) op(e3, e0) = e0
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17036), (17037), (17051), (function-axioms)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #1926.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17052) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17052) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17053) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17053) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17054) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17054) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17055) ~ (all_56_31 = e1)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16952), (17055) imply:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17056) $false
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17056) is inconsistent.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17057) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17057) gives:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17058) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17058) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17059) ~ (all_56_1 = e2)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16920), (17059) imply:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17060) $false
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (17060) is inconsistent.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17061) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17061) implies:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17062) op(e0, e2) = e2
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17023), (17062), (function-axioms) are
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17063) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (17002), (17007), (17033), (17063),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #389.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17064) all_56_26 = e2 & op(e2, all_56_27) = e2 & op(e2,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_27 & $i(all_56_27)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17064) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17065) op(e2, e0) = all_56_27
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17066) op(e2, all_56_27) = e2
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17007), (17065), (17066),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #954.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17067) (all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)) | (all_56_30
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & op(e0, all_56_31) = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17067) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17068) all_56_28 = e1 & op(e1, all_56_29) = e1 & op(e1,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_56_29 & $i(all_56_29)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17068) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17069) op(e1, e0) = all_56_29
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17070) op(e1, all_56_29) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16878) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17071) ~ (all_8_0 = e1) & op(all_8_1, e2) = all_8_0 &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_1 & $i(all_8_0) & $i(all_8_1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17071) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17072) op(e2, e3) = all_8_1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (16971) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17033), (17069), (17070), (function-axioms)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #766.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17073) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17073) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17074) ~ (all_42_1 = e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17075) op(e2, e3) = all_42_1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_29, e0, e1, simplifying with (17033),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17069) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17076) all_56_29 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_42_1,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (17015), (17075) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17077) all_42_1 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_1,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_42_1, e3, e2, simplifying with (17072),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17075) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17078) all_42_1 = all_8_1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17077), (17078) imply:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17079) all_8_1 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17074), (17077) imply:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17080) ~ (e1 = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17070), (17076) imply:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17081) op(e1, e0) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17033), (17081), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2284.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17082) ~ (all_8_1 = e0) & op(e2, e3) = all_8_1 &
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17082) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17083) ~ (all_8_1 = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17084) op(e2, e3) = all_8_1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16971), (17015), (17083), (17084),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #897.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17085) all_56_30 = e0 & op(e0, all_56_31) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17085) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17086) op(e0, all_56_31) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16952), (17086) imply:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17087) op(e0, e1) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17002), (17087), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17088) all_58_13 = e2 & op(e0, e2) = e2
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17088) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17089) op(e0, e2) = e2
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17023), (17089), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17090) all_58_14 = e0 & op(e0, e1) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17090) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17091) op(e0, e1) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17002), (17091), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17092) all_58_12 = e1 & op(e0, e3) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (16884),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16896), (16900), (16959), (16965), (17007),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17092), (function-axioms) are inconsistent by
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17093) all_58_3 = e0 & op(e2, e2) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16889), (16896), (16923), (17093),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #332.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17094) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (165), (16995), (17007), (17094),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2120.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17095) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (14324), (16954), (17095),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #467.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17096) all_58_9 = e0 & op(e3, e0) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17096) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17097) all_58_9 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16923), (17097), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (17098) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (211), (216), (217),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (225), (226), (229),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (235), (236), (237), (238), (239),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (244), (246), (14313),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (14315), (14316), (14317), (14318), (14324),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (16878), (16882), (16883), (16884), (16889),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (16890), (16896), (16897), (16900), (16923),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (16948), (16953), (16959), (16965), (16968),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (16971), (17098), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | (17099) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17099) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | (17100) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17100) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | (17101) op(e1, e3) = all_56_5
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | (17102) op(e1, all_56_5) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (17101)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | (17103) all_56_5 = all_52_2
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17102), (17103) imply:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | (17104) op(e1, all_52_2) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | (17105) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_1 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17105) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (17106) all_58_0 = e1 & op(e3, e3) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17106) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (17107) op(e3, e3) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16923), (17107), (function-axioms) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (17108) all_58_1 = e1 & op(e3, e2) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17108) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (17109) all_58_1 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (17110) op(e3, e2) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17111) (all_58_0 = e0 & op(e3, e3) = e0) | (all_58_1 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (16923), (17109), (17111),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1698.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17112) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_9 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17112) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17113) all_58_4 = e0 & op(e3, e1) = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17113) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17114) all_58_4 = e0
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17115) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17115) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17116) all_58_4 = e1 & op(e3, e1) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17116) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17117) all_58_4 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (170), (240), (244),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (246), (16882), (16897), (17109), (17117),
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1437.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17118) all_58_5 = e1 & op(e2, e1) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17118) implies:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17119) all_58_5 = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17120) op(e2, e1) = e1
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17121) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (17114), (17119), (17121) are
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #339.
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.49/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17122) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17122) gives:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17123) all_58_8 = e2 & op(e1, e1) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17123) implies:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17124) op(e1, e1) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (17124), (function-axioms) are
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17125) all_58_14 = e2 & op(e0, e1) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17125) implies:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17126) all_58_14 = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17127) op(e0, e1) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17128) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (16890), (16921), (17128),
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #998.
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17129) (all_58_5 = e2 & op(e2, e1) = e2) | (all_58_10 =
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17129) gives:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17130) all_58_5 = e2 & op(e2, e1) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (229), (230),
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17114), (17119), (17126), (17130),
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #338.
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17131) all_58_10 = e2 & op(e2, e0) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17131) implies:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17132) all_58_10 = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17133) op(e2, e0) = e2
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17134) all_58_15 = e0 & op(e0, e0) = e0
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17134) implies:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17135) op(e0, e0) = e0
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (16959), (17135), (function-axioms) are
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2274.
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17136) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 237.61/44.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17136) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17137) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17138) (all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 & op(e1,
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17139) (all_58_2 = e0 & op(e2, e3) = e0) | (all_58_3 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17139) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17140) all_58_2 = e0 & op(e2, e3) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17140) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17141) all_58_2 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17142) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (16923), (17141), (17142),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #796.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17143) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17143) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17144) all_58_6 = e1 & op(e1, e3) = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17144) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17145) op(e1, e3) = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17137) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17146) all_58_12 = e0 & op(e0, e3) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16896), (16900), (16923), (17146),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #337.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17147) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17147) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17148) all_58_13 = e0 & op(e0, e2) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17148) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17149) op(e0, e2) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17150) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (7), (8), (9), (234), (17110), (17119),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17133), (17141), (17150), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #336.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17151) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17151) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17152) all_58_7 = e2 & op(e1, e2) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17152) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17153) all_58_7 = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17154) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (17145), (17153), (17154),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #335.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17155) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17155) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17156) all_58_8 = e0 & op(e1, e1) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17156) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17157) op(e1, e1) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (226), (14315), (14319),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17145), (17157), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #457.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17158) all_58_11 = e0 & op(e1, e0) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17158) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17159) op(e1, e0) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17160) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = e2)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17160) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17161) all_58_9 = e2 & op(e3, e0) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17161) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17162) all_58_9 = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17163) op(e3, e0) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (240), (242), (246),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16923), (17114), (17162), (17163),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1560.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (17145) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17164) all_52_2 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (17120) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17165) all_52_9 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17104), (17164) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17166) op(e1, e1) = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14324), (17166), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17167) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e0) = e2)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17167) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17168) all_58_11 = e2 & op(e1, e0) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17168) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17169) op(e1, e0) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17159), (17169), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #478.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17170) all_58_15 = e2 & op(e0, e0) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17170) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17171) all_58_15 = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (16965), (17171) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17172) e2 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17132), (17172) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17173) all_58_10 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (221), (222), (231),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (233), (16889), (17119), (17138), (17171),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17173), (function-axioms) are inconsistent by
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #831.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17174) all_58_13 = e2 & op(e0, e2) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17174) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17175) op(e0, e2) = e2
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17149), (17175), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17176) all_58_14 = e0 & op(e0, e1) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17176) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17177) op(e0, e1) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17127), (17177), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #458.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17178) all_58_12 = e1 & op(e0, e3) = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (164), (216), (222), (16884),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16896), (16900), (16959), (16965), (17133),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17178), (function-axioms) are inconsistent by
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #333.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17179) all_58_3 = e0 & op(e2, e2) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16889), (16896), (16923), (17179),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #332.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17180) (all_58_5 = e0 & op(e2, e1) = e0) | (all_58_10 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (165), (17120), (17133), (17180),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2120.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17181) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (157), (14324), (16954), (17181),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #467.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17182) all_58_9 = e0 & op(e3, e0) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17182) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17183) all_58_9 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (169), (170), (246), (14316), (16882),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16923), (17183), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1956.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (17184) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_9 = e1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (169), (170), (211), (216), (217),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (219), (221), (222), (223), (225), (226), (229),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (230), (231), (235), (236), (237), (238), (239),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (240), (241), (242), (244), (246), (14313),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (14315), (14316), (14317), (14318), (14324),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (16878), (16882), (16883), (16884), (16889),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (16890), (16896), (16897), (16900), (16923),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (16948), (16953), (16959), (16965), (16968),
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | (16971), (17184), (function-axioms) are
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #321.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | (17185) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17185) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | (17186) op(e0, e3) = all_56_7
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | (17187) op(e0, all_56_7) = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16901), (17186), (17187), (function-axioms)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2070.
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17188) all_54_0 = e1 | all_54_0 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (16891), (16912), (17188) are inconsistent
% 237.61/44.90 | | | | | | | | | | | | | | | | | by sub-proof #2320.
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | End of split
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | (17189) all_16_2 = e0
% 237.61/44.90 | | | | | | | | | | | | | | | (17190) ( ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0
% 237.61/44.90 | | | | | | | | | | | | | | | & op(e3, e0) = all_16_1 & $i(all_16_0) &
% 237.61/44.90 | | | | | | | | | | | | | | | $i(all_16_1)) | ( ~ (all_16_1 = e1) & op(e3, e0)
% 237.61/44.90 | | | | | | | | | | | | | | | = all_16_1 & $i(all_16_1))
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | COMBINE_EQS: (342), (17189) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17191) all_10_2 = e0
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | SIMP: (17191) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | (17192) all_10_2 = e0
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | COMBINE_EQS: (350), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17193) all_50_2 = e0
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | COMBINE_EQS: (290), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17194) all_56_1 = e0
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | REDUCE: (361), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17195) ~ (all_52_4 = e0)
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | REDUCE: (16909), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17196) ~ (e3 = e0)
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | REDUCE: (16891), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17197) ~ (e1 = e0)
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | REDUCE: (45), (17192) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | (17198) op(e3, e3) = e0
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 237.61/44.90 | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | (17199) ~ (all_50_2 = e0)
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | REDUCE: (17193), (17199) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | | (17200) $false
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | CLOSE: (17200) is inconsistent.
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | Case 2:
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | (17201) ( ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0
% 237.61/44.90 | | | | | | | | | | | | | | | | & op(e3, e0) = all_50_1 & $i(all_50_0) &
% 237.61/44.90 | | | | | | | | | | | | | | | | $i(all_50_1)) | ( ~ (all_50_1 = e2) & op(e3, e0)
% 237.61/44.90 | | | | | | | | | | | | | | | | = all_50_1 & $i(all_50_1))
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | BETA: splitting (17190) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17202) ~ (all_16_0 = e2) & op(all_16_1, e3) = all_16_0 &
% 237.61/44.90 | | | | | | | | | | | | | | | | | op(e3, e0) = all_16_1 & $i(all_16_0) &
% 237.61/44.90 | | | | | | | | | | | | | | | | | $i(all_16_1)
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | ALPHA: (17202) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17203) ~ (all_16_0 = e2)
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17204) op(e3, e0) = all_16_1
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17205) op(all_16_1, e3) = all_16_0
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 237.61/44.90 | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17204) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17206) all_16_1 = e3
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | REDUCE: (17205), (17206) imply:
% 237.61/44.90 | | | | | | | | | | | | | | | | | (17207) op(e3, e3) = all_16_0
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | BETA: splitting (17201) gives:
% 237.61/44.90 | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.90 | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | (17208) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 237.61/44.90 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 237.61/44.90 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | ALPHA: (17208) implies:
% 237.61/44.90 | | | | | | | | | | | | | | | | | | (17209) ~ (all_50_0 = e1)
% 237.61/44.90 | | | | | | | | | | | | | | | | | | (17210) op(e3, e0) = all_50_1
% 237.61/44.90 | | | | | | | | | | | | | | | | | | (17211) op(all_50_1, e3) = all_50_0
% 237.61/44.90 | | | | | | | | | | | | | | | | | |
% 237.61/44.90 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17210) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17212) all_50_1 = e3
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_16_0,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (17198), (17207) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17213) all_16_0 = e0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | REDUCE: (17203), (17213) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17214) ~ (e2 = e0)
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | REDUCE: (17211), (17212) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17215) op(e3, e3) = all_50_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_50_0,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (17198), (17215) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17216) all_50_0 = e0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17217) ~ (all_20_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (17217) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17218) ~ (all_4_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (117), (126), (157), (158),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (170), (189), (213), (220), (221), (222), (227),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (230), (235), (242), (244), (246), (254), (299),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (379), (386), (390), (14313), (14314), (14316),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14317), (14318), (16881), (16882), (16884),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16889), (16893), (16896), (17195), (17198),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17218), (function-axioms) are inconsistent by
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | sub-proof #320.
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17219) all_20_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17220) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (17219) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17221) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | SIMP: (17221) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17222) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17223) all_34_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17224) all_56_31 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (379), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17225) ~ (all_52_7 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (386), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17226) ~ (all_52_11 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (388), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17227) ~ (all_52_13 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (389), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17228) ~ (all_52_14 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16893), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17229) ~ (e3 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17230) ~ (e2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (17222) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17231) op(e0, e0) = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (82), (94), (100),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (163), (164), (165),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (167), (169), (170), (210), (211), (213), (216),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (238),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (246),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14312), (14313), (14314), (14315), (14316),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14323), (14324),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16878), (16879), (16881), (16882), (16883),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16884), (16889), (16890), (16896), (16897),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16900), (17194), (17195), (17198), (17220),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17223), (17224), (17225), (17226), (17227),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17228), (17231), (function-axioms) are
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17232) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | ALPHA: (17232) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17233) ~ (all_50_1 = e2)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17234) op(e3, e0) = all_50_1
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17234) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17235) all_50_1 = e3
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_16_0,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (17198), (17207) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17236) all_16_0 = e0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | REDUCE: (17203), (17236) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17237) ~ (e2 = e0)
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17238) ~ (all_20_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (17238) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17239) ~ (all_4_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (117), (126), (157), (158),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (170), (189), (213), (220), (221), (222), (227),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (230), (235), (242), (244), (246), (254), (299),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (379), (386), (390), (14313), (14314), (14316),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14317), (14318), (16881), (16882), (16884),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16889), (16893), (16896), (17195), (17198),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17239), (function-axioms) are inconsistent by
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | sub-proof #320.
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17240) all_20_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17241) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (17240) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17242) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | SIMP: (17242) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17243) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17244) all_34_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17245) all_56_31 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (379), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17246) ~ (all_52_7 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (386), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17247) ~ (all_52_11 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (388), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17248) ~ (all_52_13 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (389), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17249) ~ (all_52_14 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16893), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17250) ~ (e3 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17251) ~ (e2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (17243) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17252) op(e0, e0) = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (82), (94), (100),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (163), (164), (165),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (167), (169), (170), (210), (211), (213), (216),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (238),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (246),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14312), (14313), (14314), (14315), (14316),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14323), (14324),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16878), (16879), (16881), (16882), (16883),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16884), (16889), (16890), (16896), (16897),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16900), (17194), (17195), (17198), (17233),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17234), (17241), (17244), (17245), (17246),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17247), (17248), (17249), (17252),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | #304.
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | End of split
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | (17253) ~ (all_16_1 = e1) & op(e3, e0) = all_16_1 &
% 237.61/44.91 | | | | | | | | | | | | | | | | | $i(all_16_1)
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | ALPHA: (17253) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | (17254) ~ (all_16_1 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | (17255) op(e3, e0) = all_16_1
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_16_1,
% 237.61/44.91 | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17255) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | (17256) all_16_1 = e3
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | BETA: splitting (17201) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17257) ~ (all_50_0 = e1) & op(all_50_1, e3) = all_50_0 &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | op(e3, e0) = all_50_1 & $i(all_50_0) &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | ALPHA: (17257) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17258) ~ (all_50_0 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17259) op(e3, e0) = all_50_1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17260) op(all_50_1, e3) = all_50_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17259) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17261) all_50_1 = e3
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | REDUCE: (17260), (17261) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17262) op(e3, e3) = all_50_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_50_0,
% 237.61/44.91 | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (17198), (17262) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | (17263) all_50_0 = e0
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.61/44.91 | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17264) ~ (all_20_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (17264) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17265) ~ (all_4_2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (117), (126), (157), (158),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (170), (189), (213), (220), (221), (222), (227),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (230), (235), (242), (244), (246), (254), (299),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (379), (386), (390), (14313), (14314), (14316),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (14317), (14318), (16881), (16882), (16884),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (16889), (16893), (16896), (17195), (17198),
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17265), (function-axioms) are inconsistent by
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | sub-proof #320.
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17266) all_20_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17267) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (17266) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17268) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | SIMP: (17268) implies:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17269) all_4_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17270) all_34_2 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17271) all_56_31 = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (379), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17272) ~ (all_52_7 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (386), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17273) ~ (all_52_11 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (388), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17274) ~ (all_52_13 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (389), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17275) ~ (all_52_14 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (16893), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17276) ~ (e3 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17277) ~ (e2 = e1)
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (17269) imply:
% 237.61/44.91 | | | | | | | | | | | | | | | | | | | (17278) op(e0, e0) = e1
% 237.61/44.91 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (82), (94), (100),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (163), (164), (165),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (167), (169), (170), (210), (211), (213), (216),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (238),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (246),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (14312), (14313), (14314), (14315), (14316),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14323), (14324),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16878), (16879), (16881), (16882), (16883),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16884), (16889), (16890), (16896), (16897),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16900), (17194), (17195), (17198), (17267),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17270), (17271), (17272), (17273), (17274),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17275), (17278), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #305.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17279) ~ (all_50_1 = e2) & op(e3, e0) = all_50_1 &
% 237.61/44.92 | | | | | | | | | | | | | | | | | | $i(all_50_1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | ALPHA: (17279) implies:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17280) ~ (all_50_1 = e2)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17281) op(e3, e0) = all_50_1
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_50_1,
% 237.61/44.92 | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (16897), (17281) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17282) all_50_1 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17283) ~ (all_20_2 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (341), (17283) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17284) ~ (all_4_2 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (9), (36), (117), (126), (157), (158),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (160), (162), (163), (164), (165), (167), (169),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (170), (189), (213), (220), (221), (222), (227),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (230), (235), (242), (244), (246), (254), (299),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (379), (386), (390), (14313), (14314), (14316),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (14317), (14318), (16881), (16882), (16884),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16889), (16893), (16896), (17195), (17198),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17284), (function-axioms) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | sub-proof #320.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17285) all_20_2 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17286) ( ~ (all_20_0 = e2) & op(all_20_1, e0) = all_20_0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | & op(e0, e1) = all_20_1 & $i(all_20_0) &
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | $i(all_20_1)) | ( ~ (all_20_1 = e3) & op(e0, e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | = all_20_1 & $i(all_20_1))
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (17285) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17287) all_4_2 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | SIMP: (17287) implies:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17288) all_4_2 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (324), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17289) all_34_2 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17290) all_56_31 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (379), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17291) ~ (all_52_7 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (386), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17292) ~ (all_52_11 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (388), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17293) ~ (all_52_13 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (389), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17294) ~ (all_52_14 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (16893), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17295) ~ (e3 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (390), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17296) ~ (e2 = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (17288) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17297) op(e0, e0) = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (82), (94), (100),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (157), (158), (160), (162), (163), (164), (165),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (167), (169), (170), (210), (211), (213), (216),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (217), (218), (219), (220), (221), (222), (223),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (231), (232), (233), (235), (236), (237), (238),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (239), (240), (241), (242), (243), (244), (246),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (14312), (14313), (14314), (14315), (14316),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (14317), (14318), (14319), (14323), (14324),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16878), (16879), (16881), (16882), (16883),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16884), (16889), (16890), (16896), (16897),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (16900), (17194), (17195), (17198), (17280),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17281), (17286), (17289), (17290), (17291),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17292), (17293), (17294), (17297),
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | #304.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | (17298) all_58_13 = e3 & op(e0, e2) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | REF_CLOSE: (158), (16883), (17298), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | | | inconsistent by sub-proof #1919.
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | (17299) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 237.61/44.92 | | | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | BETA: splitting (17299) gives:
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | (17300) all_58_14 = e3 & op(e0, e1) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | REF_CLOSE: (157), (14318), (17300), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | (17301) all_58_15 = e3 & op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | ALPHA: (17301) implies:
% 237.61/44.92 | | | | | | | | | | | | | | (17302) op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 237.61/44.92 | | | | | | | | | | | | | | e0, e0, simplifying with (36), (17302) gives:
% 237.61/44.92 | | | | | | | | | | | | | | (17303) all_4_2 = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | REDUCE: (16893), (17303) imply:
% 237.61/44.92 | | | | | | | | | | | | | | (17304) $false
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | CLOSE: (17304) is inconsistent.
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | (17305) all_58_10 = e3 & op(e2, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | ALPHA: (17305) implies:
% 237.61/44.92 | | | | | | | | | | | | (17306) op(e2, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | REF_CLOSE: (164), (16884), (17306), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | inconsistent by sub-proof #1994.
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | (17307) (all_58_11 = e3 & op(e1, e0) = e3) | (all_58_15 =
% 237.61/44.92 | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | BETA: splitting (17307) gives:
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | (17308) all_58_11 = e3 & op(e1, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | ALPHA: (17308) implies:
% 237.61/44.92 | | | | | | | | | | | | (17309) op(e1, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | REF_CLOSE: (160), (14319), (17309), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | inconsistent by sub-proof #2149.
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | (17310) all_58_15 = e3 & op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | ALPHA: (17310) implies:
% 237.61/44.92 | | | | | | | | | | | | (17311) op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2, e3,
% 237.61/44.92 | | | | | | | | | | | | e0, e0, simplifying with (36), (17311) gives:
% 237.61/44.92 | | | | | | | | | | | | (17312) all_4_2 = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | REDUCE: (16893), (17312) imply:
% 237.61/44.92 | | | | | | | | | | | | (17313) $false
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | CLOSE: (17313) is inconsistent.
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | End of split
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | (17314) all_12_2 = e3
% 237.61/44.92 | | | | | | | | | | (17315) ( ~ (all_12_0 = e1) & op(all_12_1, e0) = all_12_0
% 237.61/44.92 | | | | | | | | | | & op(e0, e3) = all_12_1 & $i(all_12_0) &
% 237.61/44.92 | | | | | | | | | | $i(all_12_1)) | ( ~ (all_12_1 = e2) & op(e0, e3)
% 237.61/44.92 | | | | | | | | | | = all_12_1 & $i(all_12_1))
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | COMBINE_EQS: (346), (17314) imply:
% 237.61/44.92 | | | | | | | | | | (17316) all_4_2 = e3
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | COMBINE_EQS: (334), (17316) imply:
% 237.61/44.92 | | | | | | | | | | (17317) all_26_2 = e3
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | COMBINE_EQS: (254), (17316) imply:
% 237.61/44.92 | | | | | | | | | | (17318) all_56_31 = e3
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | REDUCE: (368), (17316) imply:
% 237.61/44.92 | | | | | | | | | | (17319) ~ (all_52_3 = e3)
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | BETA: splitting (219) gives:
% 237.61/44.92 | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | (17320) (all_58_12 = e3 & op(e0, e3) = e3) | (all_58_13 =
% 237.61/44.92 | | | | | | | | | | | e3 & op(e0, e2) = e3)
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | REF_CLOSE: (158), (159), (16883), (17319), (17320),
% 237.61/44.92 | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.92 | | | | | | | | | | | #1123.
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | (17321) (all_58_14 = e3 & op(e0, e1) = e3) | (all_58_15 =
% 237.61/44.92 | | | | | | | | | | | e3 & op(e0, e0) = e3)
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | BETA: splitting (17321) gives:
% 237.61/44.92 | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | (17322) all_58_14 = e3 & op(e0, e1) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | REF_CLOSE: (157), (14318), (17322), (function-axioms) are
% 237.61/44.92 | | | | | | | | | | | | inconsistent by sub-proof #1647.
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | (17323) all_58_15 = e3 & op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | ALPHA: (17323) implies:
% 237.61/44.92 | | | | | | | | | | | | (17324) all_58_15 = e3
% 237.61/44.92 | | | | | | | | | | | | (17325) op(e0, e0) = e3
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | BETA: splitting (245) gives:
% 237.61/44.92 | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | (17326) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 237.61/44.92 | | | | | | | | | | | | | & op(e2, e3) = e3)
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | BETA: splitting (17326) gives:
% 237.61/44.92 | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | (17327) all_58_0 = e3 & op(e3, e3) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | ALPHA: (17327) implies:
% 237.61/44.92 | | | | | | | | | | | | | | (17328) op(e3, e3) = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_2, e3,
% 237.61/44.92 | | | | | | | | | | | | | | e3, e3, simplifying with (45), (17328) gives:
% 237.61/44.92 | | | | | | | | | | | | | | (17329) all_10_2 = e3
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | REDUCE: (365), (17329) imply:
% 237.61/44.92 | | | | | | | | | | | | | | (17330) ~ (all_52_12 = e3)
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 237.61/44.92 | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | (17331) ~ (all_26_2 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | REDUCE: (17317), (17331) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | (17332) $false
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | CLOSE: (17332) is inconsistent.
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | (17333) ( ~ (all_26_0 = e2) & op(all_26_1, e0) = all_26_0
% 237.61/44.92 | | | | | | | | | | | | | | | & op(e0, e3) = all_26_1 & $i(all_26_0) &
% 237.61/44.92 | | | | | | | | | | | | | | | $i(all_26_1)) | ( ~ (all_26_1 = e1) & op(e0, e3)
% 237.61/44.92 | | | | | | | | | | | | | | | = all_26_1 & $i(all_26_1))
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 237.61/44.92 | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | (17334) ~ (all_42_2 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | REDUCE: (16879), (17334) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | (17335) $false
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | CLOSE: (17335) is inconsistent.
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | (17336) ( ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0
% 237.61/44.92 | | | | | | | | | | | | | | | | & op(e2, e3) = all_42_1 & $i(all_42_0) &
% 237.61/44.92 | | | | | | | | | | | | | | | | $i(all_42_1)) | ( ~ (all_42_1 = e1) & op(e2, e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | = all_42_1 & $i(all_42_1))
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | (17337) ~ (all_46_2 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | REDUCE: (14312), (17337) imply:
% 237.61/44.92 | | | | | | | | | | | | | | | | | (17338) $false
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | CLOSE: (17338) is inconsistent.
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | (17339) ( ~ (all_46_0 = e0) & op(all_46_1, e1) = all_46_0
% 237.61/44.92 | | | | | | | | | | | | | | | | | & op(e1, e3) = all_46_1 & $i(all_46_0) &
% 237.61/44.92 | | | | | | | | | | | | | | | | | $i(all_46_1)) | ( ~ (all_46_1 = e2) & op(e1, e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | = all_46_1 & $i(all_46_1))
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17340) all_54_13 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (256), (16883), (17340) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | sub-proof #2010.
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17341) ~ (all_54_13 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | (17342) all_54_13 = e2 | all_54_13 = e1 | all_54_13 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17343) all_54_11 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (258), (14319), (17343) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | sub-proof #1998.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17344) ~ (all_54_11 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | (17345) all_54_11 = e2 | all_54_11 = e1 | all_54_11 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | (17346) all_54_4 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (16881), (17346) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | sub-proof #2100.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | (17347) ~ (all_54_4 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | (17348) all_54_4 = e2 | all_54_4 = e1 | all_54_4 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | (17349) all_54_9 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (267), (14315), (17349) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | sub-proof #1955.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | (17350) ~ (all_54_9 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | (17351) all_54_9 = e2 | all_54_9 = e1 | all_54_9 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | (17352) all_54_7 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16884), (17352) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | (17353) ~ (all_54_7 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | (17354) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | (17355) all_54_12 = e3
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (257), (17319), (17355) are inconsistent by
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2266.
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | (17356) ~ (all_54_12 = e3)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | (17357) all_54_12 = e2 | all_54_12 = e1 | all_54_12 = e0
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | (17358) (all_58_4 = e1 & op(e3, e1) = e1) | (all_58_5 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1)
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17358) gives:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | | (17359) all_58_4 = e1 & op(e3, e1) = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17359) implies:
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | | (17360) all_58_4 = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | | (17361) op(e3, e1) = e1
% 237.61/44.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (117), (118), (121),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (123), (125), (139), (144), (157), (158), (159),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (163), (164), (165), (167), (169), (211), (213),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (217), (227), (229), (230), (239), (14313),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14314), (14316), (14317), (14318), (14324),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (16878), (16881), (16890), (17318), (17319),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17324), (17325), (17328), (17336), (17360),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17361), (function-axioms) are inconsistent by
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #301.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17362) all_58_5 = e1 & op(e2, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17362) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17363) all_58_5 = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17364) op(e2, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (110), (117), (118),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (120), (121), (123), (125), (128), (134), (139),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (140), (144), (145), (148), (149), (157), (158),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (159), (160), (162), (163), (164), (165), (167),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (168), (169), (170), (197), (210), (211), (213),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (216), (217), (218), (219), (220), (221), (223),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (224), (225), (226), (227), (228), (229), (230),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (231), (233), (235), (236), (237), (238), (239),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (241), (242), (243), (244), (246), (257), (258),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (269), (279), (14311), (14313), (14314), (14315),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14316), (14317), (14318), (14319), (14323),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (14324), (16878), (16881), (16882), (16883),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (16884), (16889), (16890), (17315), (17318),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17319), (17324), (17325), (17328), (17330),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17333), (17336), (17339), (17345), (17348),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17354), (17357), (17363), (17364),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | #288.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | (17365) (all_58_8 = e1 & op(e1, e1) = e1) | (all_58_14 =
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e1) = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17365) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17366) all_58_8 = e1 & op(e1, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17366) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17367) op(e1, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (14324), (17367), (function-axioms) are
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #468.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17368) all_58_14 = e1 & op(e0, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17368) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17369) all_58_14 = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17370) op(e0, e1) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, e0, simplifying with (157), (17370) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17371) all_52_11 = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (17371) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17372) ~ (all_52_7 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (17371) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17373) ~ (all_52_8 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (17371) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17374) ~ (all_52_9 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14318), (17371) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | (17375) ~ (e3 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (17376) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_5 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17376) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17377) all_58_4 = e2 & op(e3, e1) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17377) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17378) all_58_4 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17379) op(e3, e1) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (110), (113), (117),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (128), (134),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (144), (145), (146), (148), (149),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (197),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (216), (217), (218),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (241),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (14311), (14313),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14314), (14315), (14316), (14317), (14318),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (14319), (14323), (14324), (16878), (16880),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16884), (16889),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (16890), (17315), (17318), (17319), (17324),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17325), (17328), (17330), (17333), (17336),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17339), (17345), (17348), (17351), (17354),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357), (17369), (17370), (17372), (17373),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17374), (17378), (17379), (function-axioms) are
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17380) all_58_5 = e2 & op(e2, e1) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17380) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17381) all_58_5 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17382) op(e2, e1) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17383) (all_58_4 = e0 & op(e3, e1) = e0) | (all_58_5 = e0
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17383) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17384) all_58_4 = e0 & op(e3, e1) = e0
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17384) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17385) all_58_4 = e0
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17386) op(e3, e1) = e0
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e2,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (17382) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17387) all_52_9 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e0,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (17386) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17388) all_52_8 = e0
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (17387) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17389) ~ (all_52_1 = e2)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (17388) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17390) ~ (all_52_4 = e0)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (17387), (17388) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17391) ~ (e2 = e0)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14316), (17388) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17392) ~ (e3 = e0)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17373), (17388) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17393) ~ (e1 = e0)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14317), (17387) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17394) ~ (e3 = e2)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17395) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17395) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17396) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (168), (17330), (17386), (17396),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #298.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17397) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17382), (17397), (function-axioms)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #758.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17398) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17398) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17399) all_56_20 = e1 & op(e1, all_56_21) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17399) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17400) op(e1, all_56_21) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (17400) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17401) op(e1, e3) = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2, e1,
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (163), (17401) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17402) all_52_2 = e1
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (17402) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17403) ~ (all_52_1 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (17402) imply:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17404) ~ (all_52_3 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17404) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17405) ~ (all_52_3 = e1)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17406) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (167), (17328), (17389), (17406),
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1407.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17407) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17407) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17408) all_58_6 = e2 & op(e1, e3) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17408) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17409) op(e1, e3) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17401), (17409), (function-axioms) are
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17410) all_58_12 = e2 & op(e0, e3) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17410) implies:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17411) all_58_12 = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17412) op(e0, e3) = e2
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17413) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17413) gives:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17414) all_58_1 = e1 & op(e3, e2) = e1
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17414) implies:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17415) all_58_1 = e1
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17416) op(e3, e2) = e1
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17417) all_58_15 = e0 & op(e0, e0) = e0
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17417) implies:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17418) op(e0, e0) = e0
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (158), (219), (16883), (17369),
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17411), (17418), (function-axioms) are
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1550.
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.61/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17419) ((all_58_9 = e0 & op(e3, e0) = e0) | (all_58_10 =
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e2, e0) = e0) | (all_58_11 = e0 &
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0)) & ((all_58_12 = e0 & op(e0,
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0) | (all_58_13 = e0 & op(e0, e2) =
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | (all_58_14 = e0 & op(e0, e1) = e0))
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17419) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17420) (all_58_12 = e0 & op(e0, e3) = e0) | (all_58_13 =
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_58_14 = e0 & op(e0,
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0)
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17421) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17421) gives:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17422) all_58_0 = e2 & op(e3, e3) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17422) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17423) op(e3, e3) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (168), (169), (246), (14316), (17330),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17415), (17423), (function-axioms) are
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1327.
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17424) all_58_1 = e2 & op(e3, e2) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17424) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17425) op(e3, e2) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17416), (17425), (function-axioms) are
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2261.
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17426) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17426) gives:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17427) all_58_4 = e2 & op(e3, e1) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17427) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17428) all_58_4 = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17429) op(e3, e1) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (7), (8), (9), (110), (113), (117),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (118), (120), (121), (123), (125), (128), (134),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (139), (140), (144), (145), (146), (148), (149),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (157), (158), (159), (160), (162), (163), (164),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (167), (168), (169), (170), (191), (197),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (211), (212), (213), (216), (217), (218),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (219), (220), (221), (223), (224), (225), (226),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (228), (229), (230), (231), (232), (233),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (235), (236), (237), (238), (239), (240), (241),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (242), (243), (244), (245), (246), (256), (257),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (267), (269), (279), (14311), (14313),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14314), (14315), (14316), (14317), (14318),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14319), (14323), (14324), (16878), (16880),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16884), (16889),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16890), (17315), (17318), (17319), (17324),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17325), (17328), (17330), (17333), (17336),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17339), (17345), (17348), (17351), (17354),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357), (17369), (17370), (17372), (17373),
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17374), (17428), (17429), (function-axioms) are
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #274.
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17430) all_58_9 = e2 & op(e3, e0) = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17430) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17431) all_58_9 = e2
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17420) gives:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17432) all_58_12 = e0 & op(e0, e3) = e0
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17432) implies:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17433) op(e0, e3) = e0
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17412), (17433), (function-axioms) are
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1896.
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17434) (all_58_13 = e0 & op(e0, e2) = e0) | (all_58_14 =
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17434) gives:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17435) all_58_13 = e0 & op(e0, e2) = e0
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.74/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17435) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17436) op(e0, e2) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17437) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (16890), (17416), (17437),
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #287.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17438) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17438) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17439) all_58_7 = e2 & op(e1, e2) = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17439) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17440) all_58_7 = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17441) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17441) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17442) all_58_6 = e0 & op(e1, e3) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17442) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17443) op(e1, e3) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17401), (17443), (function-axioms) are
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #449.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17444) all_58_7 = e0 & op(e1, e2) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17444) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17445) all_58_7 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17440), (17445) imply:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17446) e2 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17431), (17446) imply:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17447) all_58_9 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (244), (17328), (17385), (17415),
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17447), (function-axioms) are inconsistent by
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #956.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17448) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17448) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17449) all_58_8 = e0 & op(e1, e1) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17449) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17450) op(e1, e1) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (160), (162), (226), (14315), (14319),
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17401), (17450), (function-axioms) are
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #457.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17451) all_58_11 = e0 & op(e1, e0) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17451) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17452) op(e1, e0) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17348) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17453) all_54_4 = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (17389), (17453) are inconsistent by
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2096.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17454) ~ (all_54_4 = e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17455) all_54_4 = e1 | all_54_4 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17455) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17456) all_54_4 = e1
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (279), (17403), (17456) are inconsistent by
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2086.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17457) all_54_4 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (279), (17457) imply:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17458) all_52_1 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17458) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17459) all_52_1 = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (17459) imply:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17460) ~ (all_52_3 = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17460) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17461) ~ (all_52_3 = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (17459) imply:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462) op(e2, e3) = e0
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17463) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17463) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17464) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (167), (16881), (17401), (17416),
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17464), (function-axioms) are inconsistent by
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #273.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17465) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (159), (17319), (17386), (17461), (17465),
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1735.
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17466) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17466) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17467) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17467) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17468) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17468) implies:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17469) all_56_13 = e2
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17470) ~ (all_56_31 = e1)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17336) gives:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17471) ~ (all_42_0 = e0) & op(all_42_1, e2) = all_42_0 &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_42_1 & $i(all_42_0) &
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17471) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17472) op(e2, e3) = all_42_1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (140), (159), (212), (227), (229),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (256), (257), (16878), (16880), (16883),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17315), (17319), (17325), (17333), (17342),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357), (17369), (17372), (17381), (17385),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17386), (17405), (17416), (17436), (17461),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462), (17469), (17472), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17473) ~ (all_42_1 = e1) & op(e2, e3) = all_42_1 &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_42_1)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17473) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17474) op(e2, e3) = all_42_1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (140), (159), (212), (227), (229),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (256), (257), (16878), (16880), (16883),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17315), (17319), (17325), (17333), (17342),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17357), (17369), (17372), (17381), (17385),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17386), (17405), (17416), (17436), (17461),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17462), (17469), (17474), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #272.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17475) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (165), (17374), (17436), (17475),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #271.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17476) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17476) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17477) all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e0) = e0 & op(e0,
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17477) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17478) op(e2, e0) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (164), (165), (167), (232), (16889),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17374), (17403), (17478), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1777.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17479) (all_56_23 = e1 & all_56_29 = e1 & ~ (all_56_1 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e1, e0) = e1 &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e1) | (all_56_23 = e0 & all_56_29 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e1) & ~ (all_56_11 = e1) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e1) & ~ (all_56_31 = e1) &
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = e0 & op(e0, e1) = e0)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17370), (17452), (17479), (function-axioms)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #496.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17480) all_58_13 = e2 & op(e0, e2) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17480) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17481) op(e0, e2) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17436), (17481), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2132.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17482) all_58_14 = e0 & op(e0, e1) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17482) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17483) op(e0, e1) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17370), (17483), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2158.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17484) all_58_3 = e1 & op(e2, e2) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (158), (219), (16883), (16889), (17324),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17369), (17411), (17484), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #772.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17485) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17485) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17486) all_58_7 = e1 & op(e1, e2) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17486) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17487) all_58_7 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17488) op(e1, e2) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17489) (all_58_1 = e0 & op(e3, e2) = e0) | (all_58_3 = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17489) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17490) all_58_1 = e0 & op(e3, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (17390), (17490), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1968.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17491) all_58_3 = e0 & op(e2, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (16889), (17491) are inconsistent by
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1719.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17492) (all_58_7 = e0 & op(e1, e2) = e0) | (all_58_13 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17492) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17493) all_58_7 = e0 & op(e1, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17493) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17494) op(e1, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (17488), (17494), (function-axioms)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17495) all_58_13 = e0 & op(e0, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17495) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17496) op(e0, e2) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17497) (all_58_0 = e1 & op(e3, e3) = e1) | (all_58_2 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e1)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (167), (17328), (17403), (17497),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #1370.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17498) (all_58_6 = e1 & op(e1, e3) = e1) | (all_58_12 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & op(e0, e3) = e1)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17498) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17499) all_58_6 = e1 & op(e1, e3) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17499) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17500) all_58_6 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17501) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_7 = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17501) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17502) all_58_6 = e2 & op(e1, e3) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17502) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17503) op(e1, e3) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17401), (17503), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2226.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17504) all_58_7 = e2 & op(e1, e2) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17504) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17505) all_58_7 = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17487), (17505) imply:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17506) e2 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (17381), (17506) imply:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17507) all_58_5 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (227), (229), (230),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17369), (17385), (17507), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1248.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17508) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_11 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e1, e0) = e2)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17508) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17509) all_58_8 = e2 & op(e1, e1) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17509) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17510) op(e1, e1) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (17510), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17511) all_58_11 = e2 & op(e1, e0) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17511) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17512) op(e1, e0) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (162), (223), (225),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (17401), (17487), (17488), (17500),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17512), (function-axioms) are inconsistent by
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #418.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17513) all_58_12 = e1 & op(e0, e3) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17513) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17514) all_58_12 = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (9), (218), (17325), (17369), (17496),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17514), (function-axioms) are inconsistent by
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #417.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17515) all_58_13 = e1 & op(e0, e2) = e1
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17372), (17515), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17516) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17325), (17370), (17516), (function-axioms)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #349.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17517) all_58_5 = e0 & op(e2, e1) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17517) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17518) op(e2, e1) = e0
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17382), (17518), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1906.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17519) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_14 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e1) = e0)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (157), (165), (169), (230), (14316),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (17370), (17519),
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #346.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (17520) (all_58_8 = e2 & op(e1, e1) = e2) | (all_58_14 =
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e1) = e2)
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17520) gives:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17521) all_58_8 = e2 & op(e1, e1) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17521) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17522) op(e1, e1) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (14324), (17522), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2206.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17523) all_58_14 = e2 & op(e0, e1) = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17523) implies:
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17524) all_58_14 = e2
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17369), (17524) are inconsistent by
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2044.
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | (17525) all_58_2 = e3 & op(e2, e3) = e3
% 237.75/44.95 | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | ALPHA: (17525) implies:
% 237.75/44.95 | | | | | | | | | | | | | | (17526) op(e2, e3) = e3
% 237.75/44.95 | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | | REF_CLOSE: (167), (16881), (17526), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | | | | | inconsistent by sub-proof #2337.
% 237.75/44.95 | | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | (17527) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 237.75/44.95 | | | | | | | | | | | | | e3 & op(e0, e3) = e3)
% 237.75/44.95 | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | | REF_CLOSE: (159), (163), (14314), (17319), (17527),
% 237.75/44.95 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.95 | | | | | | | | | | | | | #1451.
% 237.75/44.95 | | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | End of split
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | (17528) all_10_2 = e1
% 237.75/44.95 | | | | | | | | | (17529) ( ~ (all_10_0 = e0) & op(all_10_1, e3) = all_10_0 &
% 237.75/44.95 | | | | | | | | | op(e3, e1) = all_10_1 & $i(all_10_0) &
% 237.75/44.95 | | | | | | | | | $i(all_10_1)) | ( ~ (all_10_1 = e2) & op(e3, e1)
% 237.75/44.95 | | | | | | | | | = all_10_1 & $i(all_10_1))
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | COMBINE_EQS: (349), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17530) all_38_2 = e1
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | COMBINE_EQS: (290), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17531) all_56_1 = e1
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (355), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17532) ~ (all_52_1 = e1)
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (357), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17533) ~ (all_52_2 = e1)
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (359), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17534) ~ (all_52_3 = e1)
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (361), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17535) ~ (all_52_4 = e1)
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (363), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17536) ~ (all_52_8 = e1)
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | REDUCE: (45), (17528) imply:
% 237.75/44.95 | | | | | | | | | (17537) op(e3, e3) = e1
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | BETA: splitting (245) gives:
% 237.75/44.95 | | | | | | | | |
% 237.75/44.95 | | | | | | | | | Case 1:
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | (17538) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_2 = e3
% 237.75/44.95 | | | | | | | | | | & op(e2, e3) = e3)
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | REF_CLOSE: (8), (159), (163), (167), (241), (16881), (17532),
% 237.75/44.95 | | | | | | | | | | (17533), (17534), (17538), (function-axioms) are
% 237.75/44.95 | | | | | | | | | | inconsistent by sub-proof #270.
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | Case 2:
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | (17539) (all_58_6 = e3 & op(e1, e3) = e3) | (all_58_12 =
% 237.75/44.95 | | | | | | | | | | e3 & op(e0, e3) = e3)
% 237.75/44.95 | | | | | | | | | |
% 237.75/44.95 | | | | | | | | | | BETA: splitting (17539) gives:
% 237.75/44.96 | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | (17540) all_58_6 = e3 & op(e1, e3) = e3
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | ALPHA: (17540) implies:
% 237.75/44.96 | | | | | | | | | | | (17541) op(e1, e3) = e3
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | REF_CLOSE: (163), (14314), (17541), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | inconsistent by sub-proof #2335.
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | (17542) all_58_12 = e3 & op(e0, e3) = e3
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | ALPHA: (17542) implies:
% 237.75/44.96 | | | | | | | | | | | (17543) all_58_12 = e3
% 237.75/44.96 | | | | | | | | | | | (17544) op(e0, e3) = e3
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | BETA: splitting (246) gives:
% 237.75/44.96 | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | (17545) (all_58_0 = e3 & op(e3, e3) = e3) | (all_58_1 = e3
% 237.75/44.96 | | | | | | | | | | | | & op(e3, e2) = e3)
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | REF_CLOSE: (8), (159), (163), (167), (170), (241), (16882),
% 237.75/44.96 | | | | | | | | | | | | (17532), (17533), (17534), (17545),
% 237.75/44.96 | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.96 | | | | | | | | | | | | #269.
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | (17546) (all_58_4 = e3 & op(e3, e1) = e3) | (all_58_9 = e3
% 237.75/44.96 | | | | | | | | | | | | & op(e3, e0) = e3)
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | BETA: splitting (17546) gives:
% 237.75/44.96 | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | (17547) all_58_4 = e3 & op(e3, e1) = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | ALPHA: (17547) implies:
% 237.75/44.96 | | | | | | | | | | | | | (17548) op(e3, e1) = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REF_CLOSE: (169), (14316), (17548), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | (17549) all_58_9 = e3 & op(e3, e0) = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | ALPHA: (17549) implies:
% 237.75/44.96 | | | | | | | | | | | | | (17550) all_58_9 = e3
% 237.75/44.96 | | | | | | | | | | | | | (17551) op(e3, e0) = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_3, e3,
% 237.75/44.96 | | | | | | | | | | | | | e3, e0, simplifying with (159), (17544) gives:
% 237.75/44.96 | | | | | | | | | | | | | (17552) all_52_3 = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_12,
% 237.75/44.96 | | | | | | | | | | | | | e3, e0, e3, simplifying with (168), (17551) gives:
% 237.75/44.96 | | | | | | | | | | | | | (17553) all_52_12 = e3
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REDUCE: (140), (17552) imply:
% 237.75/44.96 | | | | | | | | | | | | | (17554) ~ (all_52_7 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REDUCE: (139), (17552) imply:
% 237.75/44.96 | | | | | | | | | | | | | (17555) ~ (all_52_11 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REDUCE: (113), (17553) imply:
% 237.75/44.96 | | | | | | | | | | | | | (17556) ~ (all_52_13 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REDUCE: (112), (17553) imply:
% 237.75/44.96 | | | | | | | | | | | | | (17557) ~ (all_52_14 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | REDUCE: (387), (17553) imply:
% 237.75/44.96 | | | | | | | | | | | | | (17558) ~ (all_4_2 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | SIMP: (17558) implies:
% 237.75/44.96 | | | | | | | | | | | | | (17559) ~ (all_4_2 = e3)
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | BETA: splitting (61) gives:
% 237.75/44.96 | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | (17560) ~ (all_20_2 = e1)
% 237.75/44.96 | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | REDUCE: (341), (17560) imply:
% 237.75/44.96 | | | | | | | | | | | | | | (17561) ~ (all_4_2 = e1)
% 237.75/44.96 | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 237.75/44.96 | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | (17562) all_54_15 = e3
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | REF_CLOSE: (299), (17559), (17562) are inconsistent by
% 237.75/44.96 | | | | | | | | | | | | | | | sub-proof #2340.
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | (17563) ~ (all_54_15 = e3)
% 237.75/44.96 | | | | | | | | | | | | | | | (17564) all_54_15 = e2 | all_54_15 = e1 | all_54_15 = e0
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | BETA: splitting (17564) gives:
% 237.75/44.96 | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | (17565) all_54_15 = e2
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | REF_CLOSE: (299), (390), (17565) are inconsistent by
% 237.75/44.96 | | | | | | | | | | | | | | | | sub-proof #2339.
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | (17566) all_54_15 = e1 | all_54_15 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | BETA: splitting (17566) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17567) all_54_15 = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (299), (17561), (17567) are inconsistent by
% 237.75/44.96 | | | | | | | | | | | | | | | | | sub-proof #2338.
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17568) all_54_15 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (17568) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17569) all_4_2 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | SIMP: (17569) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17570) all_4_2 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17571) all_56_31 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REDUCE: (388), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17572) ~ (all_52_13 = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REDUCE: (389), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17573) ~ (all_52_14 = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REDUCE: (17559), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17574) ~ (e3 = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REDUCE: (17561), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17575) ~ (e1 = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | REDUCE: (36), (17570) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | (17576) op(e0, e0) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (17577) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | BETA: splitting (17577) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (17578) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | = e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (14313), (14314), (16881), (17578),
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | #441.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (17579) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (17579) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17580) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e3) = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (17580) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17581) op(e3, e1) = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (17536), (17581), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2309.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17582) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14313), (17571), (17582) are inconsistent by
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | sub-proof #343.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (17583) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.96 | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | BETA: splitting (17583) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (17584) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (17584) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17585) all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e1) & op(e2, e1) = e2 & op(e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | ALPHA: (17585) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17586) op(e1, e2) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17587) op(e2, e1) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (117), (126), (162), (165), (193), (197),
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (258), (269), (14319), (16884), (17572), (17573),
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17586), (17587), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #340.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | (17588) (all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e1) = e1 &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e1) | (all_56_15 = e2 & all_56_27 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e2 & op(e0, e2) = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17588) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17589) all_56_13 = e1 & all_56_19 = e1 & ~ (all_56_1 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e2) & op(e2, e1) = e1 & op(e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | e2) = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17589) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17590) ~ (all_56_31 = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17591) ~ (all_56_21 = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17592) ~ (all_56_1 = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17593) op(e1, e2) = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17594) op(e2, e1) = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17531), (17592) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17595) ~ (e2 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17571), (17590) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17596) ~ (e2 = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_6, e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (162), (17593) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17597) all_52_6 = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_9, e1,
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (165), (17594) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17598) all_52_9 = e1
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (17597) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17599) ~ (all_52_7 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (17599) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17600) ~ (all_52_7 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (17598) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17601) ~ (all_52_13 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (17601) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17602) ~ (all_52_13 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (14317), (17598) imply:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | (17603) ~ (e3 = e1)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | (17604) (all_58_6 = e0 & op(e1, e3) = e0) | (all_58_7 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17604) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17605) all_58_6 = e0 & op(e1, e3) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17605) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17606) all_58_6 = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | (17607) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17607) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | (17608) all_58_0 = e2 & op(e3, e3) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17608) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | (17609) op(e3, e3) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17537), (17609), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2267.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | (17610) all_58_2 = e2 & op(e2, e3) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17610) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | (17611) op(e2, e3) = e2
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (145), (167), (197), (269), (16884), (17572),
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | (17602), (17611), (function-axioms) are
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2291.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | (17612) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (9), (17543), (17606), (17612) are
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #724.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17613) all_58_7 = e0 & op(e1, e2) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17613) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17614) op(e1, e2) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (162), (17593), (17614), (function-axioms)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2136.
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | (17615) (all_58_8 = e0 & op(e1, e1) = e0) | (all_58_11 =
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | e0 & op(e1, e0) = e0)
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17615) gives:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17616) all_58_8 = e0 & op(e1, e1) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17616) implies:
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | | (17617) op(e1, e1) = e0
% 237.75/44.96 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (164), (165),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (217), (227), (229), (230), (232),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (239), (240), (243), (244), (245), (246), (14317),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16889), (17532), (17537),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (17576), (17600), (17602), (17617),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | #656.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (17618) all_58_11 = e0 & op(e1, e0) = e0
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17618) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (17619) op(e1, e0) = e0
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (17573), (17619), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2323.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17620) all_56_15 = e2 & all_56_27 = e2 & ~ (all_56_1 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 = e0)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e0) & op(e2, e0) = e2 & op(e0,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17620) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17621) ~ (all_56_31 = e0)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17571), (17621) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17622) $false
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17622) is inconsistent.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (17623) (all_56_15 = e0 & all_56_27 = e0 & ~ (all_56_1 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e2, e0) = e0 &
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | op(e0, e2) = e0) | (all_56_23 = e1 & all_56_29 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | op(e1, e0) = e1 & op(e0, e1) = e1) | (all_56_23
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | = e0 & all_56_29 = e0 & ~ (all_56_1 = e1) & ~
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e1, e0) = e0 & op(e0, e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | = e0)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (164), (17571), (17572), (17573), (17623),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | #2321.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | (17624) all_20_2 = e1
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | COMBINE_EQS: (341), (17624) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17625) all_4_2 = e1
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (379), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17626) ~ (all_52_7 = e1)
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (386), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17627) ~ (all_52_11 = e1)
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (388), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17628) ~ (all_52_13 = e1)
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (17559), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17629) ~ (e3 = e1)
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (390), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17630) ~ (e2 = e1)
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | REDUCE: (36), (17625) imply:
% 237.75/44.97 | | | | | | | | | | | | | | (17631) op(e0, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 237.75/44.97 | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | (17632) (all_58_2 = e1 & op(e2, e3) = e1) | (all_58_3 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | BETA: splitting (17632) gives:
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | (17633) all_58_2 = e1 & op(e2, e3) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | REF_CLOSE: (167), (17532), (17633), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2229.
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | (17634) all_58_3 = e1 & op(e2, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 237.75/44.97 | | | | | | | | | | | | | | | | (222), (16884), (16889), (17550), (17631),
% 237.75/44.97 | | | | | | | | | | | | | | | | (17634), (function-axioms) are inconsistent by
% 237.75/44.97 | | | | | | | | | | | | | | | | sub-proof #331.
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | (17635) (all_58_5 = e1 & op(e2, e1) = e1) | (all_58_10 =
% 237.75/44.97 | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | BETA: splitting (17635) gives:
% 237.75/44.97 | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | (17636) all_58_5 = e1 & op(e2, e1) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | ALPHA: (17636) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | (17637) all_58_5 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | (17638) op(e2, e1) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | (17639) (all_58_1 = e1 & op(e3, e2) = e1) | (all_58_3 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | & op(e2, e2) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | BETA: splitting (17639) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17640) all_58_1 = e1 & op(e3, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | ALPHA: (17640) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17641) op(e3, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (17535), (17641), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2228.
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17642) all_58_3 = e1 & op(e2, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (222), (16884), (16889), (17550), (17631),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17642), (function-axioms) are inconsistent by
% 237.75/44.97 | | | | | | | | | | | | | | | | | | sub-proof #331.
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | (17643) (all_58_7 = e1 & op(e1, e2) = e1) | (all_58_13 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | e1 & op(e0, e2) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | BETA: splitting (17643) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17644) all_58_7 = e1 & op(e1, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | ALPHA: (17644) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17645) all_58_7 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | (17646) op(e1, e2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (17647) (all_58_9 = e1 & op(e3, e0) = e1) | (all_58_10 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | e1 & op(e2, e0) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (17647) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17648) all_58_9 = e1 & op(e3, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (17648) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17649) all_58_9 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (164), (216), (221),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (222), (16884), (17631), (17649),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | #1600.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17650) all_58_10 = e1 & op(e2, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (17650) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17651) all_58_10 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (9), (231), (233), (16889),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17637), (17651) are inconsistent by sub-proof
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | #992.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | (17652) (all_58_11 = e1 & op(e1, e0) = e1) | (all_58_15 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | e1 & op(e0, e0) = e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (17652) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17653) all_58_11 = e1 & op(e1, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (17653) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17654) all_58_11 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17655) op(e1, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (160), (223), (225),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (226), (14319), (17645), (17654), (17655),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | #1417.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17656) all_58_15 = e1 & op(e0, e0) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | ALPHA: (17656) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | (17657) all_58_15 = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17658) ~ (all_38_2 = e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (17530), (17658) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17659) $false
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | CLOSE: (17659) is inconsistent.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | (17660) ( ~ (all_38_0 = e2) & op(all_38_1, e3) = all_38_0
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = all_38_1 & $i(all_38_0) &
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | $i(all_38_1)) | ( ~ (all_38_1 = e0) & op(e3, e1)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | = all_38_1 & $i(all_38_1))
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | (17661) all_54_8 = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (14314), (17661) are inconsistent by
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2011.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | (17662) all_54_8 = e2 | all_54_8 = e1 | all_54_8 = e0
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (17663) all_54_7 = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (16884), (17663) are inconsistent by
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2296.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | (17664) all_54_7 = e2 | all_54_7 = e1 | all_54_7 = e0
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | (17665) (all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)) | (all_56_18
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | = e2 & op(e2, all_56_19) = e2 & op(e2, e1) =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | all_56_19 & $i(all_56_19))
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17665) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17666) all_56_16 = e3 & op(e3, all_56_17) = e3 & op(e3,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_17 & $i(all_56_17)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17666) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17667) op(e3, e1) = all_56_17
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17668) op(e3, all_56_17) = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_17, e1, e3, simplifying with (169), (17667)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17669) all_56_17 = all_52_8
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17668), (17669) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | (17670) op(e3, all_52_8) = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (17671) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17671) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17672) all_56_0 = e3 & op(e3, all_56_1) = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17672) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17673) op(e3, all_56_1) = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17531), (17673) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17674) op(e3, e1) = e3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14316), (17674), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17675) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17675) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17676) op(e2, e3) = all_56_3
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17677) op(e2, all_56_3) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (17676)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17678) all_56_3 = all_52_1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17677), (17678) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17679) op(e2, all_52_1) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17680) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17680) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17681) all_58_1 = e2 & op(e3, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17681) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17682) all_58_1 = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17683) op(e3, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (162),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (212), (217), (218), (219), (235),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (240), (14324), (16880),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16889), (16890),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529), (17532), (17534), (17537), (17543),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17550), (17645), (17646), (17657), (17660),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17679), (17682), (17683), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #264.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17684) all_58_3 = e2 & op(e2, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17684) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17685) op(e2, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17685), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17686) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17686) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17687) all_58_7 = e2 & op(e1, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17687) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17688) all_58_7 = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17645), (17688) are inconsistent by
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17689) all_58_13 = e2 & op(e0, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17689) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17690) op(e0, e2) = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (227), (230), (235), (236),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (14317), (14318), (16889), (17537),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17550), (17551), (17626), (17638), (17645),
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17646), (17670), (17690), (function-axioms) are
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261.
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (17691) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17691) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17692) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17692) implies:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17693) op(e1, e3) = all_56_5
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17694) op(e1, all_56_5) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (17693)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17695) all_56_5 = all_52_2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17694), (17695) imply:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17696) op(e1, all_52_2) = e1
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17697) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17697) gives:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17698) all_58_1 = e2 & op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17698) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17699) all_58_1 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17700) op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (149), (158),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (164), (167), (170), (212), (217),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (235), (236), (237), (238),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (246), (268), (269), (14324), (16880),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16889), (16890),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529), (17532), (17533), (17534), (17537),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17543), (17550), (17628), (17645), (17646),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17657), (17660), (17662), (17664), (17696),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17699), (17700), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #260.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17701) all_58_3 = e2 & op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17701) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17702) op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17702), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17703) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17703) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17704) all_58_7 = e2 & op(e1, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17704) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17705) all_58_7 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17645), (17705) are inconsistent by
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2134.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17706) all_58_13 = e2 & op(e0, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17706) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17707) op(e0, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (157), (158), (162),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (165), (169), (170), (227), (230), (235), (236),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (244), (14317), (14318), (16889), (17537),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17550), (17551), (17626), (17638), (17645),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17646), (17670), (17707), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17708) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17708) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17709) op(e0, e3) = all_56_7
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17710) op(e0, all_56_7) = e0
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17544), (17709), (17710), (function-axioms)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2070.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17711) all_56_18 = e2 & op(e2, all_56_19) = e2 & op(e2,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_19 & $i(all_56_19)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17711) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17712) op(e2, e1) = all_56_19
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17713) op(e2, all_56_19) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (17638), (17712), (17713), (function-axioms)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #299.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | (17714) (all_56_20 = e1 & op(e1, all_56_21) = e1) |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | (all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23))
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17714) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17715) all_56_20 = e1 & op(e1, all_56_21) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17715) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17716) op(e1, all_56_21) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14313), (17716) imply:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17717) op(e1, e3) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (17533), (17717), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1948.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17718) all_56_22 = e0 & op(e0, all_56_23) = e0 & op(e0,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_56_23 & $i(all_56_23)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17718) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17719) op(e0, e1) = all_56_23
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17720) op(e0, all_56_23) = e0
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_11,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_23, e1, e0, simplifying with (157), (17719)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17721) all_56_23 = all_52_11
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17720), (17721) imply:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | (17722) op(e0, all_52_11) = e0
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (17723) (all_56_0 = e3 & op(e3, all_56_1) = e3) |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_3 & $i(all_56_3))
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17723) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17724) all_56_0 = e3 & op(e3, all_56_1) = e3
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17724) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17725) op(e3, all_56_1) = e3
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17531), (17725) imply:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17726) op(e3, e1) = e3
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (169), (14316), (17726), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2260.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17727) all_56_2 = e2 & op(e2, all_56_3) = e2 & op(e2, e3)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_3 & $i(all_56_3)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17727) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17728) op(e2, e3) = all_56_3
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17729) op(e2, all_56_3) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_1,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_3, e3, e2, simplifying with (167), (17728)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17730) all_56_3 = all_52_1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17729), (17730) imply:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17731) op(e2, all_52_1) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17732) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17732) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17733) all_58_1 = e2 & op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17733) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17734) all_58_1 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17735) op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (158), (159), (162),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (167), (170), (212), (217), (218), (219), (235),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (236), (237), (238), (240), (14324), (16880),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16889), (16890),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529), (17532), (17534), (17537), (17543),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17550), (17645), (17646), (17657), (17660),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17731), (17734), (17735), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #264.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17736) all_58_3 = e2 & op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17736) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17737) op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17737), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17738) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (157), (158),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (165), (169), (216), (217), (218), (219),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (235), (236), (244), (14316),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (16883), (16889), (17534),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17536), (17537), (17543), (17550), (17551),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17626), (17627), (17638), (17645), (17722),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17738), (function-axioms) are inconsistent by
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #259.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (17739) (all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_56_5 & $i(all_56_5)) | (all_56_6 =
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, all_56_7) = e0 & op(e0, e3) =
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_7 & $i(all_56_7))
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17739) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17740) all_56_4 = e1 & op(e1, all_56_5) = e1 & op(e1, e3)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_5 & $i(all_56_5)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17740) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17741) op(e1, e3) = all_56_5
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17742) op(e1, all_56_5) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_2,
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_56_5, e3, e1, simplifying with (163), (17741)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17743) all_56_5 = all_52_2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17742), (17743) imply:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17744) op(e1, all_52_2) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17745) (all_58_1 = e2 & op(e3, e2) = e2) | (all_58_3 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17745) gives:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17746) all_58_1 = e2 & op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17746) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17747) all_58_1 = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17748) op(e3, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (145), (149), (158),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (162), (164), (167), (170), (212), (217),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (218), (219), (221), (235), (236), (237), (238),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (240), (246), (268), (269), (14324), (16880),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (16881), (16882), (16883), (16889), (16890),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17529), (17532), (17533), (17534), (17537),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17543), (17550), (17628), (17645), (17646),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17657), (17660), (17662), (17664), (17744),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17747), (17748), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #260.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17749) all_58_3 = e2 & op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17749) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17750) op(e2, e2) = e2
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (16890), (17750), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2140.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17751) (all_58_7 = e2 & op(e1, e2) = e2) | (all_58_13 =
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e0, e2) = e2)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (121), (157), (158),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (159), (165), (169), (216), (217), (218), (219),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (227), (230), (235), (236), (244), (14316),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (14317), (14318), (16883), (16889), (17534),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17536), (17537), (17543), (17550), (17551),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17626), (17627), (17638), (17645), (17722),
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (17751), (function-axioms) are inconsistent by
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #259.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17752) all_56_6 = e0 & op(e0, all_56_7) = e0 & op(e0, e3)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_56_7 & $i(all_56_7)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17752) implies:
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17753) op(e0, e3) = all_56_7
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17754) op(e0, all_56_7) = e0
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (17544), (17753), (17754), (function-axioms)
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #2070.
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | (17755) all_58_13 = e1 & op(e0, e2) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (17626), (17755), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2275.
% 237.75/44.98 | | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | Case 2:
% 237.75/44.98 | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | (17756) all_58_10 = e1 & op(e2, e0) = e1
% 237.75/44.98 | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | | REF_CLOSE: (164), (17628), (17756), (function-axioms) are
% 237.75/44.98 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2277.
% 237.75/44.98 | | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | | |
% 237.75/44.98 | | | | | | | | | End of split
% 237.75/44.98 | | | | | | | | |
% 237.75/44.98 | | | | | | | | End of split
% 237.75/44.98 | | | | | | | |
% 237.75/44.98 | | | | | | | End of split
% 237.75/44.98 | | | | | | |
% 237.75/44.98 | | | | | | Case 2:
% 237.75/44.98 | | | | | | |
% 237.75/44.98 | | | | | | | (17757) (all_58_5 = e3 & op(e2, e1) = e3) | (all_58_10 = e3 &
% 237.75/44.98 | | | | | | | op(e2, e0) = e3)
% 237.75/44.98 | | | | | | |
% 237.75/44.98 | | | | | | | REF_CLOSE: (164), (165), (14317), (16884), (17757),
% 237.75/44.98 | | | | | | | (function-axioms) are inconsistent by sub-proof #1649.
% 237.75/44.98 | | | | | | |
% 237.75/44.98 | | | | | | End of split
% 237.75/44.98 | | | | | |
% 237.75/44.98 | | | | | End of split
% 237.75/44.98 | | | | |
% 237.75/44.98 | | | | Case 2:
% 237.75/44.98 | | | | |
% 237.75/44.98 | | | | | (17758) all_58_14 = e3 & op(e0, e1) = e3
% 237.75/44.98 | | | | |
% 237.75/44.98 | | | | | REF_CLOSE: (157), (14318), (17758), (function-axioms) are inconsistent
% 237.75/44.98 | | | | | by sub-proof #1647.
% 237.75/44.98 | | | | |
% 237.75/44.98 | | | | End of split
% 237.75/44.98 | | | |
% 237.75/44.98 | | | End of split
% 237.75/44.98 | | |
% 237.75/44.98 | | End of split
% 237.75/44.98 | |
% 237.75/44.98 | Case 2:
% 237.75/44.98 | |
% 237.75/44.98 | | (17759) all_4_2 = e2
% 237.75/44.99 | | (17760) ( ~ (all_4_0 = e1) & op(all_4_1, e0) = all_4_0 & op(e0, e2) =
% 237.75/44.99 | | all_4_1 & $i(all_4_0) & $i(all_4_1)) | ( ~ (all_4_1 = e3) &
% 237.75/44.99 | | op(e0, e2) = all_4_1 & $i(all_4_1))
% 237.75/44.99 | |
% 237.75/44.99 | | COMBINE_EQS: (316), (17759) imply:
% 237.75/44.99 | | (17761) all_44_2 = e2
% 237.75/44.99 | |
% 237.75/44.99 | | COMBINE_EQS: (254), (17759) imply:
% 237.75/44.99 | | (17762) all_56_31 = e2
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (368), (17759) imply:
% 237.75/44.99 | | (17763) ~ (all_52_3 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (379), (17759) imply:
% 237.75/44.99 | | (17764) ~ (all_52_7 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (386), (17759) imply:
% 237.75/44.99 | | (17765) ~ (all_52_11 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (387), (17759) imply:
% 237.75/44.99 | | (17766) ~ (all_52_12 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (388), (17759) imply:
% 237.75/44.99 | | (17767) ~ (all_52_13 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | REDUCE: (389), (17759) imply:
% 237.75/44.99 | | (17768) ~ (all_52_14 = e2)
% 237.75/44.99 | |
% 237.75/44.99 | | BETA: splitting (221) gives:
% 237.75/44.99 | |
% 237.75/44.99 | | Case 1:
% 237.75/44.99 | | |
% 237.75/44.99 | | | (17769) (all_58_9 = e2 & op(e3, e0) = e2) | (all_58_10 = e2 & op(e2,
% 237.75/44.99 | | | e0) = e2)
% 237.75/44.99 | | |
% 237.75/44.99 | | | REF_CLOSE: (164), (168), (17766), (17767), (17769), (function-axioms) are
% 237.75/44.99 | | | inconsistent by sub-proof #2316.
% 237.75/44.99 | | |
% 237.75/44.99 | | Case 2:
% 237.75/44.99 | | |
% 237.75/44.99 | | | (17770) (all_58_11 = e2 & op(e1, e0) = e2) | (all_58_15 = e2 & op(e0,
% 237.75/44.99 | | | e0) = e2)
% 237.75/44.99 | | |
% 237.75/44.99 | | | BETA: splitting (17770) gives:
% 237.75/44.99 | | |
% 237.75/44.99 | | | Case 1:
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | (17771) all_58_11 = e2 & op(e1, e0) = e2
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | REF_CLOSE: (160), (17768), (17771), (function-axioms) are inconsistent
% 237.75/44.99 | | | | by sub-proof #258.
% 237.75/44.99 | | | |
% 237.75/44.99 | | | Case 2:
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | (17772) all_58_15 = e2 & op(e0, e0) = e2
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | ALPHA: (17772) implies:
% 237.75/44.99 | | | | (17773) all_58_15 = e2
% 237.75/44.99 | | | | (17774) op(e0, e0) = e2
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | BETA: splitting (40) gives:
% 237.75/44.99 | | | |
% 237.75/44.99 | | | | Case 1:
% 237.75/44.99 | | | | |
% 237.75/44.99 | | | | | (17775) ~ (all_6_2 = e3)
% 237.75/44.99 | | | | |
% 237.75/44.99 | | | | | BETA: splitting (43) gives:
% 237.75/44.99 | | | | |
% 237.75/44.99 | | | | | Case 1:
% 237.75/44.99 | | | | | |
% 237.75/44.99 | | | | | | (17776) ~ (all_8_2 = e3)
% 237.75/44.99 | | | | | |
% 237.75/44.99 | | | | | | BETA: splitting (46) gives:
% 237.75/44.99 | | | | | |
% 237.75/44.99 | | | | | | Case 1:
% 237.75/44.99 | | | | | | |
% 237.75/44.99 | | | | | | | (17777) ~ (all_10_2 = e1)
% 237.75/44.99 | | | | | | |
% 237.75/44.99 | | | | | | | BETA: splitting (52) gives:
% 237.75/44.99 | | | | | | |
% 237.75/44.99 | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | |
% 237.75/44.99 | | | | | | | | (17778) ~ (all_14_2 = e0)
% 237.75/44.99 | | | | | | | |
% 237.75/44.99 | | | | | | | | REDUCE: (344), (17778) imply:
% 237.75/44.99 | | | | | | | | (17779) ~ (all_8_2 = e0)
% 237.75/44.99 | | | | | | | |
% 237.75/44.99 | | | | | | | | BETA: splitting (55) gives:
% 237.75/44.99 | | | | | | | |
% 237.75/44.99 | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | |
% 237.75/44.99 | | | | | | | | | (17780) ~ (all_16_2 = e0)
% 237.75/44.99 | | | | | | | | |
% 237.75/44.99 | | | | | | | | | REDUCE: (342), (17780) imply:
% 237.75/44.99 | | | | | | | | | (17781) ~ (all_10_2 = e0)
% 237.75/44.99 | | | | | | | | |
% 237.75/44.99 | | | | | | | | | BETA: splitting (58) gives:
% 237.75/44.99 | | | | | | | | |
% 237.75/44.99 | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | (17782) ~ (all_18_2 = e0)
% 237.75/44.99 | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | REDUCE: (339), (17782) imply:
% 237.75/44.99 | | | | | | | | | | (17783) ~ (all_6_2 = e0)
% 237.75/44.99 | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | BETA: splitting (64) gives:
% 237.75/44.99 | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | (17784) ~ (all_22_2 = e1)
% 237.75/44.99 | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | REDUCE: (326), (17784) imply:
% 237.75/44.99 | | | | | | | | | | | (17785) ~ (all_8_2 = e1)
% 237.75/44.99 | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | BETA: splitting (199) gives:
% 237.75/44.99 | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | (17786) all_54_5 = e3
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | COMBINE_EQS: (275), (17786) imply:
% 237.75/44.99 | | | | | | | | | | | | (17787) all_8_2 = e3
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | REDUCE: (17776), (17787) imply:
% 237.75/44.99 | | | | | | | | | | | | (17788) $false
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | CLOSE: (17788) is inconsistent.
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | (17789) ~ (all_54_5 = e3)
% 237.75/44.99 | | | | | | | | | | | | (17790) all_54_5 = e2 | all_54_5 = e1 | all_54_5 = e0
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | BETA: splitting (17790) gives:
% 237.75/44.99 | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | (17791) all_54_5 = e2
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | COMBINE_EQS: (275), (17791) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17792) all_8_2 = e2
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | REDUCE: (366), (17792) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17793) ~ (all_52_1 = e2)
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | REDUCE: (369), (17792) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17794) ~ (all_52_4 = e2)
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | REDUCE: (371), (17792) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17795) ~ (all_52_6 = e2)
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | REDUCE: (375), (17792) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17796) ~ (all_52_9 = e2)
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | REDUCE: (17776), (17792) imply:
% 237.75/44.99 | | | | | | | | | | | | | (17797) ~ (e3 = e2)
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | BETA: splitting (233) gives:
% 237.75/44.99 | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | (17798) (all_58_2 = e2 & op(e2, e3) = e2) | (all_58_3 = e2
% 237.75/44.99 | | | | | | | | | | | | | | & op(e2, e2) = e2)
% 237.75/44.99 | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | BETA: splitting (17798) gives:
% 237.75/44.99 | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | (17799) all_58_2 = e2 & op(e2, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | ALPHA: (17799) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | (17800) op(e2, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | REF_CLOSE: (167), (17793), (17800), (function-axioms) are
% 237.75/44.99 | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | (17801) all_58_3 = e2 & op(e2, e2) = e2
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | ALPHA: (17801) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | (17802) all_58_3 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | (17803) op(e2, e2) = e2
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 237.75/44.99 | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | (17804) ~ (all_24_2 = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | REDUCE: (301), (17804) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | (17805) ~ (all_10_2 = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | (17806) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_2 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | & op(e2, e3) = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | BETA: splitting (17806) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17807) all_58_0 = e2 & op(e3, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | ALPHA: (17807) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17808) op(e3, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17809) all_54_0 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (17809) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17810) all_10_2 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REDUCE: (45), (17810) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17811) op(e3, e3) = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (17808), (17811), (function-axioms) are
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2194.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17812) all_54_0 = e2 | all_54_0 = e1 | all_54_0 = e0
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (292), (17777), (17781), (17805), (17812) are
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2319.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17813) all_58_2 = e2 & op(e2, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | ALPHA: (17813) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17814) op(e2, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | REF_CLOSE: (167), (17793), (17814), (function-axioms) are
% 237.75/44.99 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2336.
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | End of split
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | (17815) (all_58_6 = e2 & op(e1, e3) = e2) | (all_58_12 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | e2 & op(e0, e3) = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | BETA: splitting (17815) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17816) all_58_6 = e2 & op(e1, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | ALPHA: (17816) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17817) all_58_6 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | (17818) op(e1, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17819) all_54_0 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (17819) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17820) all_10_2 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (290), (17820) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17821) all_56_1 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REDUCE: (355), (17820) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17822) ~ (all_52_1 = e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REDUCE: (357), (17820) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17823) ~ (all_52_2 = e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | REDUCE: (359), (17820) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | (17824) ~ (all_52_3 = e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | (17825) (all_58_0 = e2 & op(e3, e3) = e2) | (all_58_1 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | & op(e3, e2) = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17825) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17826) all_58_0 = e2 & op(e3, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17826) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17827) op(e3, e3) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (167), (239), (241),
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (245), (17817), (17818), (17822), (17827),
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | #255.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17828) all_58_1 = e2 & op(e3, e2) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17828) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17829) op(e3, e2) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (170), (17794), (17829), (function-axioms) are
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #254.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | (17830) (all_58_4 = e2 & op(e3, e1) = e2) | (all_58_9 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (17830) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17831) all_58_4 = e2 & op(e3, e1) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | ALPHA: (17831) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17832) op(e3, e1) = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_52_8, e2,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (169), (17832) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17833) all_52_8 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (17833) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17834) ~ (all_52_9 = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (17833) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17835) ~ (all_6_2 = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | SIMP: (17835) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | (17836) ~ (all_6_2 = e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | (17837) all_54_10 = e3
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (17775), (17837) are inconsistent by
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | sub-proof #2313.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | (17838) all_54_10 = e2 | all_54_10 = e1 | all_54_10 = e0
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17838) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | (17839) all_54_10 = e2
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (297), (17836), (17839) are inconsistent by
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2312.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | (17840) all_54_10 = e1 | all_54_10 = e0
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17840) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | (17841) all_54_10 = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (297), (17841) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | (17842) all_6_2 = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (17842) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | (17843) all_6_2 = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (266), (17843) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | (17844) all_56_21 = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (17843) imply:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | (17845) ~ (all_52_14 = e1)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (17846) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_5 = e1 & all_56_17 = e1 & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e1 & op(e1, e3) = e1) | (all_56_7 = e3 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | all_56_25 = e3 & ~ (all_56_1 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e3, e0) = e3 & op(e0, e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | = e3) | (all_56_7 = e0 & all_56_25 = e0 & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e3) & ~ (all_56_11 = e3) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e3) & ~ (all_56_31 = e3) & op(e3,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e3) = e0)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17846) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (17847) (all_56_3 = e3 & all_56_9 = e3 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_11 = e2) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_56_31 = e2) & op(e3, e2) = e3 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3) | (all_56_3 = e2 & all_56_9 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2 & op(e2, e3) = e2) | (all_56_5 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_56_17 = e3 & ~ (all_56_1 = e1) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e1) & ~ (all_56_21 = e1) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e1) & op(e3, e1) = e3 & op(e1, e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (167), (170), (17794), (17822), (17823),
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (17847), (function-axioms) are inconsistent by
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #252.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (17848) (all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_31 = e3) & op(e3, e1) = e1 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = e1) | (all_56_7 = e3 & all_56_25 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_56_1 = e0) & ~ (all_56_11 = e0) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e0) & ~ (all_56_31 = e0) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e3 & op(e0, e3) = e3) | (all_56_7 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_56_25 = e0 & ~ (all_56_1 = e3) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e3) & ~ (all_56_21 = e3) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e3) & op(e3, e0) = e0 & op(e0, e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17848) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17849) all_56_5 = e1 & all_56_17 = e1 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_56_11 = e3) & ~ (all_56_21 = e3)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_56_31 = e3) & op(e3, e1) = e1 & op(e1,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (17849) implies:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17850) op(e1, e3) = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (297), (367), (17783), (17840), (17850),
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #1372.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (17851) (all_56_7 = e3 & all_56_25 = e3 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_11 = e0) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_56_31 = e0) & op(e3, e0) = e3 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = e3) | (all_56_7 = e0 & all_56_25 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_56_1 = e3) & ~ (all_56_11 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e3) & ~ (all_56_31 = e3) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = e0 & op(e0, e3) = e0)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (159), (17821), (17824), (17851),
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | #2271.
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (17852) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 & op(e0, e2)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_56_15 = e0 & all_56_27 = e0 & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e2) & ~ (all_56_11 = e2) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e2) & ~ (all_56_31 = e2) & op(e2,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e2) = e0) | (all_56_23 = e1
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | & all_56_29 = e1 & ~ (all_56_1 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e1, e0) = e1 & op(e0, e1)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_56_23 = e0 & all_56_29 = e0 & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_1 = e1) & ~ (all_56_11 = e1) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_21 = e1) & ~ (all_56_31 = e1) & op(e1,
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e0 & op(e0, e1) = e0)
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17852) gives:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (17853) (all_56_13 = e2 & all_56_19 = e2 & ~ (all_56_1 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_11 = e1) & ~ (all_56_21 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_56_31 = e1) & op(e2, e1) = e2 &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = e2) | (all_56_13 = e1 & all_56_19 =
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_56_1 = e2) & ~ (all_56_11 = e2) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_56_21 = e2) & ~ (all_56_31 = e2) &
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = e1 & op(e1, e2) = e1) | (all_56_15
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & all_56_27 = e2 & ~ (all_56_1 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_11 = e0) & ~ (all_56_21 = e0) & ~
% 237.75/44.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_56_31 = e0) & op(e2, e0) = e2 &